100689386992128

Names of 100689386992128

• Cardinal: 100689386992128 can be written as One hundred trillion, six hundred eighty-nine billion, three hundred eighty-six million, nine hundred ninety-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.00689386992128 × 10¹⁴

Factors of 100689386992128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 112

Divisors of 100689386992128

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 79 88 96 99 102 108 128 132 136 144 153 158 176 187 192 198 204 216 237 256 264 272 288 297 306 316 352 374 384 396 408 432 459 474 512 528 544 561 576 594 612 632 704 711 748 768 792 816 864 869 918 948 1056 1088 1122 1152 1188 1224 1264 1343 1408 1422 1496 1536 1584 1632 1683 1728 1738 1836 1896 2112 2133 2176 2244 2304 2376 2448 2528 2607 2686 2816 2844 2992 3168 3264 3366 3456 3476 3672 3792 4029 4224 4266 4352 4488 4608 4752 4896 5049 5056 5214 5372 5632 5688 5984 6241 6336 6528 6732 6912 6952 7344 7584 7821 8058 8448 8532 8704 8976 9504 9792 10098 10112 10428 10744 11376 11968 12087 12482 12672 13056 13464 13824 13904 14688 14773 15168 15642 16116 16896 17064 17952 18723 19008 19584 20196 20224 20856 21488 22752 23463 23936 24174 24964 25344 26112 26928 27808 29376 29546 30336 31284 32232 34128 35904 36261 37446 38016 39168 40392 40448 41712 42976 44319 45504 46926 47872 48348 49928 50688 53856 55616 56169 58752 59092 60672 62568 64464 68256 68651 71808 72522 74892 76032 78336 80784 83424 85952 88638 91008 93852 95744 96696 99856 106097 107712 111232 112338 117504 118184 121344 125136 128928 132957 136512 137302 143616 145044 149784 152064 161568 166848 168507 171904 177276 182016 187704 193392 199712 205953 212194 215424 222464 224676 235008 236368 250272 257856 265914 273024 274604 287232 290088 299568 318291 323136 333696 337014 343808 354552 364032 375408 386784 398871 399424 411906 424388 430848 444928 449352 472736 493039 500544 515712 531828 546048 549208 580176 599136 617859 636582 646272 667392 674028 687616 709104 750816 773568 797742 798848 823812 848776 861696 898704 945472 954873 986078 1001088 1031424 1063656 1092096 1098416 1160352 1167067 1198272 1235718 1273164 1292544 1334784 1348056 1418208 1479117 1501632 1547136 1595484 1597696 1647624 1697552 1797408 1853577 1890944 1909746 1972156 2002176 2062848 2127312 2196832 2320704 2334134 2396544 2471436 2546328 2585088 2696112 2836416 2864619 2958234 3003264 3094272 3190968 3195392 3295248 3395104 3501201 3594816 3707154 3781888 3819492 3944312 4004352 4254624 4393664 4437351 4641408 4668268 4793088 4942872 5092656 5392224 5423429 5672832 5729238 5916468 6006528 6188544 6381936 6590496 6790208 7002402 7189632 7414308 7563776 7638984 7888624 8381663 8509248 8787328 8874702 9282816 9336536 9586176 9885744 10185312 10503603 10784448 10846858 11345664 11458476 11832936 12013056 12763872 13180992 13312053 13580416 14004804 14379264 14828616 15277968 15777248 16270287 16763326 17018496 17574656 17749404 18565632 18673072 19771488 20370624 21007206 21568896 21693716 22691328 22916952 23665872 25144989 25527744 26361984 26624106 27160832 28009608 28758528 29657232 30555936 31510809 31554496 32540574 33526652 34036992 35149312 35498808 37346144 38950081 39542976 40741248 42014412 43137792 43387432 45833904 47331744 48810861 50289978 51055488 52723968 53248212 54321664 56019216 59314464 61111872 63021618 63108992 65081148 67053304 68073984 70997616 74692288 75434967 77900162 79085952 81482496 84028824 86275584 86774864 91667808 92198293 94663488 97621722 100579956 102110976 105447936 106496424 112038432 116850243 118628928 122223744 126043236 126217984 130162296 134106608 141995232 146432583 149384576 150869934 155800324 158171904 162964992 168057648 173549728 183335616 184396586 189326976 195243444 201159912 204221952 212992848 224076864 226304901 233700486 237257856 244447488 252086472 252435968 260324592 268213216 276594879 283990464 292865166 298769152 301739868 311600648 316343808 336115296 347099456 350550729 366671232 368793172 378653952 390486888 402319824 425985696 428450891 448153728 452609802 467400972 474515712 488894976 504172944 520649184 536426432 553189758 567980928 585730332 597538304 603479736 623201296 662151377 672230592 694198912 701101458 733342464 737586344 757307904 780973776 804639648 829784637 851971392 856901782 896307456 905219604 934801944 949031424 1008345888 1041298368 1051652187 1072852864 1106379516 1135961856 1171460664 1206959472 1246402592 1285352673 1324302754 1344461184 1388397824 1402202916 1466684928 1475172688 1561947552 1609279296 1659569274 1703942784 1713803564 1792614912 1810439208 1869603888 1986454131 2016691776 2082596736 2103304374 2145705728 2212759032 2271923712 2342921328 2413918944 2489353911 2492805184 2570705346 2648605508 2688922368 2776795648 2804405832 2950345376 3123895104 3218558592 3319138548 3407885568 3427607128 3620878416 3739207776 3856058019 3972908262 4033383552 4165193472 4206608748 4291411456 4425518064 4685842656 4827837888 4978707822 4985610368 5141410692 5297211016 5377844736 5608811664 5900690752 5959362393 6247790208 6437117184 6638277096 6815771136 6855214256 7241756832 7283665147 7478415552 7712116038 7945816524 8066767104 8330386944 8413217496 8851036128 9371685312 9655675776 9957415644 9971220736 10282821384 10594422032 11217623328 11568174057 11801381504 11918724786 12495580416 12874234368 13276554192 13710428512 14483513664 14567330294 14956831104 15424232076 15891633048 16133534208 16826434992 17702072256 17878087179 18743370624 19311351552 19914831288 19942441472 20565642768 21188844064 21850995441 22435246656 23136348114 23602763008 23837449572 24991160832 26553108384 27420857024 28967027328 29134660588 29913662208 30848464152 31783266096 33652869984 35404144512 35756174358 37486741248 38622703104 39829662576 41131285536 42377688128 43701990882 44870493312 46272696228 47205526016 47674899144 53106216768 54841714048 57934054656 58269321176 59827324416 61696928304 63566532192 65552986323 67305739968 70808289024 71512348716 74973482496 79659325152 82262571072 84755376256 87403981764 89740986624 92545392456 95349798288 106212433536 109683428096 115868109312 116538642352 123393856608 127133064384 131105972646 134611479936 141616578048 143024697432 159318650304 164525142144 169510752512 174807963528 179481973248 185090784912 190699596576 196658958969 212424867072 219366856192 233077284704 246787713216 254266128768 262211945292 269222959872 286049394864 318637300608 329050284288 339021505024 349615927056 370181569824 381399193152 393317917938 424849734144 466154569408 493575426432 508532257536 524423890584 538445919744 572098789728 637274601216 658100568576 699231854112 740363139648 762798386304 786635835876 932309138816 987150852864 1017064515072 1048847781168 1144197579456 1274549202432 1398463708224 1480726279296 1525596772608 1573271671752 1864618277632 1974301705728 2097695562336 2288395158912 2796927416448 2961452558592 3051193545216 3146543343504 3729236555264 4195391124672 4576790317824 5593854832896 5922905117184 6293086687008 8390782249344 9153580635648 11187709665792 12586173374016 16781564498688 25172346748032 33563128997376 50344693496064 100689386992128
• Sum of all divisors σ(n): 348682563155520
• Sum of proper divisors (its aliquot sum) s(n): 247993176163392
• 100689386992128 is an abundant number, because the sum of its proper divisors (247993176163392) is greater than itself. Its abundance is 147303789171264

Bases of 100689386992128

• Binary: 10110111001001110010011001001001111001000000000₂
• Hexadecimal: 0x5B939324F200
• Base-36: ZOW2DAIO0

Squares and roots of 100689386992128

• 100689386992128 squared (100689386992128²) is 10138352652850515291133968384
• 100689386992128 cubed (100689386992128³) is 1020824513725533075215166555090534008881152
• The square root of 100689386992128 is 10034410.1466966159
• The cube root of 100689386992128 is 46522.3058654299

Scales and comparisons

• 100,689,386,992,128 seconds is equal to 3,201,611 years, 2 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 100,689,386,992,128 would take you about eight million, four thousand and twenty-seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 100689386992128 cubic inches would be around 3876.9 feet tall.

Recreational maths with 100689386992128

• 100689386992128 backwards is 821299683986001
• 100689386992128 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 100689386992128's digits is 72
• More coming soon!