Factors of 1000 numbers starting from googolduplex

  1. Alpertron
  2. Number Theory
  3. Factors of 1000 numbers starting from googolduplex

by Dario Alejandro Alpern

The following table contains all factors I know of the numbers of the type 1010^(10^100) + n, where 0 ≤ n < 1000.

They have no other prime factors less than 1013.

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.

Notice the huge number of small prime factors of googolduplex + 10 compared to other numbers.

All factors not found by me are marked in bold. The discoverer was: FS = Fred Schneider.

There are 17 numbers that have no known factors.

See the related table including known prime factors of 1000 numbers up to googolduplex, i.e., of the form googolduplex - n, where 0 ≤ n < 1000.

nPrime factors known
0210^(10^100) × 510^(10^100)
1No prime factors known!
22 × 3 × 100735769 × 239169648779
37
422 × 18917 × 540247949
53 × 5 × 29 × 950723 × 666666667
62 × 84711481739
753 × 5467983397
823 × 32 × 21337801 × 38447401
95501
10See 21763 known prime factors
113 × 599 × 4504897
1222 × 619 × 21163 × 1167277
13665723
142 × 3 × 61 × 306359 × 2610504216781
155 × 211 × 2412647 × 86097841
1624 × 17 × 241 × 2446673 × 261817313 × 78967381201
1733 × 7 × 1831 × 4091
182 × 107 × 3593 × 901960279747 × 3182188139267
1943 × 2753 × 1440274059379
2022 × 3 × 5 × 62603
2111 × 18980309
222 × 8964947 × 19172763851 × 37309905433
233 × 13 × 139 × 673 × 18301 × 122231
2423 × 7 × 782671
2552 × 8837 × 28248277 × 3240029281
262 × 32 × 31 × 71 × 13049
2737 × 79 × 349 × 2131 × 4159 × 270270271
2822 × 12329 × 43338064267
293 × 19 × 109 × 1171 × 133813
302 × 5
317 × 15443 × 75503 × 156259
3225 × 3 × 11 × 9241 × 5114731 × 84577411
3317 × 23 × 127 × 1877
342 × 29 × 3931935989
3532 × 5
3622 × 13
3755987 × 325329654599
382 × 3 × 7 × 47 × 239 × 7933 × 567857
39No prime factors known!
4023 × 5 × 41 × 336884131
413 × 3023
422
4311 × 7477
4422 × 33 × 28746499 × 65675861 × 57571800973
455 × 72
462
473 × 59 × 197 × 83939888297
4824 × 19
4913 × 661 × 1069
502 × 3 × 52 × 17 × 227 × 139681 × 3842033747 × 12296978251
51131 × 269
5222 × 7 × 4999
5332 × 18743 × 45191 × 128153
542 × 11 × 241410899
555 × 3673 × 6361
5623 × 3 × 23 × 283
5731 × 67
582
593 × 7 × 4305073 × 37566747817
6022 × 5 × 53 × 258519656809 × 1144383634189
61246906131
622 × 32 × 13 × 43 × 97 × 152519682589
6329
6426 × 37 × 113 × 457 × 733 × 1181 × 11889233 × 34088749 × 510999830633 × 1015417629433
653 × 5 × 11 × 701
662 × 7 × 6763 × 270315763
6717 × 19 × 863
6822 × 3 × 157 × 2851
69523 × 727621 × 842447
702 × 5 × 152417
7134 × 3187903 × 123456791 × 1351759447 × 2359390711
7223 × 73
737 × 83 × 89
742 × 3
7552 × 13 × 61 × 315949 × 474706483 × 133154927011
7622 × 11 × 4339 × 620773 × 894583344049 × 1264100199253
773 × 6029
782 × 419 × 85223
7923 × 21481 × 54673 × 1648919 × 865896667817
8024 × 32 × 5 × 7 × 167 × 2341 × 16141 × 21149 × 108907 × 300667 × 7325683
8141 × 233 × 1873 × 2729 × 4972113449
822 × 787 × 24977
833
8422 × 17 × 4729
855 × 47 × 193 × 1493 × 9684740391769
862 × 3 × 19 × 2347567
877 × 11 × 1319 × 11287 × 49531
8823 × 13 × 31
8932
902 × 5 × 179 × 20662619
915149213749863
9222 × 3 × 29 × 1669 × 16561
93136379 × 2297923 × 1099740241
942 × 72 × 78901 × 89611 × 235196561
953 × 5 × 136999
9625 × 181873 × 450293 × 4145005307 × 1272768294319
9771 × 677 × 937
982 × 33 × 11 × 5209 × 6681683 × 7384457
99261127
10022 × 52 × 101 × 481489 × 2149621 × 5334629101 × 7274900341 × 10667669849 × 11154847189 × 24357487529 × 34161513509 × 50271860141 × 93763643521 × 260388123109 × 3130825817209 × 3474266111861
1013 × 7 × 13 × 17 × 37 × 139361
1022 × 23 × 101719 × 353429
103192177367619
10423 × 3 × 2111 × 21347 × 171047 × 282991 × 684730725163
1055 × 19 × 43
1062 × 59 × 79 × 1327 × 3917 × 396581
10732 × 7937 × 20989391
10822 × 7 × 709
10911
1102 × 3 × 5 × 196201
111No prime factors known!
11224 × 967 × 11239
1133 × 53 × 103 × 8243 × 63281
1142 × 13 × 8192099 × 5809560576397
1155 × 7 × 4643
11622 × 32 × 281 × 1583 × 166018159 × 818026645019 × 7671224646131
11721061 × 2146159 × 267293153 × 1844067395273
1182 × 17 × 942213581
1193 × 31 × 151 × 14747156173
12023 × 5 × 11 × 4943 × 938183
12129 × 60077
1222 × 3 × 7 × 41 × 163 × 173 × 45273559 × 133662953 × 197378227913
123260394853
12422 × 19 × 67 × 94823 × 196884841 × 336840151897 × 3898556974549
12533 × 53 × 23 × 107
1262 × 1259113 × 903032709119
12713
12827 × 3 × 74713 × 1083125041
1297 × 1549
1302 × 5 × 2213 × 149579
1313 × 112 × 2327737
13222 × 47 × 194933
133No prime factors known!
1342 × 32
1355 × 172
13623 × 7 × 61 × 137 × 2971
1373 × 14449 × 30893 × 46654429
1382 × 372 × 109 × 2837 × 3360461364313
139191
14022 × 3 × 5 × 13
141277 × 859
1422 × 11 × 181 × 311 × 24086323
14332 × 72 × 19 × 149 × 316033
14424
1455 × 73
1462 × 3
14717509 × 376927 × 2444251
14822 × 232 × 43 × 4673
1493 × 43507693 × 8355378868471
1502 × 52 × 7 × 29 × 31 × 223 × 1505179447
151547 × 114643 × 555941
15223 × 35 × 17
15311 × 132 × 373 × 509 × 3824606243641
1542 × 443 × 520907509 × 961980319
1553 × 5 × 218453 × 2092381 × 4433629 × 372547009 × 24042550663
15622 × 83 × 72739 × 188147
1577 × 12641 × 2028503
1582 × 3 × 302429
15997 × 17713
16025 × 5 × 127 × 8774299
16132 × 5653 × 16047853 × 3618308731 × 4563848153 × 1166737123049 × 1230648012493
1622 × 19 × 89 × 139 × 676891 × 12215295227
16341 × 74788447
16422 × 3 × 7 × 11 × 479 × 42323
1655 × 59
1662 × 13 × 53 × 1993 × 9364963
1673 × 839
16823 × 71 × 45767 × 680293
16917 × 62633 × 5020021
1702 × 32 × 5 × 57383 × 1389297181
1717 × 23 × 1303 × 11443
17222 × 3833 × 4969 × 599429 × 2731893758543
1733
1742 × 11173 × 29023
17552 × 11 × 37 × 355954253
17624 × 3 × 642359
177113 × 45837577
1782 × 7 × 223876738367
17933 × 13 × 29 × 47 × 1545641
18022 × 5
18119 × 31 × 809428853
1822 × 3 × 131 × 4639 × 27017 × 39690251 × 55909507 × 4505580113
183No prime factors known!
18423
1853 × 5 × 7 × 79
1862 × 11 × 17 × 1553
1871359487 × 7423873 × 1222005313
18822 × 32 × 98389
189199 × 941
1902 × 5 × 2243
1913 × 43 × 67 × 108303901
19226 × 72 × 13 × 541
193123407
1942 × 3 × 23 × 313 × 39139 × 350137
1955 × 239977225973
19622 × 253022637389
19732 × 11 × 61 × 5471 × 621541 × 29466191 × 99312463
1982 × 5101 × 15166969 × 322340737
1997 × 12553
20023 × 3 × 52 × 19 × 4108269329
201101
2022 × 8726203 × 38174083 × 242915260807 × 2000665038247 × 9247977253849
2033 × 17 × 458526623
20422 × 41 × 983 × 10148051 × 8386311386203
2055 × 13 × 367 × 42953
2062 × 33 × 7 × 409 × 2273 × 453403553
207No prime factors known!
20824 × 11 × 29 × 554789 × 90360846803
2093 × 229 × 21692441083
2102 × 5 × 175993
2112741 × 1793717 × 16578562811 × 267028127237
21222 × 3 × 31 × 37 × 631 × 3347 × 44186773 × 47106487 × 7651337657
2137 × 141803 × 3150677
2142 × 327590117
21532 × 5 × 881 × 11489147 × 12310303
21623 × 103 × 15386933 × 4967315579
21723 × 263
2182 × 3 × 13 × 73 × 383 × 1021
21911 × 19 × 53 × 1958531
22022 × 5 × 7 × 17 × 1166441
2213 × 2129
2222 × 9733
2231238863 × 117219929 × 7614796987703
22425 × 32 × 59 × 977 × 5669 × 26744933 × 16676873903
22552 × 157 × 3361
2262 × 47 × 211
2273 × 7 × 8465101 × 49342343 × 979558329853
22822
229221653
2302 × 3 × 5 × 11 × 532159 × 2171609907991
23113 × 1277 × 3484971541921
23223 × 107 × 2447 × 17742391
23334 × 337 × 1453 × 14552449
2342 × 7 × 43 × 17191
2355 × 9479 × 1191719 × 4040677 × 5685136879 × 340494352193
23622 × 3 × 317
23717 × 292 × 2357 × 28506253
2382 × 19 × 92993
2393 × 71 × 83
24024 × 5 × 23 × 164701 × 5252971 × 417357132769
24172 × 11 × 2903 × 1741811 × 19599341
2422 × 32
24331
24422 × 13 × 197
2453 × 5 × 41
2462 × 2878147 × 6432533033 × 1328949480787
247109 × 167 × 1223 × 6983 × 157739 × 4620403
24823 × 3 × 7 × 3754393801
24937 × 3825043 × 551639820631
2502 × 53 × 251 × 487 × 17293 × 63659
25132 × 89 × 331
25222 × 112
2532647 × 28463 × 181243 × 235649207 × 363670777
2542 × 3 × 17 × 104311 × 2981896516369
2555 × 7
25628 × 97 × 257 × 577 × 27329 × 58049
2573 × 13 × 19 × 241
2582 × 61 × 67
259147779 × 1598371 × 1003030313
26022 × 33 × 5 × 1657 × 2674978759 × 4231902391
261586543 × 5914688407
2622 × 7 × 14501771 × 5381338214003
2633 × 11 × 23
26423 × 79 × 1095401 × 54473249
2655 × 379 × 262597
2662 × 3 × 29 × 444469 × 2115933503 × 205966432631
267No prime factors known!
26822 × 2141 × 363731
26932 × 7 × 179 × 955777 × 31809719 × 36252941 × 148901323 × 1479225679 × 72892239557 × 271834602001
2702 × 5 × 13 × 151 × 271 × 5839 × 1659187
27117 × 266549
27224 × 3 × 53 × 1889 × 75209
27347 × 137 × 63439
2742 × 11 × 31 × 4793 × 263167
2753 × 52 × 16691 × 57487 × 437867
27622 × 7 × 19 × 14993151601
27743 × 227 × 239
2782 × 32 × 193 × 25455467
2791619 × 4721 × 51410509 × 66093259 × 23360680513
28023 × 5 × 757 × 85439 × 4305985577869
2813
2822 × 1489 × 4241
2837 × 13 × 59 × 824894786279
28422 × 3 × 78553 × 110437 × 64078513 × 3060818989
2855 × 11 × 163 × 1151 × 1054197435763
2862 × 23 × 37 × 41 × 3169 × 51954612599
28733 × 127 × 196867409
28825 × 17 × 1255281161 × 2570997707881
289569 × 36182009 × 57963457
2902 × 3 × 5 × 74 × 113 × 44709583
29173 × 12028568899
29222 × 149 × 304200440659 × 1987157628499
2933 × 159558727513
2942 × 3677 × 15084463 × 1484281234619
2955 × 19 × 29 × 173 × 467 × 4583 × 577626641 × 1120897121
29623 × 32 × 11 × 13 × 1483 × 23081 × 814399
2977 × 307
2982 × 3491 × 1172835094213
2993 × 5958415054919
30022 × 52 × 327211
301139 × 571
3022 × 3 × 101 × 2393879 × 16843993 × 4132570829
303293 × 5717 × 33091
30424 × 7 × 48238155359
30532 × 5 × 17 × 31 × 1597 × 2579
3062 × 684805483
30711 × 4579837 × 247541719
30822 × 3 × 347
30913 × 23 × 3251 × 198839 × 721783
3102 × 5 × 712 × 928651 × 3583593199
3113 × 7 × 21817 × 1617563 × 30686917249
31223 × 6532245981853
313131
3142 × 34 × 192 × 233
3155
31622 × 47128699 × 85747354877
3173 × 8501
3182 × 7 × 11
31961 × 103 × 12396101
32026 × 3 × 5 × 43 × 47 × 269 × 91367 × 301384212443
32140991861 × 427147081 × 9688259689673
3222 × 132 × 17 × 83 × 11685061 × 268607902799
32332 × 37 × 181 × 30030031 × 79446097
32422 × 29 × 1061 × 15217 × 144253 × 57666565009
32552 × 7 × 53 × 67 × 70175918623 × 2956948410083
3262 × 3 × 359731
32741 × 3797
32823 × 107129625209
3293 × 11 × 1721 × 45497 × 334507
3302 × 5 × 191 × 8627
331346391 × 6692669 × 35499941 × 1401427701679
33222 × 32 × 7 × 23
33319 × 6803 × 6833 × 89650799363
3342 × 1913 × 7537 × 113926937
3353 × 5 × 13 × 2861
33624 × 31
337No prime factors known!
3382 × 3 × 319632155467
33972 × 17 × 107 × 283
34022 × 5 × 11 × 89 × 463 × 6113 × 192037 × 259151
34133 × 5279 × 281549 × 120434291
3422 × 59 × 90709 × 43694647 × 59982251911
34379 × 28631 × 69371 × 123397 × 14093448713 × 139101552461 × 767396553247
34423 × 3 × 29789 × 64264498747
3455 × 17362099
3462 × 7 × 89189 × 3675870495181
3473 × 28031 × 3093061 × 13093800869
34822 × 13 × 40763 × 37427347 × 2907962204141
349No prime factors known!
3502 × 32 × 52 × 3767
35111 × 432161
35225 × 19 × 353 × 433 × 11579
3533 × 7 × 29 × 97 × 359 × 10169 × 83185787689
3542
3555 × 23 × 575418379 × 2980523864107
35622 × 3 × 17 × 109 × 1559 × 14401
3572237 × 70138193
3582 × 1523 × 2879 × 3229 × 538771 × 5887751 × 2165230933 × 2298541747
35932 × 389 × 773 × 5483 × 131143
36023 × 5 × 7 × 37 × 1931 × 25693 × 301493 × 18702639463 × 5168419066487
36113 × 769 × 31333
3622 × 3 × 11 × 286208227 × 172945239757
36343 × 1009 × 316507
36422 × 73
3653 × 5 × 1153 × 6734327 × 21956777
3662 × 2333
3677 × 31 × 47 × 659
36824 × 33 × 41
369No prime factors known!
3702 × 5 × 192448609
3713 × 19 × 2713 × 62423 × 3915157 × 66613382461 × 69238537153 × 573934766309
37222 × 29453
373112 × 17 × 223
3742 × 3 × 7 × 13 × 159319 × 193381 × 20853869
37553 × 563 × 79149349 × 2957707943
37623 × 349 × 431
37732 × 2591 × 266983 × 1244183 × 502150029529
3782 × 23 × 53 × 3947 × 2248507 × 28242671
37944687
38022 × 3 × 5 × 61 × 691 × 881353996751
3817 × 71 × 6133 × 44531 × 258403 × 4300069
3822 × 29 × 157 × 991 × 3725493371
3833 × 8122836050249
38427 × 11 × 1750809223
3855 × 8609
3862 × 32 × 2339 × 23327
38713 × 397
38822 × 72 × 199 × 421 × 8741 × 27455651803 × 38233291517 × 443061113699
3893 × 37877779 × 26127500177
3902 × 5 × 17 × 19 × 1051 × 1355332841
39110177 × 68915736037
39223 × 3 × 67 × 2179
39327431
3942 × 827 × 638679929
39535 × 5 × 7 × 11 × 6449
39622 × 129431369 × 13572223597
39737 × 281 × 747398359 × 994524482297
3982 × 3 × 31
399919
40024 × 52 × 13 × 401 × 146412481
4013 × 23 × 59 × 25828169
4022 × 7
403101 × 113 × 15048108827
40422 × 32 × 829 × 8655527
4055 × 83 × 1221223 × 162875641
4062 × 11 × 43 × 1361144496013 × 10676205046387 (FS)
4073 × 17 × 399735191
40823 × 87313 × 128621
4097 × 19 × 41 × 821 × 18911
4102 × 3 × 5 × 137 × 4435325404651
41129 × 883 × 323789 × 1609451869 × 7949540387 × 153184161281
41222
41332 × 13
4142 × 47 × 127 × 167 × 3467 × 28723
4155
41625 × 3 × 7 × 953 × 971 × 89098974677
41711 × 21803591
4182 × 277 × 12487 × 348779
4193 × 499
42022 × 5 × 2687 × 110479 × 2827797439
421151
4222 × 33 × 79 × 103 × 643 × 5881 × 8641
4237 × 119173 × 2694607
42423 × 172 × 23
4253 × 52 × 76367 × 13260341
4262 × 13 × 18839 × 48947 × 251328503
4274003
42822 × 3 × 11 × 19 × 461 × 243568307 × 631258513 × 7253867654233
42931 × 89 × 439 × 3931 × 710837
4302 × 5 × 7 × 82352111 × 7054464337 × 1905162064177 × 3473343596809
43132 × 53 × 174259 × 50921569
43224 × 67718659 × 122664013
433No prime factors known!
4342 × 3 × 37 × 10011697 × 5997402508813
4355 × 34337
43622 × 4213988512457
4373 × 72 × 73 × 211
4382 × 229
43911 × 13 × 2845363 × 8818482523
44023 × 32 × 5 × 29 × 139 × 719 × 117973 × 11995391 × 28963575227
44117 × 61 × 149 × 197 × 7433
4422
4433 × 2502384827
44422 × 7 × 131 × 797 × 2113
4455 × 1840393
4462 × 3 × 107 × 2955600757
44719 × 23 × 7853 × 30569405693
44826 × 163 × 179 × 449 × 491
44933 × 43 × 857
4502 × 52 × 11 × 41 × 97 × 2745044103563
4517 × 444147511
45222 × 3 × 13 × 71 × 1013 × 6337 × 2678251
453311 × 743 × 4173383623813
4542 × 11261
4553 × 5 × 4441
45623 × 8231 × 16661 × 3322217
457635707
4582 × 32 × 7 × 17
45967 × 88672093
46022 × 5 × 31 × 59 × 82067533 × 1226896639
4613 × 11 × 47
4622
46314033 × 44053 × 2008189 × 6062911 × 84343169 × 1579403466967
46424 × 3
4655 × 7 × 13 × 109 × 439441 × 13598237 × 28966891 × 1301687275127
4662 × 19 × 5186698911707
46732 × 501427 × 10270234831
46822 × 173 × 7489 × 21383 × 342708077
46929 × 38047 × 34602509 × 1563412337
4702 × 3 × 5 × 23 × 9744067
47137 × 193 × 1129
47223 × 7 × 11 × 9293 × 518521 × 630559 × 16486863479
4733
4742 × 1723 × 9061571801 × 2017970156617
47552 × 17
47622 × 34 × 2791 × 434597
47754767 × 2082499
4782 × 13 × 59443 × 2009120437 × 5360763851 × 43745786647
4793 × 7 × 2137 × 43889
48025 × 5 × 263
4811381999
4822 × 3 × 3413 × 9587 × 245527 × 7739273
48311 × 25305368437
48422 × 53 × 1760291801
48532 × 5 × 19
4862 × 72
48712161 × 10323077 × 22613797
48823 × 3 × 83 × 49171169
48978017 × 32059817 × 109685956361
4902 × 5 × 25373 × 217223423
4913 × 132 × 31 × 41 × 525599
49222 × 17 × 43 × 521 × 164321
4937 × 23
4942 × 32 × 112
4955 × 2869351 × 932348273
49624 × 457607 × 853302223
4973 × 419 × 129517 × 97697763967
4982 × 29 × 241 × 7923553903147
49919073 × 63853 × 81571247
50022 × 3 × 53 × 7
50179 × 251 × 2803699
5022 × 61
50333 × 747781
50423 × 13 × 19 × 101 × 181 × 227 × 9973
5055 × 11 × 3109523 × 123958028377
5062 × 3
5077 × 313 × 6871 × 1292887
50822 × 37 × 47 × 9767 × 9116491 × 2043149987
5093 × 17 × 23071 × 304099 × 2652101 × 2715487
5102 × 5 × 73 × 42853 × 47759526877
511No prime factors known!
51229 × 32 × 104940169
513257 × 503 × 2543 × 1625171 × 131228533 × 206929374593
5142 × 7 × 1472297173357
5153 × 5
51622 × 11 × 23 × 113 × 239
51713
5182 × 3 × 89 × 149213
51959 × 38728609 × 581900570107
52023 × 5
52132 × 7 × 191 × 457
5222 × 31 × 124703 × 5891288653
52319 × 71 × 1219582879
52422 × 3 × 991777 × 2259143 × 13261499
52552 × 103 × 3533
5262 × 17 × 67 × 373 × 6794390107 × 54589459079
5273 × 11 × 29 × 20226247
52824 × 7 × 761 × 1291909 × 711122971619
5291693 × 76693093 × 6247925581
5302 × 33 × 5 × 13 × 1773377 × 2050876463 × 114413843977
531529939 × 4802805617317
53222 × 41
5333 × 560701
5342
5355 × 72 × 43 × 39831105763 × 5898998405527
53623 × 3
53753 × 15559
5382 × 11 × 557 × 12413 × 557321
53932 × 23 × 157 × 9497 × 108029989
54022 × 5 × 67523 × 274667 × 63401761 × 77220811
541127 × 271 × 1237 × 3499 × 4241711
5422 × 3 × 7 × 19 × 33637
54313 × 17 × 2042272709
54425 × 7121 × 9323569
5453 × 5 × 37 × 329779
5462 × 791543 × 314865311
54797 × 137 × 233 × 1279
54822 × 32 × 247889
5497 × 11 × 2003 × 33447529
5502 × 52 × 647 × 2339856073
5513
55223 × 211575676049
55331 × 107 × 317
5542 × 3 × 37483 × 235904897 × 246271516133
5555 × 47 × 4933360633 × 167187407713
55622 × 7 × 13 × 29 × 223290611 × 537224371951
55734 × 52200927853
5582 × 472669
5591259 × 4741830227 × 928880022911 × 1229312564401
56024 × 3 × 5 × 11 × 17 × 84917309
56119 × 1433 × 92440813
5622 × 23 × 2731 × 163979 × 610823 × 14584145671
5633 × 7 × 61 × 1193 × 2633 × 193507 × 2978683 × 3861073
56422 × 683 × 6661 × 297391 × 19420897
5655 × 102456463
5662 × 32 × 12569 × 7089749
56781007612879
56823
5693 × 13
5702 × 5 × 7 × 337 × 587 × 10314368777
57111 × 83 × 5821425023
57222 × 3 × 151 × 367 × 8765959409
57341 × 159209
5742 × 109 × 1289 × 347985362057
57532 × 52 × 131 × 358691
57626 × 1321
5777 × 17 × 593 × 601 × 4157
5782 × 3 × 43 × 59
579139
58022 × 5 × 19 × 79 × 1359471163
5813 × 167
5822 × 11 × 13 × 37 × 331 × 17977 × 112099809911
58373 × 1381 × 136393
58423 × 33 × 72 × 31 × 263519 × 2163046129
5855 × 23 × 29
5862 × 617 × 3513292457413
5873 × 199 × 26309 × 469379 × 937637
58822 × 82813
589269 × 947 × 1217 × 6263 × 36821
5902 × 3 × 5 × 53 × 149 × 1367 × 1459
5917 × 3631 × 1720503217
59224 × 523 × 1499 × 15239561 × 47692247 × 336221758193
59332 × 11 × 67
5942 × 17 × 71
5955 × 13 × 907
59622 × 3 × 223 × 293 × 268979 × 506963
597443 × 1749887 × 21992521 × 188979770587 × 10371901377557 (FS)
5982 × 7 × 8237 × 401393
5993 × 19 × 2346593531
60023 × 52 × 27437
601383 × 3436636013
6022 × 32 × 47 × 2887
603613 × 14461
60422 × 11 × 307 × 1047089
6053 × 5 × 7 × 101 × 27541 × 89563 × 536067013381 × 3455192828803
6062 × 77521 × 14876177
60789 × 10178423
60825 × 3 × 13 × 23 × 3880343 × 7513630205849
60920333 × 265423
6102 × 5 × 599 × 1955240351 × 186868209811
61133 × 17 × 163 × 2803
61222 × 7 × 371782447 × 594033827 × 189881590163
61351941 × 6823127 × 376476872003
6142 × 3 × 29 × 41 × 11699 × 941519
6155 × 112 × 312 × 409
61623 × 195242739691
6173 × 607
6182 × 19
6197 × 37 × 27779 × 2607647687
62022 × 32 × 5 × 482947 × 2712883
62113 × 43
6222 × 283
6233 × 44729 × 1518336089
62424 × 61 × 3559
62554 × 1097
6262 × 3 × 7 × 11 × 5273 × 155537
627179 × 811 × 73366229
62822 × 17 × 103 × 11807 × 87426751 × 552899569 × 6669515684617
62932 × 113 × 22153
6302 × 5 × 887 × 793591
63123 × 619 × 80331161 × 73554416687
63223 × 3 × 158269493 × 83129736359
63373 × 1049 × 711959 × 35796749
6342 × 13 × 367391
6353 × 5 × 4007933 × 3102200047 × 11231107861
63622 × 4391 × 4549 × 35291363
63711 × 19 × 59
6382 × 36 × 197 × 3536070484421
639No prime factors known!
64027 × 5 × 7 × 641
6413 × 173 × 338165963
6422
64329 × 53 × 479
64422 × 3 × 97 × 379
6455 × 17
6462 × 31 × 466441 × 454281397897
64732 × 7 × 13 × 653
64823 × 11 × 211 × 4513
64947
6502 × 3 × 52 × 6737365199687
6517023053
65222 × 21055583 × 1607826099721
6533 × 13262297 × 82031753 × 19197382199
6542 × 7 × 23 × 83
6555 × 41 × 347 × 74873 × 341667191 × 452492447443
65624 × 32 × 19 × 37 × 73 × 853 × 1361 × 73699 × 1418041567 × 632552194163
657168323 × 18693637
6582 × 13975609 × 26939243
6593 × 11 × 79 × 10799 × 197369 × 6466037 × 563715962941
66022 × 5 × 132 × 67 × 107 × 2281
6617 × 1579 × 4027
6622 × 3 × 17 × 509
66316387487 × 2850243079097
66423 × 43 × 193 × 727
66533 × 5 × 71
6662 × 27996184207
667229 × 1471 × 9157 × 47123
66822 × 3 × 7 × 127 × 19959677 × 234542953
66982601 × 206819 × 74074783
6702 × 5 × 11 × 20357 × 179807 × 551113 × 67844207 × 820726001
6713 × 4451 × 259733
67225 × 29
67313 × 7583
6742 × 32
67552 × 7 × 192 × 511963
67622 × 2982269644589
6773 × 232 × 31 × 3911 × 577620691031
6782 × 281 × 1759 × 3606413
67917 × 30059 × 323927
68023 × 3 × 5 × 4937 × 19873015207
68111 × 3547 × 3927062261
6822 × 72 × 1140303869 × 2114878666591
68332 × 109 × 85121
68422 × 137 × 32218763
6855 × 61 × 181
6862 × 3 × 13 × 1481
687252017 × 439273
68824
6893 × 7 × 7001 × 99852173 × 10582842401
6902 × 5
69111467 × 73243
69222 × 33 × 11 × 1093 × 26893 × 94951 × 264550911799
69337
6942 × 19 × 1949
6953 × 5 × 277 × 1091 × 774737353447
69623 × 7 × 17 × 41 × 47 × 53 × 59 × 89 × 157 × 673
69740847
6982 × 3 × 547 × 4493
69913 × 22613
70022 × 52 × 23 × 1163
70132 × 29 × 2428651639
7022 × 3779 × 26693 × 1183537
7037 × 11 × 494638154909
70426 × 3 × 4211 × 130043 × 1921481 × 107888513087
7055 × 353
7062 × 101 × 131 × 34757
7073 × 43
70822 × 31
70919571 × 1528859 × 3025027 × 5633027
7102 × 32 × 5 × 7 × 661 × 2371 × 611042522137
7111103
71223 × 13 × 191 × 359
7133 × 172 × 19 × 3812719 × 87068369
7142 × 11 × 195353
7155 × 832963 × 9105709 × 11437461691
71622 × 3 × 91163
7177 × 8053 × 11159 × 642113
7182 × 139 × 3041
71934 × 10070762899
72024 × 5 × 70549
721570013
7222 × 3
72323 × 151 × 3457 × 969497719
72422 × 7 × 70489 × 1388343112777
7253 × 52 × 11 × 13 × 349 × 3821
7262 × 2963 × 3472949
72767 × 997
72823 × 32 × 20107 × 59263 × 323341532869
72973 × 630193
7302 × 5 × 17 × 29 × 37 × 3197274763
7313 × 72 × 103 × 227 × 4561
73222 × 19 × 25471 × 668419793
733541 × 148621171
7342 × 3 × 46210715087
7355
73625 × 112 × 71 × 29225923 × 1003112989
73732 × 41 × 83 × 487 × 14567629
7382 × 7 × 13 × 79 × 1758719 × 317585501 × 1636684697 × 48563383229
73931 × 149 × 241 × 1368570938711
74022 × 3 × 5 × 16987 × 73523
74197 × 4259 × 6719 × 705217985573 × 844167839051
7422 × 113
7433 × 47 × 263 × 1979
74423 × 1567 × 2311 × 3037 × 14821 × 67125349
7455 × 7 × 712353683
7462 × 33 × 23 × 61 × 4438151 × 1136200277 × 822273482971
74711 × 17
74822 × 167 × 389 × 2147489
7493 × 53 × 739 × 1621 × 14023937
7502 × 53 × 43 × 751 × 2797 × 4105469
75113 × 19 × 29473
75224 × 3 × 7 × 251 × 3449 × 127160101
7532662286987693
7542 × 723617039
75532 × 5 × 59 × 239 × 11299
75622 × 2689 × 2197561 × 814167941 × 1509419816033
75714969 × 62761 × 28738837
7582 × 3 × 11 × 99792747539
7597 × 29 × 170347 × 493121 × 90715843
76023 × 5 × 7543181
7613 × 6269 × 138349
7622 × 467 × 2927257579 × 9706613509
7633191
76422 × 32 × 13 × 17 × 311 × 25919
7655 × 13331 × 81888170677
7662 × 7 × 701 × 1997587139 × 301738416601
7673 × 37 × 107 × 164149 × 7701288416839
76828 × 7759
76911 × 23 × 1188293
7702 × 3 × 5 × 19 × 31 × 257
77112811397 × 128135173 × 9056071393
77222 × 1074117731
77333 × 7
7742 × 163 × 677 × 31397
77552 × 236053 × 5152453 × 7811281
77623 × 3 × 4721024178691
77713 × 1033 × 7322891 × 191587672637
7782 × 41 × 11646862033
7793 × 18514753
78022 × 5 × 72 × 11 × 233 × 2699
78117 × 929 × 39769 × 115123 × 26737021 × 24086260403
7822 × 32 × 44563 × 4115223703
783No prime factors known!
78424 × 397 × 760225033
7853 × 5 × 89 × 433 × 92107
7862 × 199 × 1291
7877 × 21961129793
78822 × 3 × 29 × 2083
78919
7902 × 5 × 13 × 47 × 9917044909
79132 × 11 × 911 × 6707263 × 394753157 × 65514015647
79223 × 23 × 109 × 10589 × 128033
79343 × 22051
7942 × 3 × 7 × 67 × 1297 × 709933947101
7955 × 127 × 21089
79622 × 2987687975711
7973 × 733
7982 × 17 × 5021
799No prime factors known!
80025 × 34 × 52
8017 × 31 × 401 × 3103271 × 162013583
8022 × 11 × 53 × 73 × 2249557 × 19373927 × 151803605743
8033 × 13 × 463
80422 × 37 × 2221
8055 × 317257
8062 × 3 × 179
807612 × 71 × 101 × 431 × 13999
80823 × 7 × 19 × 3271
80932 × 421 × 4931
8102 × 5 × 10230089
81117489
81222 × 3 × 271 × 469769 × 15063959
81311
8142 × 59 × 173
8153 × 5 × 7 × 17 × 23 × 1611512561
81624 × 13
81729 × 79 × 709 × 216289 × 1693045483471 × 2184279173669
8182 × 32 × 1399 × 25868430281
81941 × 223 × 809 × 72883 × 13825038991
82022 × 5 × 83 × 313 × 129480719
8213 × 137 × 265222781
8222 × 7 × 882481 × 145818924007
8231301 × 2733709757
82423 × 3 × 11 × 62096074099
82552 × 60647 × 74612647
8262 × 93503
82733 × 19 × 2617 × 352619 × 3432365043259
82822 × 7325485043
82972 × 132 × 13753463
8302 × 3 × 5 × 450481 × 1645949050129
831101383 × 111163553
83226 × 17 × 31 × 12425155609 × 1124782005317
8333 × 577 × 823
8342 × 103 × 36307 × 59779
8355 × 11 × 197
83622 × 32 × 7 × 43
83747 × 131 × 4517
8382 × 23 × 97 × 1555919 × 1277922157471
8393 × 25741 × 587892482069
84023 × 5 × 108707 × 718813 × 2479769 × 5159346691
84137 × 144173 × 3065809
8422 × 3 × 13 × 22304011031
8437 × 631 × 9582788857
84422 × 174407
84532 × 5 × 14276541749
8462 × 11 × 19 × 29 × 382867
84747797 × 509287 × 785549
84824 × 3
84917 × 116341 × 2967691
8502 × 52 × 7 × 176205899 × 47763461281
8513 × 505663 × 28099913
85222
853157 × 18659959
8542 × 33 × 2063 × 18585389
8555 × 13 × 53 × 113 × 1747 × 306455587 × 17596138831
85623 × 162473 × 3822909209029
8573 × 7 × 112 × 139 × 193
8582 × 269 × 569 × 3480437 × 219416839
859211 × 1167653 × 49463471 × 473455666841 × 912718150901
86022 × 3 × 5 × 41 × 4906147
86123 × 67
8622 × 36442012043 × 1295010451597
86332 × 31 × 4240151
86425 × 7 × 31997243 × 474343399
8655 × 19 × 2833 × 10223 × 183273989
8662 × 3 × 17 × 181 × 26731
86719489
86822 × 11 × 13 × 61 × 439 × 1063 × 4881763
8693 × 787
8702 × 5 × 317 × 7351969 × 168921587179
8717 × 50723 × 24855949
87223 × 32 × 571 × 4179949 × 4047533377
87359 × 3851
8742 × 89 × 107 × 151 × 1741
8753 × 53 × 29 × 73 × 47639 × 119174347
87622
877No prime factors known!
8782 × 3 × 72 × 37 × 71 × 1169131 × 27577387
87911 × 43 × 5077
88024 × 5
88135 × 13
8822 × 5081 × 470631569 × 618434426227 × 775575483161 × 5435948529457
88317 × 19181
88422 × 3 × 19 × 23 × 47 × 609277
8855 × 7
8862 × 3613 × 222073 × 871103
8873 × 877 × 494353 × 2731621
88823 × 149 × 9421 × 29017 × 3118673 × 17787765239
889293 × 461 × 36915001
8902 × 32 × 5 × 11
891No prime factors known!
89222 × 7 × 2749 × 16868726389
8933 × 6571 × 4921664065783
8942 × 13 × 31 × 270229
8955 × 70949 × 62397720377
89627 × 3 × 79 × 229
897449
8982 × 9433 × 1487110727
89932 × 7 × 373 × 37520213
90022 × 52 × 17 × 1249 × 3202337 × 10506958741 × 268891135913
90111 × 41 × 109 × 1718407 × 321805075981
9022 × 3
90319 × 83 × 191
90423 × 29 × 1901 × 15220747 × 862337648831 × 1154587279493
9053 × 5 × 283
9062 × 7 × 14107 × 149861 × 3325963
90713 × 23 × 337 × 95991937
90822 × 33 × 53 × 101 × 43613
909348769 × 35131769 × 1356096011 × 69066530831
9102 × 5 × 2017 × 4019 × 111253 × 422867 × 345360413 × 2742394969
9113 × 307 × 239977 × 705208571
91224 × 11 × 1637
9137 × 331 × 1699 × 26723
9142 × 3 × 214759 × 4473089
9155 × 37 × 167 × 17231 × 6779744437
91622 × 419
91732 × 17
9182 × 499 × 48437
919104729 × 19670297
92023 × 3 × 5 × 7 × 13 × 84808510177
9212099 × 187055507
9222 × 19 × 432 × 127 × 172462471
9233 × 11 × 1031 × 16827353527
92422 × 524331251
92552 × 31
9262 × 32 × 15061 × 155858203
92772
92825 × 67
9293 × 61 × 795170353 × 2404009697 × 6109965803 × 158337493739
9302 × 5 × 23 × 863 × 1019 × 38377 × 41399 × 37872217 × 192365414957 × 244579290653
93147 × 3581
93222 × 3 × 592 × 2089 × 2182477742551
93313 × 29 × 3389 × 190137637 × 715298495059
9342 × 7 × 11 × 17 × 1573996517
93533 × 5 × 97
93623 × 107999
937103 × 163 × 1806546251
9382 × 3 × 563
939367 × 491 × 2927
94022 × 5
9413 × 7 × 19 × 20483
9422 × 41
9437297 × 58444109
94424 × 32 × 587539 × 583337771
9455 × 11 × 8760281 × 1832075449
9462 × 13 × 12433
9473 × 67660709
94822 × 7 × 73 × 70857116039
94971
9502 × 3 × 52 × 16453
95117 × 77269 × 841103
95223 × 37 × 187009 × 32460121 × 537033377
95332 × 23 × 33721
9542
9555 × 7 × 150869
95622 × 3 × 11 × 31 × 2659 × 11233093 × 1389410189
957470903
9582 × 137 × 227 × 270287 × 656805177191
9593 × 13 × 281 × 62617 × 18646189
96026 × 5 × 19 × 54983
96153 × 22817 × 10707413
9622 × 34 × 7 × 29
96389 × 20149 × 11652438887
96422
9653 × 5 × 43 × 3493781 × 15493947533
9662
96711 × 735043 × 517829814907
96823 × 3 × 17 × 113 × 131
9697 × 1609 × 338309 × 7714061 × 499765333
9702 × 5 × 171918883
97132
97222 × 13 × 277 × 34264369 × 259886773
973117928091 × 149436839777 × 898645733231
9742 × 3
97552 × 792
97624 × 73 × 23 × 8355931
9773 × 26882957
9782 × 112 × 47 × 457 × 1087
97919 × 4327 × 80147651
98022 × 32 × 5 × 241 × 54403 × 6715387061
981107 × 4352611
9822 × 6829 × 9173
9833 × 7 × 41 × 1861 × 149059549
98423 × 383 × 6011 × 3819454813
9855 × 13 × 17 × 179 × 199 × 6101 × 4695624079
9862 × 3 × 83 × 56957 × 1233619 × 26433571
98731 × 173
98822 × 3109
98933 × 11 × 37
9902 × 5 × 7 × 61 × 13901
99129 × 59
99225 × 3 × 1987 × 180413
9939403 × 2200489
9942 × 239 × 6654171857
9953 × 5 × 67 × 56104501 × 1836222331
99622 × 139 × 102877 × 561726031
9977 × 1517317 × 36383377 × 10712490667
9982 × 32 × 132 × 19 × 1439 × 21187 × 9791739691
99923 × 10559 × 4803217

Number of prime factors

Digitsgoogolduplex + 10Other numbers
131899
25650
38377
415277
533210
679204
7141143
8342158
9709110
101384112
11285699
12546299
131072793

Number of factors known up to different powers of 10

Factors1011021031041051061071081091010101110121013
02301178369483127242121201917
1266227179145130125107857771656260
2206217222209208195190185173155152143132
3133172185194187185185196204212201194194
480109124143159155158154150149154159156
538809998108123136130129132134137141
622375468789186101114120127127133
711151730313948565445455253
89131821232529313850524952
91768131315182022232830
1002665898810131415
112246333434245
120011433343544
130000111223322
140000010000021
150000001111212
160000000000010
170000000000000
180000000000001

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:

GOOGOLP starting_number

This version supports numbers up to 16 × 1014.

The output file is named bbbb. 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 googolduplex - 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.