# Factors of 1000 numbers up to googolplex

1. Alpertron
2. Number Theory
3. Factors of 1000 numbers up to googolplex

by Dario Alejandro Alpern

The following table contains all factors I know of the numbers of the type 1010^100 - n, where 0 ≤ n < 1000.

They have no other prime factors less than 350 × 1012.

Please let me know if you found another prime factor of the numbers shown below or if you found a use for this table by filling the form.

All factors not found by me are marked in bold. The discoverers were: FS = Fred Schneider, PC = Pablo Carbajo.

There are 18 numbers that have no known factors.

See the related table including known prime factors of numbers of the form googolplex + n, where 0 ≤ n < 1000.

nPrime factors known
0210^100 × 510^100
1See 1966 known prime factors (mostly found using the program written by David Broadhurst and enhanced by Phil Carmody).
22 × 1433 × 3257 × 4999 × 9769 × 12409
313 × 499679
422 × 3 × 72 × 1279 × 1427 × 4513 × 40471 × 269713 × 363911 × 425857 × 101949923
55 × 31 × 13389276319
62 × 149 × 1920407 × 433561267
73
823 × 625392489737
919 × 47 × 103 × 4523 × 10093 × 14479 × 21379
10See 34910 known prime factors (mostly found using the program written by David Broadhurst and enhanced by Phil Carmody).
117 × 5419
1222 × 11 × 107 × 1847 × 5288015311919
133 × 23
142 × 60149 × 2343269
155 × 1733 × 160639277
1624 × 3 × 132 × 89 × 557 × 593 × 144013 × 577439497 × 167591791907 × 787910425849 × 24403082512507 × 37119443269669
178543 × 991567 × 33698909071 × 51493109399
182 × 7 × 17
1932 × 5261 × 5557 × 8369 × 15749 × 101293 × 23970727247
2022 × 5 × 229 × 8609
218656871 × 78883241 × 148605383 × 13378925927
222 × 3 × 4273 × 56963 × 17985055789 × 196125278533
2311 × 14009
2423 × 29 × 43 × 601 × 3119 × 3701
253 × 52 × 7 × 509 × 80251 × 154321 × 20018502289 × 7979001277381
262 × 43628661784403
2724539783
2822 × 32 × 19 × 10419443
2913 × 347 × 521 × 2053
302 × 5 × 12414692011 × 57567905911511
313 × 523 × 617 × 1709 × 6353027
3225 × 7 × 151 × 4721
33421 × 461
342 × 3 × 11 × 35816135619181
355 × 172 × 97 × 39047 × 93487
3622 × 23 × 31 × 4670872513 × 3145275029381 × 12610011979633
3733 × 184309
382
397 × 181 × 1579 × 79397 × 4227761 × 196762931372009
4023 × 3 × 5 × 288481 × 165056486347
41163
422 × 13 × 41
433 × 743
4422 × 13337 × 2341201
455 × 11 × 71 × 176233501
462 × 32 × 7 × 53 × 4806907801
47192 × 37 × 61 × 437389 × 977373765059
4824 × 59 × 1193161 × 8796709 × 40022137
493 × 113 × 1499 × 38748317623
502 × 52 × 37957721
511001069
5222 × 3 × 17 × 79 × 1912 × 6653 × 13469 × 47870631631 × 138284531941
5372 × 29 × 15934777
542 × 6581 × 4651007
5532 × 5 × 13 × 45018187 × 379427333
5623 × 11 × 47 × 33091 × 501133 × 3313253 × 2166662681
57No prime factors known!
582 × 3 × 241489 × 2289803 × 390555073
5923 × 10259 × 228635923 × 1165372951 × 68991830863667
6022 × 5 × 7 × 8273231 × 16140363299
613 × 56034361
622
63317 × 727 × 30427
6426 × 33 × 8807 × 177595879
655 × 382583 × 1781453
662 × 19 × 119083 × 6251285629
673 × 7 × 11 × 31 × 43 × 91499 × 142871
6822 × 13 × 2083
6917 × 20717
702 × 3 × 5 × 5727960893 × 769494634157 × 28858200041659
713517 × 5847617 × 153283343
7223 × 3217
7332 × 223
742 × 7 × 73 × 233 × 563 × 1447 × 40459 × 786422073247 × 278203837807837
7552
7622 × 3 × 136343
7767 × 66509 × 1587641909873
782 × 11 × 66617
793 × 67219 × 86208457 × 10544796319
8024 × 5 × 109 × 131 × 331 × 17191 × 35281 × 26492380339
817 × 13 × 433 × 7057 × 7247 × 152029 × 460189 × 702908722493 × 47940756869737
822 × 32 × 23 × 29 × 4692001 × 2383712973163
8341
8422 × 37 × 96827 × 13860043 × 5439453087037
853 × 5 × 19 × 2131855888837
862 × 17 × 2531232311
874259 × 33662486383 × 248365212461
8823 × 3 × 7 × 82152866249 × 4338385013399
8911 × 157 × 179 × 283909 × 4470577 × 118754381
902 × 5
9136
9222 × 52543 × 1328407 × 187062061 × 119085948833
9383 × 30851
942 × 3 × 13 × 127
955 × 7 × 9767 × 52712117 × 4473424937
9625 × 22727 × 33941
973 × 1117
982 × 31 × 167 × 9444783988049
9953 × 9901 × 70222005167
10022 × 32 × 52 × 11 × 550102067 × 11549385074291 × 2742178903401533 × 43790548830340397
101No prime factors known!
1022 × 72 × 101 × 1091 × 10243915936417
1033 × 17 × 47 × 3823 × 8971
10423 × 19 × 337
1055 × 23 × 89 × 24290933 × 105950511761
1062 × 3 × 4453557109
10713 × 59 × 2499121 × 479913751 × 151789842493 × 1535372362169
10822 × 61 × 193
10932 × 7 × 1087 × 730321
1102 × 5 × 43 × 4751 × 2283997949
111113 × 29 × 180617 × 31978651 × 117302893559
11224 × 3 × 103 × 2269 × 40031 × 50207 × 110839029663737 × 224399462182261
1131913 × 64428583
1142 × 379 × 1511 × 10559
1153 × 5 × 271782361
11622 × 7 × 71 × 139 × 877 × 87609349
117653 × 150855574845491
1182 × 33 × 5049449921
119107 × 313 × 683 × 7179671
12023 × 5 × 13 × 17 × 911 × 431831 × 963581
1213 × 37 × 479 × 3299 × 8089 × 11426189 × 32301202722277
1222 × 11 × 2251 × 24281 × 3712566623 × 45882215083
1237 × 19 × 463
12422 × 3 × 41
12553 × 49658899 × 723261414979
1262
12732 × 307163 × 39308957 × 160154437 × 21172299019
12827 × 23 × 87281 × 1174189703 × 56951677481
12931 × 4567
1302 × 3 × 5 × 7 × 709 × 6035431 × 10858637
13179 × 3967 × 506263 × 17718781747 × 42629067990601
13222 × 97 × 21821
1333 × 11 × 13 × 1578277 × 120783885569
1342 × 227 × 7451 × 497752181 × 815496727
1355
13623 × 32 × 277 × 21444877 × 5970682961
1377 × 17 × 263 × 13007 × 435649
1382 × 137 × 12527 × 8841840467
1393 × 472539971 × 363025664867
14022 × 5 × 29 × 2099 × 5107
1411005720581 × 131860082539
1422 × 3 × 19
143No prime factors known!
14424 × 7 × 11 × 67 × 359 × 53149 × 4040419919 × 75704410343767
14533 × 5 × 2332195511
1462 × 13 × 21893 × 5428909
14773 × 8193324658823
14822 × 3 × 948659 × 326884560858629
14914779
1502 × 52 × 47 × 1801
1513 × 72 × 23 × 3229
15223 × 53 × 173 × 10007943171899
15343 × 5227
1542 × 32 × 17 × 878743 × 15704333
1555 × 11 × 149 × 9157 × 552107
15622 × 59093 × 164890717
1573 × 985267746341
1582 × 7 × 37 × 197
15913
16025 × 3 × 5 × 31
16119 × 3581 × 6449707621627
1622 × 113 × 367 × 431 × 538003463 × 64409565883807
16332 × 215201981
16422 × 7476919
1655 × 7 × 412 × 281 × 220780661
1662 × 3 × 11 × 59
167No prime factors known!
16823 × 225109
1693 × 29 × 61 × 311 × 1517308799 × 4955088167
1702 × 5 × 6121 × 19597 × 4142947
17117
17222 × 34 × 7 × 13 × 383 × 863 × 136421 × 7768379
173No prime factors known!
1742 × 23
1753 × 52 × 1062908299 × 50769647233 × 68015973835883
17624 × 83 × 7348577 × 1943066053
17711 × 3306629884543 × 82090145482601
1782 × 3 × 14243543 × 88462274129
1797
18022 × 5 × 19 × 218589659
18132 × 1931 × 3623
1822 × 106921301
183151 × 4271
18423 × 3 × 409 × 811 × 129061409759111
1855 × 132 × 62449726986683
1862 × 7 × 1259 × 25719136733 × 41414761943
1873 × 71 × 12049 × 226231 × 5120419
18822 × 11 × 17 × 117911 × 180629 × 10733197 × 41777557
189109 × 8066379329357
1902 × 32 × 5 × 49558990057
19131
19226 × 613 × 4988003 × 198053231 × 1143586727
1933 × 7 × 13331 × 4273666303
1942 × 89 × 201833 × 342047 × 2647097
1955 × 37 × 236507 × 789019421 × 16736576117
19622 × 3 × 43 × 211 × 21961 × 475679 × 244084847
19723 × 47 × 839 × 11117 × 107609 × 181432637047
1982 × 13 × 29 × 3083 × 107897
19933 × 11 × 19 × 26576193649 × 14546767094099
20023 × 52 × 73 × 3847 × 267543457
201239 × 42373 × 267451 × 30800587 × 168770149226377
2022 × 3 × 272971 × 43077289
203101 × 2383127 × 4774663 × 12688369
20422 × 163 × 5060791 × 27618366475927
2053 × 5 × 17 × 53 × 293 × 131787265300261
2062 × 41 × 8074269400607
2077
20824 × 32 × 5147
209199 × 825588451
2102 × 5 × 11 × 79
2113 × 13 × 67 × 131 × 283
21222
213126097 × 946291 × 31228929649
2142 × 3 × 7 × 5693 × 2497337 × 16115221 × 473098459
2155 × 103 × 677 × 323803
21623
21732 × 2531 × 887069 × 96491537 × 769514237
2182 × 19 × 269
219No prime factors known!
22022 × 3 × 5 × 23 × 73 × 181 × 373
2217 × 11 × 127
2222 × 17 × 31 × 10061 × 70313 × 58035979
2233 × 3909469
22425 × 13
22552 × 59 × 2412 × 8599 × 16811 × 37517 × 41611 × 16580269 × 9130007531 × 9860433889 × 64410653462731
2262 × 33 × 107
22729 × 21089 × 2309230549
22822 × 7
2293 × 97 × 307 × 1947551 × 17802131
2302 × 5 × 61 × 29217997
231No prime factors known!
23223 × 3 × 112 × 37
233761 × 4553006063
2342
23532 × 5 × 7 × 3969437
23622 × 3041954961967 × 82696117537933
23713 × 19
2382 × 3 × 51109
23917 × 43
24024 × 5 × 22691
2413
2422 × 7 × 3824055559057
24311 × 23 × 191 × 1433101 × 5193733 × 574729979 × 2434887457 × 2738067067091 × 96389544352331 × 274132659152221
24422 × 32 × 47 × 7237
2455 × 20122499 × 49527901061 × 44559136055911 × 224611123344589
2462 × 157
2473 × 41 × 1951 × 2383
24823
24972 × 229 × 6737 × 95239 × 10757076767
2502 × 3 × 53 × 13 × 13681 × 827433683
25134811531
25222 × 251 × 42178895508649
25334 × 31 × 1471 × 598469327107
2542 × 11 × 128221
2555 × 139 × 145072522774477
25628 × 3 × 7 × 17 × 19 × 29 × 5623 × 26449 × 59393 × 476506721 × 3685213297 × 14091037823617
257No prime factors known!
2582 × 53 × 71 × 257 × 17011 × 17581 × 2152663 × 29411939
2593 × 83 × 4376147 × 2890048793479
26022 × 5 × 1123 × 9613 × 241655749
2616553 × 938099 × 22643768166137
2622 × 32 × 397093 × 35520571
2637 × 13 × 2086796611
26423 × 172771103 × 298163709689 × 25865231613451
2653 × 5 × 11 × 167 × 390332003
2662 × 23
2671688485837
26822 × 3 × 179 × 587 × 106727
26937 × 887 × 2713 × 13033 × 907613137
2702 × 5 × 7 × 571 × 37231087 × 170794969
27132
27224 × 271 × 844309
27317 × 438661 × 5911973
2742 × 3 × 99277 × 151273 × 5652606729529
27552 × 19 × 113 × 137 × 3216213416011
27622 × 11 × 13
2773 × 7
2782 × 67
279No prime factors known!
28023 × 33 × 5 × 370677443
2816839787590533
2822 × 43 × 14650373 × 72375683
2833 × 89 × 1319
28422 × 7 × 31 × 59 × 8933
2855 × 29 × 4251405255287
2862 × 3 × 1747414709101
28711 × 135241 × 37697119723 × 133102949453 × 30330140268289
28825 × 41 × 414833 × 22737193 × 9376446842431
28932 × 13 × 23 × 79 × 349 × 85933 × 441043 × 3403957
2902 × 5 × 17 × 162564109
2917 × 47 × 61 × 54089417
29222 × 3 × 285675916508401
29373 × 468239 × 34815727787
2942 × 19 × 559593283
2953 × 5 × 18517
29623 × 223 × 31453957
297487
2982 × 32 × 72 × 11 × 109 × 135654377
299177269
30022 × 52 × 105361 × 1318463
3013 × 193 × 2789 × 8669
3022 × 13 × 4833739 × 565730159 × 1590466015351
303No prime factors known!
30424 × 3 × 101 × 149 × 9871 × 901854197
3055 × 7 × 864639560243
3062 × 37
30733 × 17 × 233 × 3466157
30822 × 264450973249
30911 × 12844067
3102 × 3 × 5 × 347987 × 4262431 × 6472102333
31153 × 691
31223 × 7 × 23 × 719 × 907 × 3215871725327
3133 × 19 × 10457 × 338341 × 76184657
3142 × 29 × 3931 × 52832933 × 8656953931 × 6012708391387
3155 × 13 × 31 × 11499479
31622 × 32 × 5233 × 110183 × 529131563
31714051 × 52348830203071
3182 × 103 × 29389
3193 × 7 × 653732551
32026 × 5 × 11 × 40949
321577 × 521010892079
3222 × 3 × 85717 × 92233 × 1558003077913
3231384717 × 45408631 × 5566593209
32422 × 172 × 2623147 × 5281751 × 315778843483
32532 × 52 × 43 × 173 × 2833 × 3533
3262 × 7 × 97 × 43591 × 94687 × 1664797
3273853 × 828523
32823 × 3 × 13 × 16308635243 × 342338739791
32941 × 71 × 10341445379
3302 × 5 × 4349 × 15259
3313 × 11 × 33617 × 1252326847 × 446231314303
33222 × 19
3337 × 107 × 619 × 208673
3342 × 35 × 151 × 439 × 4007 × 7735172293
3355 × 23 × 1933 × 1495777
33624 × 13397 × 6650978500447
3373 × 794101619
3382 × 47 × 1919479
3398293 × 1024577 × 10674899
34022 × 3 × 5 × 7 × 5011 × 89208463 × 187842199 × 2512301819
34113 × 17 × 419 × 2492317 × 37282229 × 48005818177
3422 × 11 × 83 × 131
34332 × 29 × 37 × 59 × 51746988499693
34423 × 154920761
3455 × 67 × 569 × 506507
3462 × 3 × 312 × 1608671
34772 × 102481 × 10594058131
34822 × 127 × 387253 × 2350333 × 36252793
3493 × 443 × 541 × 1249 × 3326899 × 162724699
3502 × 52 × 1615591 × 4134337
35119 × 882313 × 58736603131
35225 × 32 × 61 × 193513
353112 × 797 × 10189857893
3542 × 7 × 132 × 353 × 4520560529
3553 × 5 × 197 × 18805321 × 40589645903
35622 × 518801 × 281353967
3579931
3582 × 3 × 17 × 23 × 971 × 989623 × 3823459 × 45092609 × 92364673123
3591163 × 328129 × 4697479
36023 × 5 × 16427
36133 × 7 × 227 × 467 × 310423 × 902981
3622 × 37100659110433
36310369
36422 × 3 × 11 × 53 × 499 × 15733 × 18443 × 4695547 × 182744369107889
3655 × 3659
3662 × 73 × 3266781653
3673 × 13 × 163 × 43658677 × 2645670803
36824 × 7 × 43 × 79 × 3433 × 1351781 × 4820587
369389 × 8167
3702 × 32 × 5 × 19 × 41 × 9277 × 30983
3712728605533 × 17787545849
37222 × 29 × 89 × 6317 × 682688437
3733 × 2333
3742
37553 × 7 × 11 × 17 × 782378231 × 1713769207
37623 × 3 × 347 × 5279
37731 × 1451895938323 × 65917833749543
3782 × 1694023 × 33238626881
37932 × 16750309
38022 × 5 × 13 × 37 × 317 × 28201 × 1087747
381232 × 98417422335263
3822 × 3 × 7 × 15054433
38346389115222039
38427 × 643 × 1613 × 4297 × 217463 × 28736299
3853 × 5 × 47 × 101737
3862 × 11 × 5485331 × 4519625440723 × 32368482810553
387No prime factors known!
38822 × 33 × 113
3897 × 19
3902 × 5 × 903073 × 1591278349
3913 × 1914641 × 4879921
39223 × 17 × 2399 × 5301367 × 5355056839199
39313 × 457 × 19648812751 × 39078151993 × 267894772177
3942 × 3 × 139
3955 × 491 × 39409 × 3352339
39622 × 72 × 547 × 10067
39732 × 11
3982 × 1378573547977
39915862068791
40024 × 3 × 52 × 71 × 263 × 78823 × 3675238979 × 4274216059 × 28239093263 × 121524377906161
40129 × 181 × 1093 × 4353821
4022 × 59 × 401
4033 × 7 × 157 × 1386816163709 × 78452656496177
40422 × 23
4055 × 101 × 49739
4062 × 32 × 13 × 941 × 7951 × 22571491 × 20780792994329
407109 × 211 × 397 × 93241
40823 × 11 × 192 × 31 × 199 × 769 × 22298810311
4093 × 17 × 29131 × 31694695847 × 716045579741
4102 × 5 × 7
41141 × 43 × 331 × 2081 × 2897
41222 × 3 × 67 × 137 × 821 × 4003 × 23143 × 46327 × 181583703953
41361 × 277
4142 × 1495426255607
41534 × 5 × 6876561239 × 11766824087
41625
4177 × 37 × 53 × 1721 × 3329 × 13001 × 26989530799477
4182 × 3 × 9811 × 94368949
41911 × 13 × 631
42022 × 5
4213 × 103 × 2077027 × 7242674267 × 1047385959131
4222 × 564926347
42397
42423 × 32 × 7 × 11923
42552 × 83 × 829 × 3727 × 134455549 × 269288023
4262 × 17 × 7979249 × 1937550949 × 14755333877
4273 × 19 × 23 × 6257 × 298307 × 13815913
42822 × 2389 × 10771
4291039 × 257980183
4302 × 3 × 5 × 11 × 29 × 2339657
4317 × 1018709
43224 × 13 × 47 × 167 × 313 × 983
43332 × 16229 × 1015552501
4342 × 191 × 1658161 × 248988419
4355 × 1031 × 1644067 × 17130567678139
43622 × 3 × 2819 × 23917 × 44427076274701 × 256416850732711
437197408130363263
4382 × 7 × 7177 × 2662072909
4393 × 31 × 73 × 2958814867
44023 × 5 × 107 × 239 × 663161 × 2688081923
44111 × 337 × 4931 × 549481 × 2448107 × 103489117
4422 × 33 × 8291 × 5917886537741 × 6135860186909
44317 × 40237 × 3100957 × 2665360153 × 143259694927
44422 × 214091
4453 × 5 × 72 × 13
4462 × 19 × 281 × 114326499163
44779 × 179 × 659 × 96661289353 × 165597423840767
44826 × 3
44911161
4502 × 52 × 23 × 449 × 94560774776647 × 129628123957337
45132 × 16353257 × 860386673 × 1165606457
45222 × 7 × 11 × 41 × 1033
453149
4542 × 3 × 37 × 43 × 421 × 857 × 32479 × 16588823 × 227798843
4555 × 1019 × 28961 × 33349 × 90650759 × 1649757607
45623 × 25467500347 × 1143739390499
4573
4582 × 13 × 329657 × 2396320691
4597 × 29 × 13577 × 1154119 × 300020377
46022 × 32 × 5 × 17
46159 × 89 × 6007 × 5096133687503
4622 × 419473
4633 × 11 × 6823 × 1877863963
46424 × 297251 × 287070060631 × 1002464472353
4655 × 19 × 388013447
4662 × 3 × 7 × 241 × 1523 × 10133
4675987 × 67685899
46822
46933 × 6521
4702 × 5 × 31 × 53
47113 × 71 × 853 × 1625494957
47223 × 3 × 2663 × 3739 × 445618751
4737 × 23 × 131
4742 × 112 × 61 × 7470428852629
4753 × 52 × 127 × 1076753
47622 × 2381 × 21589
47717 × 757 × 268439 × 8268619 × 22634137 × 28899529
4782 × 32 × 229 × 1301 × 175897 × 126665163619667
47947 × 67 × 321961
48025 × 5 × 7 × 311
4813 × 134876473 × 99631624951
4822 × 92914435137151
483953
48422 × 3 × 13 × 19 × 463987 × 1547389 × 8879503 × 11383353721
4855 × 11 × 151
4862 × 9862679
48732 × 7 × 269 × 6584033 × 195918011
48823 × 29 × 283893231067
4895350608203851
4902 × 3 × 5
49137 × 169501
49222 × 3323 × 164051
4933 × 41 × 379 × 503 × 263271089
4942 × 72 × 17 × 193 × 283 × 461 × 1439 × 3586850669
4955 × 4919 × 141539
49624 × 34 × 11 × 23 × 23999839 × 4805391601 × 186884738221
49713 × 43
4982 × 173 × 293 × 1907
4993 × 647 × 3933277
50022 × 53
5017 × 31 × 113 × 1999 × 964303279
5022 × 3 × 111523871
50319 × 251 × 359 × 1297 × 1119403
50423 × 5273857
50532 × 5 × 773 × 104678553769
5062 × 101 × 1783 × 48247 × 1588979323 × 31809452867
50711
50822 × 3 × 7 × 83 × 886819 × 1619329 × 216127290227
5092801 × 5197
5102 × 5 × 13
5113 × 17
51229 × 73
513280953851
5142 × 32 × 433 × 32911 × 532547
5155 × 7 × 257 × 22469
51622 × 109 × 1362653
5173 × 29 × 12202339 × 1740525427297
5182 × 11 × 17107 × 4794037 × 6004557188303
51923 × 223
52023 × 3 × 5 × 59 × 97 × 105031
521561530623 × 52776546917 × 808204883179
5222 × 7 × 19 × 19448371 × 675140437 × 185249036527099
52333 × 132 × 53 × 3053263 × 155075840191
52422 × 103 × 752431 × 1086139 × 736877017
52552 × 300254299 × 624595229 × 13819522559
5262 × 3 × 47 × 79 × 6386209
52711398283783
52824 × 17 × 37
5293 × 7 × 11 × 367 × 4079 × 111187 × 332473 × 2510503 × 1104583111 × 27991746037 × 3088116178153
5302 × 5 × 163 × 4937 × 19007976781
5312953 × 30935327
53222 × 32 × 31
533139 × 41759 × 63262282277 × 58260799349141
5342 × 41 × 509 × 1225769 × 6853633 × 296400917 × 692054001013 × 230907293838737
5353 × 5 × 61 × 19051 × 101867813 × 2144326361 × 959298626129
53623 × 7 × 13 × 307
5373113483
5382 × 3 × 1423
53911933
54022 × 5 × 11 × 43 × 233 × 43517
54132 × 19 × 13037
5422 × 23 × 71
54373 × 271
54425 × 3 × 1061 × 6769726783
5455 × 17 × 1619
5462 × 29 × 67
5473 × 107 × 83789129
54822 × 7687 × 75503 × 28578031
54913 × 137 × 13483300183673
5502 × 33 × 52 × 7 × 89 × 521 × 59221
55111
55223 × 197 × 300307002140773
5533 × 35851 × 29933222437 × 303876853331
5542 × 523 × 24842833
5555 × 383
55622 × 3 × 2754299
5577
5582 × 20063
55932
56024 × 5 × 19 × 157 × 8181033918011
5611013 × 3180029 × 147652451 × 3654576157
5622 × 3 × 11 × 13 × 17 × 105079547
56331 × 23893 × 229646846490833
56422 × 7 × 92593
5653 × 5 × 23 × 37 × 1049
5662
56716199123
56823 × 32 × 929
56910487 × 468230024683
5702 × 5
5713 × 7 × 15810181 × 3551710895599
57222 × 121931
57311 × 47 × 557 × 1770213061
5742 × 3 × 1880437497047
57552 × 13 × 29 × 41 × 75793 × 1768619 × 5174911943
57626 × 53
57735 × 5532691
5782 × 7
57917 × 19 × 59
58022 × 3 × 5 × 56831690698961
58138336944628057
5822 × 181 × 54091
5833 × 43 × 2434850659
58423 × 11
5855 × 7 × 73
5862 × 32 × 463 × 69260842518649
587No prime factors known!
58822 × 13 × 23 × 227 × 599 × 313369340784023
5893
5902 × 5 × 99901 × 3421020431
59183 × 729359 × 10713727 × 16029593222939
59224 × 3 × 72 × 382621
593373 × 409 × 431 × 1187 × 2161 × 90107 × 2233433767 × 207802038181
5942 × 31 × 19661 × 95279
59532 × 5 × 112 × 76015889998247
59622 × 17 × 61 × 191068679
597607 × 21929 × 12793981
5982 × 3 × 19 × 21803 × 90514759
5997 × 167 × 2503
60023 × 52 × 479 × 38299 × 210460513
6013 × 13 × 5569 × 17861167
6022 × 37 × 127 × 149
603787 × 2711
60422 × 33 × 29 × 131 × 28693573
6055 × 79 × 24287663219
6062 × 7 × 11
6073 × 101 × 199 × 2609 × 5091377
60825 × 14580061 × 2413708897609 × 19286154963587
609593 × 991 × 11587
6102 × 3 × 5 × 2089
61123
61222 × 661 × 1223 × 1531
61332 × 7 × 172 × 67 × 71 × 96331
6142 × 13 × 113 × 7455110137
6155 × 2147863
61623 × 3 × 41 × 24169
61711 × 19 × 97 × 57526327
6182 × 211 × 397297 × 486991 × 104294990475751
6193 × 19973 × 78017
62022 × 5 × 7 × 47 × 3463069 × 15212060653
621441356129
6222 × 32 × 5403997
62317993413
62424 × 8147
6253 × 54 × 31 × 109 × 191 × 601 × 34871 × 70997 × 208391 × 467477
6262 × 43 × 179 × 11746227083
6277 × 13 × 103 × 2909 × 3697 × 308075423 × 9983711359
62822 × 3 × 11 × 1217 × 337817 × 328461137803
62953 × 110881 × 2025641 × 32188139
6302 × 5 × 17 × 12905702774281
63133 × 320669653 × 20634864169 × 129757814311
63223 × 125591 × 406404701 × 40947851899
63329 × 601828313 × 649265167 × 21396924395107
6342 × 3 × 7 × 23 × 5424469
6355 × 27893
63622 × 19 × 151 × 701 × 258847 × 884158664647
6373 × 563 × 302429 × 49003428449401
6382 × 59 × 349 × 424247
63911 × 37 × 89 × 576001 × 641791 × 374589977
64027 × 32 × 5 × 13 × 1609 × 2293 × 409951 × 54784034311 × 276483052751
64172 × 823 × 17797355077
6422 × 641
6433 × 4547 × 53101 × 9072059 × 2257261619687 × 37681614572653
64422 × 63659
6455 × 797986020701
6462 × 3 × 1009 × 2521
64717 × 263723
64823 × 7 × 617 × 1193 × 31337 × 157393
64932
6502 × 52 × 11 × 673
6512411 × 1608494471
65222 × 3 × 5762749 × 1778923099 × 653713853357
65313 × 49921 × 189727891
6542 × 107 × 4663 × 98563 × 2398391
6553 × 5 × 7 × 19 × 5897
65624 × 31 × 5715023
65723 × 41 × 61 × 2021500489 × 350360139887
6582 × 34 × 73 × 38317
6597083532943 × 86040936419
66022 × 5 × 26513 × 73589 × 466077263 × 969725116013 × 153522641587283
6613 × 11 × 1051
6622 × 7 × 292
663263 × 1667 × 474127 × 191601417979
66423 × 3 × 17 × 10181
6655
6662 × 13 × 881
66732 × 47
66822 × 137771
6697 × 43 × 733
6702 × 3 × 5 × 67901 × 380189 × 14989933817 × 46997950085831
671173 × 39719
67225 × 11 × 139 × 518736643
6733
6742 × 19 × 83 × 5801 × 10198121 × 12400755527 × 16343057168117
67552
67622 × 32 × 7 × 37 × 35339
6774063631287 × 314798701956187
6782 × 837191 × 21978403 × 113138057
6793 × 13 × 239 × 68501156701
68023 × 5 × 23 × 67
68117 × 33287 × 105239 × 232003 × 440567 × 10958339963
6822 × 3 × 53 × 17933574949
6837 × 11
68422 × 71 × 79 × 7681 × 94007 × 382804257197
68533 × 5
6862 × 137 × 42302144783
68731 × 193 × 1633201
68824 × 3 × 6871 × 88904993536631
689283756250257
6902 × 5 × 72 × 277 × 5642233
6913 × 29 × 8627
69222 × 132 × 10243 × 19753 × 914657 × 42072472370507
69319 × 163 × 10247 × 694319 × 63484740329 × 324238329143
6942 × 32 × 11 × 5657 × 100747 × 7330893529879
6955 × 52837
69623 × 496097083 × 728113741 × 4774349161
6973 × 7 × 59 × 317 × 111271 × 1210289 × 3973154644937
6982 × 17 × 41
699164831 × 888257 × 29228369 × 60276689419
70022 × 3 × 52 × 6067 × 49304491
7011889 × 690869
7022 × 4649 × 4004933 × 606083671
70332 × 23 × 60026999
70426 × 7 × 1973
7055 × 11 × 13 × 3099460871363
7062 × 3
707229 × 241 × 353
70822 × 101 × 56767 × 1848863 × 4503123699793
7093 × 3211073135587
7102 × 5
7117
71223 × 33 × 19 × 43 × 1124176787 × 23856843063643
71337 × 3191
7142 × 47 × 97 × 335747 × 3911416849 × 129023748983293
7153 × 5 × 17 × 1289
71622 × 112 × 460393 × 123085012481
717157 × 919
7182 × 3 × 7 × 13 × 31 × 61 × 859 × 5531
719No prime factors known!
72024 × 5 × 29 × 1554917490619
72132 × 12487 × 72019
7222
723347 × 3368269 × 37583629
72422 × 3
72552 × 7 × 1811 × 2371 × 32587 × 66343 × 156653434787
7262 × 23 × 27143 × 66749 × 86857 × 328177
7273 × 11 × 113 × 281 × 52067641 × 3463852039
72823 × 89 × 41737 × 13050339293
729127 × 739 × 3691 × 7631555531
7302 × 32 × 5 × 103 × 174761 × 24869051
73113 × 19 × 73 × 92851267
73222 × 7 × 17 × 5407560059117
7333 × 1549 × 137659
7342 × 109 × 5591 × 375826231813
7355 × 53 × 131
73625 × 3 × 1164393619 × 484323832711
73752667 × 9945667
7382 × 11
73934 × 72 × 41 × 8999 × 108557
74022 × 5
741No prime factors known!
7422 × 3 × 223 × 331 × 72889447 × 157777794071
7436322013 × 2013872569
74423 × 13 × 37321 × 411506562583
7453 × 5 × 313 × 1321 × 49767747191
7462 × 7 × 1777
74767 × 45119 × 69001
74822 × 32
74911 × 17 × 23 × 29 × 31 × 197
7502 × 53 × 19 × 37 × 11069 × 21143999 × 84287138657549
7513 × 149
75224 × 751 × 23173 × 350695211
7537 × 977 × 13656103
7542 × 3 × 251 × 218849 × 19260551 × 34717829 × 274166461
7555 × 43 × 71 × 827 × 99055679
75622 × 59 × 269 × 20773 × 1462099 × 84195909834871
75732 × 13 × 83 × 742542358343
7582 × 389 × 1742798839
759750361984993
76023 × 3 × 5 × 7 × 11 × 419 × 1097 × 122279 × 146449921147
76147 × 107 × 35731
7622 × 9967 × 30449
7633 × 79 × 181
76422 × 3301 × 67759
7655 × 17573 × 279430544513 × 439675847389
7662 × 33 × 17 × 167 × 30697 × 20425595648743
7677 × 110501 × 52270763 × 5579126024369
76828 × 915312911
7693 × 192 × 14108329
7702 × 5 × 13 × 653 × 21523
77111 × 19069021
77222 × 3 × 23 × 257 × 29867 × 12420853
773233 × 439 × 71933 × 74509
7742 × 7
77532 × 52 × 997
77623 × 7959825841907
777283
7782 × 3 × 29 × 337
77961 × 9629
78022 × 5 × 31 × 41 × 5339993
7813 × 7 × 205757611
7822 × 11 × 11729177 × 172421567
78313 × 17 × 4106779 × 471105280433
78424 × 32 × 487 × 5533651 × 161142361 × 5216519107 × 197218832658971
7855
7862 × 743 × 98317 × 123840015521 × 8714885607209
7873 × 37 × 151 × 1789 × 495151
78822 × 72 × 19 × 53 × 1153 × 23581 × 255260666090029
789No prime factors known!
7902 × 3 × 5 × 727 × 23633 × 120943
791293 × 311
79223 × 443 × 1455284981
79333 × 11 × 31489 × 12024161
7942 × 1995110489
7955 × 7 × 23 × 1481 × 3779 × 659499287 × 191624844997
79622 × 3 × 13
79713095107 × 46241087 × 9067750999393
7982 × 43 × 1381 × 6301 × 133766573029
7993 × 809 × 42727
80025 × 52 × 17
801997201
8022 × 32 × 7 × 683 × 1255253
803401 × 61007 × 409769
80422 × 11 × 73 × 397 × 383219 × 31299449147
8053 × 5 × 179 × 613 × 261217071277607
8062 × 199
80719 × 29 × 1283 × 131933 × 33416211701
80823 × 3 × 47 × 13282177
8097 × 13 × 101 × 2297 × 210201293 × 787953143 × 9437059900291
8102 × 5 × 138358049
81132 × 31 × 97 × 139
81222 × 1942963215703
813No prime factors known!
8142 × 3 × 67 × 271 × 451790042131
8155 × 11 × 59 × 227 × 3539143
81624 × 7 × 191 × 4870067
8173 × 17 × 89 × 3061 × 400601 × 233667037026953
8182 × 23 × 1699 × 25525897 × 468407941 × 300584359021
8192473 × 126563682631987
82022 × 38 × 5 × 5393 × 32233 × 615679
82141 × 9649361 × 20884020181
8222 × 13 × 1103
8233 × 7 × 137 × 50077 × 3079725218173
82423 × 37 × 19145770859
82552 × 3863
8262 × 3 × 11 × 19 × 71 × 1157489 × 12250807111 × 73620726183569
827573197 × 2340451 × 69438493
82822 × 467 × 28663 × 23615107007
82932 × 211 × 20655997 × 569477537
8302 × 5 × 7
831860462397037
83226 × 3 × 2875427
833103 × 5167 × 78607 × 11835651027883
8342 × 17
8353 × 5 × 13 × 21031 × 91151
83622 × 29 × 10079 × 7040426297 × 90521918611
83772 × 112 × 244301 × 13842281
8382 × 32 × 23279411
839709 × 74873 × 5745827
84023 × 5 × 61 × 83 × 113 × 937 × 76041989 × 106593113665921
8413 × 23 × 43 × 53 × 571 × 883 × 11243 × 20874057981929
8422 × 31 × 79 × 12665929
843109 × 307 × 6344857
84422 × 3 × 7 × 173 × 14903027 × 106166029 × 169633862677
8455 × 19
8462 × 245520347 × 92195641564399
84733 × 2546595119737
84824 × 11 × 13 × 391582026271
849923364889
8502 × 3 × 52 × 457 × 2011
8517 × 17 × 210803
85222 × 2539 × 173793492619
8533 × 5813
8542 × 30803 × 104207 × 500231
8555 × 47 × 587 × 967 × 2441 × 74551 × 182579
85623 × 32 × 127 × 163 × 64852235573 × 2237530131121
8574741553 × 179562511
8582 × 7 × 991621
8593 × 11 × 104846269643
86022 × 5 × 219158983
861132 × 37 × 1747
8622 × 3 × 41 × 359 × 82073 × 366511 × 111983161410011
863499
86425 × 19 × 23 × 6091 × 954263
86532 × 5 × 7 × 29
8662 × 131 × 1151 × 5521
867606959
86822 × 3 × 17 × 107 × 43368509
8691459 × 188831 × 387433 × 2134943
8702 × 5 × 11 × 543971 × 75345253 × 360449158655549 (FS)
8713 × 25307 × 166175747923
87223 × 7 × 379 × 1621
87331
8742 × 33 × 13 × 592 × 157
87553 × 421 × 12421925741
87622 × 947 × 163307 × 513341 × 6441653 × 131674210769
8773 × 73 × 479418598291
8782 × 1693 × 1861 × 42433
8797 × 184135393891 × 3116656559579
88024 × 3 × 5 × 193 × 13062523 × 20354016643
88111 × 67 × 171091 × 2608721 × 70053151009
8822
88332 × 19 × 3079 × 1036656433 × 7627295009
88422 × 43 × 26245873 × 6825668817299
8855 × 17 × 68560624409
8862 × 3 × 74 × 491
88713 × 23 × 614722631
88823 × 4729 × 412457 × 23219389 × 2164075229
8893 × 236060198187071
8902 × 5 × 541
891220573 × 26792958419
89222 × 32 × 11 × 677
8937 × 7428270793
8942 × 29 × 53 × 112967 × 4906085077 × 11030979287 × 21164341442341
8953 × 5
89627 × 367 × 7193
89771 × 1658483209 × 3580586185961 × 20691312083489
8982 × 3 × 37 × 577
899449 × 1867
90022 × 52 × 7 × 13 × 149 × 3319
90134 × 61 × 1997 × 224718988472647
9022 × 172 × 19 × 47
90311 × 41 × 3221
90423 × 3 × 31 × 22324021 × 40521361
9055 × 8689 × 101685798481739
9062 × 89 × 17286539 × 110103061
9073 × 7
90822 × 97 × 4214580865307
9091664504726539 × 16857083094169
9102 × 32 × 5 × 232 × 101
9111361 × 11959 × 14879
91224 × 1759 × 88698557141
9133 × 13 × 8724943
9142 × 7 × 11 × 569 × 212227 × 30613813 × 1608025283
9155 × 4177 × 57637 × 8349257297
91622 × 3 × 9936859 × 46757219 × 454991337877
9174817 × 591066951467
9182 × 239 × 1583 × 4531663
91932 × 17 × 53611 × 46242324414511
92023 × 5 × 18127
9217 × 19 × 79
9222 × 3 × 18859 × 32606352403
92329 × 83 × 5347 × 5741 × 6133 × 35521 × 74561
92422 × 2301220507 × 3058990601
9253 × 52 × 11
9262 × 13 × 263 × 9431
92743
92825 × 33 × 7 × 47623 × 2662607 × 4275251213
92935765991839 × 4430275037143
9302 × 5
9313 × 19583 × 12806531
93222 × 1367 × 49537
93323 × 59 × 167 × 6109752937
9342 × 3 × 3001 × 4091438231
9355 × 72 × 31 × 37 × 90833 × 2124121451 × 3757171427 × 381847292349577 (MP)
93623 × 11 × 17 × 103 × 229 × 1318232423
93732 × 1558137653 × 6775075065623
9382 × 151 × 383 × 49844251
93913 × 85837 × 142660339 × 1229822851
94022 × 3 × 5 × 19
941No prime factors known!
9422 × 7 × 5012451109
9433 × 547
94424 × 41 × 181 × 3607 × 27795687091
9455 × 113111
9462 × 32 × 197 × 1229 × 174259 × 420037 × 53208007 × 58605901
94711 × 53 × 433 × 2719 × 64776172261 × 162651181159
94822 × 67 × 241
9493 × 7 × 47 × 1373 × 3343 × 5869
9502 × 52 × 73 × 139 × 28283 × 1741321 × 10792861511 × 401126576309813 (PC)
9512247454949
95223 × 3 × 13 × 29 × 109 × 619 × 1109 × 306913417
95317 × 113 × 2261461
9542 × 269663
95533 × 5 × 461
95622 × 7 × 23
95765815504629509
9582 × 3 × 112 × 5099
95919 × 11785879788187
96026 × 5 × 137
9613 × 3203 × 3709 × 24971 × 32987 × 761571673
9622 × 61 × 2957 × 169661 × 303340019 × 7866284027323
9637 × 1487 × 87688430791057
96422 × 32 × 1348405039 × 4863004123
9655 × 13 × 223
9662 × 31 × 373 × 7559 × 2779657
9673 × 277 × 14741 × 119833637997421
96823 × 712 × 16820139487 × 433183881503 × 3957692918713
96911 × 842892683
9702 × 3 × 5 × 7 × 17 × 43 × 688596421
971No prime factors known!
97222 × 37 × 859787 × 2478078409019
97332 × 82171
9742 × 51085751 × 521616383 × 3058863877
97552 × 107 × 401843339
97624 × 3 × 6595891
9777
9782 × 13 × 19 × 5479 × 1262203
9793 × 23
98022 × 5 × 11 × 1021 × 74759
98129 × 130477 × 16902839
9822 × 34 × 11743
983127 × 2117222617
98423 × 72 × 179
9853 × 5 × 41 × 26467505017
9862 × 3350143
98717 × 349 × 285510143 × 1778636443 × 8338318230881
98822 × 3 × 1063 × 939551
9892677 × 6599614472309
9902 × 5 × 87149 × 2204933
99132 × 7 × 11 × 13 × 8423
99225 × 59 × 29819
993877
9942 × 3 × 761
9955 × 89 × 811 × 1987 × 182537587
99622 × 47 × 503 × 1237 × 15329 × 6867924421
9973 × 19 × 31 × 131 × 1901 × 400753789
9982 × 7
999249449

## Number of prime factors

DigitsGoogolplex - 1Googolplex - 10Other numbers
1261899
243649
3102387
485268
5188224
61115176
72018151
81636133
92540128
102357116
113181102
123310389
132614280
143716075
152310541

## Number of factors known up to different powers of 10

Factors10110210310410510610710810910101011101210131014Bound
022812788676052464137312825221918
12691991621491261101019588878581757269
2208241228204188182169158149145131129126125126
3127167203204208203202193191172171170168161162
479106112126145156155166167179181175175180175
5447690113106109118119118125125127131129131
61641485867758796109111125124124126124
7172132294350525253555461677075
831220272527313942444654555756
9327111517192023232322252827
102246108889121312111113
11122013333135679
12000101233764433
13011121112234454
14000102222212212
15000000000010000
16000011110001122
17000000001000000
18000000000111100
19000000000000011

You can download the program (source and Windows executable code) I wrote in order to factor these numbers. If you want to extend the table, I appreciate that you download the code and then run it in a Windows command line as:

`GOOGOL starting_number`

This version supports numbers up to 16 × 1014.

The output file is named `cccc`. It contains the starting number and the factors as a series of lines where each line contains a value n that corresponds to the value googolplex - n and the prime divisor. You can stop the program by pressing the key Esc. Please copy its contents (if you found factor(s)) in this form. You will be credited for your discovery.

Last updated on May 3rd, 2016.