138307718075904
138,307,718,075,904 is an even composite number composed of seven prime numbers multiplied together.
138307718075904 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138307718075904:
29 × 32 × 13 × 17 × 59 × 1229 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 59 × 1229 × 1873)See below for interesting mathematical facts about the number 138307718075904 from the Numbermatics database.
Names of 138307718075904
- Cardinal: 138307718075904 can be written as One hundred thirty-eight trillion, three hundred seven billion, seven hundred eighteen million, seventy-five thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.38307718075904 × 1014
Factors of 138307718075904
Divisors of 138307718075904
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 59 64 68 72 78 96 102 104 117 118 128 136 144 153 156 177 192 204 208 221 234 236 256 272 288 306 312 354 384 408 416 442 468 472 512 531 544 576 612 624 663 708 767 768 816 832 884 936 944 1003 1062 1088 1152 1224 1229 1248 1326 1416 1534 1536 1632 1664 1768 1872 1873 1888 1989 2006 2124 2176 2301 2304 2448 2458 2496 2652 2832 3009 3068 3264 3328 3536 3687 3744 3746 3776 3978 4012 4248 4352 4602 4608 4896 4916 4992 5304 5619 5664 6018 6136 6528 6656 6903 7072 7374 7488 7492 7552 7956 8024 8496 8704 9027 9204 9792 9832 9984 10608 11061 11238 11328 12036 12272 13039 13056 13806 14144 14748 14976 14984 15104 15912 15977 16048 16857 16992 18054 18408 19584 19664 19968 20893 21216 22122 22476 22656 24072 24349 24544 26078 26112 27612 28288 29496 29952 29968 30208 31824 31841 31954 32096 33714 33984 36108 36816 39117 39168 39328 41786 42432 44244 44952 45312 47931 48144 48698 49088 52156 55224 56576 58992 59904 59936 62679 63648 63682 63908 64192 67428 67968 72216 72511 73047 73632 78234 78336 78656 83572 84864 88488 89904 90624 95523 95862 96288 97396 98176 104312 110448 110507 113152 117351 117984 119872 125358 127296 127364 127816 128384 134856 135936 143793 144432 145022 146094 147264 156468 157312 167144 169728 176976 179808 188037 191046 191724 192576 194792 196352 208624 217533 219141 220896 221014 234702 235968 239744 250716 254592 254728 255632 256768 269712 271609 271872 286569 287586 288864 290044 292188 294528 312936 314624 331521 334288 339456 353952 359616 376074 382092 383448 385152 389584 392704 413933 417248 435066 438282 441792 442028 469404 471936 479488 501432 509184 509456 511264 513536 539424 543218 573138 575172 577728 580088 584376 589056 625872 629248 652599 663042 668576 707904 719232 752148 764184 766896 770304 779168 814827 827866 834496 870132 876564 883584 884056 938808 942643 943872 958976 994563 1002864 1018368 1018912 1022528 1078848 1086436 1146276 1150344 1155456 1160176 1168752 1178112 1232687 1241799 1251744 1305198 1326084 1337152 1415808 1436591 1438464 1504296 1528368 1533792 1540608 1558336 1629654 1655732 1668992 1740264 1753128 1767168 1768112 1877616 1878619 1885286 1887744 1989126 2005728 2037824 2045056 2157696 2172872 2292552 2300688 2301917 2310912 2320352 2337504 2444481 2465374 2483598 2503488 2610396 2652168 2674304 2827929 2831616 2873182 2876928 3008592 3056736 3067584 3116672 3259308 3311464 3337984 3480528 3506256 3534336 3536224 3698061 3725397 3755232 3757238 3770572 3978252 4011456 4075648 4090112 4309773 4315392 4345744 4585104 4601376 4603834 4621824 4640704 4675008 4888962 4930748 4967196 5006976 5220792 5304336 5348608 5635857 5655858 5663232 5746364 6017184 6113472 6135168 6233344 6518616 6622928 6675968 6905751 6961056 7012512 7072448 7396122 7450794 7510464 7514476 7541144 7956504 8022912 8151296 8180224 8483787 8619546 8630784 8691488 9170208 9202752 9207668 9281408 9350016 9777924 9861496 9934392 10013952 10441584 10608672 10697216 11094183 11271714 11311716 11492728 12034368 12226944 12270336 12466688 12929319 13037232 13245856 13811502 13922112 14025024 14144896 14792244 14901588 15020928 15028952 15082288 15913008 16024931 16045824 16302592 16907571 16967574 17239092 17382976 18340416 18405504 18415336 18562816 18700032 19555848 19722992 19868784 20027904 20717253 20883168 21217344 22188366 22543428 22623432 22985456 24068736 24422047 24453888 24540672 25858638 26074464 26491712 27623004 27844224 28050048 28289792 29584488 29803176 29924921 30041856 30057904 30164576 31826016 32049862 32091648 33815142 33935148 34478184 34765952 36680832 36811008 36830672 37125632 37400064 39111696 39132589 39445984 39737568 41434506 41766336 42434688 44376732 45086856 45246864 45970912 48074793 48137472 48844094 48907776 51717276 52148928 52983424 55246008 55688448 56100096 56579584 59168976 59606352 59849842 60083712 60115808 60329152 63652032 64099724 67630284 67870296 68956368 69531904 73266141 73361664 73622016 73661344 78223392 78265178 78891968 79475136 82869012 83532672 84869376 88753464 89774763 90173712 90493728 91941824 96149586 96274944 97688188 103434552 104297856 105966848 110492016 111376896 112200192 117397767 118337952 119212704 119699684 120231616 120658304 127304064 128199448 135260568 135740592 135813103 137912736 139063808 144224379 146532282 146723328 147322688 156446784 156530356 157783936 158950272 165738024 167065344 169738752 177506928 179549526 180347424 180987456 183883648 192299172 195376376 206869104 208595712 211933696 219798423 220984032 234795534 236675904 238425408 239399368 240463232 241316608 254608128 256398896 269324289 270521136 271481184 271626206 275825472 288448758 293064564 294645376 312893568 313060712 315567872 317900544 331476048 334130688 352193301 355013856 359099052 360694848 361974912 367767296 384598344 390752752 407439309 413738208 417191424 439596846 441968064 469591068 473351808 476850816 478798736 480926464 482633216 508723657 509216256 512797792 538648578 541042272 542962368 543252412 551650944 576897516 586129128 589290752 625787136 626121424 631135744 635801088 662952096 704386602 710027712 718198104 721389696 723949824 735534592 769196688 781505504 814878618 827476416 879193692 883936128 939182136 946703616 953701632 957597472 961852928 1017447314 1025595584 1077297156 1082084544 1085924736 1086504824 1103301888 1153795032 1172258256 1178581504 1222317927 1251574272 1252242848 1325904192 1408773204 1420055424 1436396208 1442779392 1447899648 1526170971 1538393376 1563011008 1629757236 1654952832 1758387384 1765570339 1767872256 1878364272 1893407232 1907403264 1915194944 2034894628 2051191168 2154594312 2164169088 2171849472 2173009648 2206603776 2307590064 2308822751 2344516512 2444635854 2504485696 2651808384 2817546408 2840110848 2872792416 2885558784 3052341942 3076786752 3126022016 3259514472 3309905664 3516774768 3531140678 3535744512 3756728544 3830389888 4069789256 4102382336 4309188624 4328338176 4343698944 4346019296 4578512913 4615180128 4617645502 4689033024 4889271708 5008971392 5296711017 5303616768 5635092816 5680221696 5745584832 6104683884 6153573504 6252044032 6519028944 6619811328 6926468253 7033549536 7062281356 7513457088 7660779776 8139578512 8204764672 8618377248 8656676352 8692038592 9157025826 9230360256 9235291004 9378066048 9778543416 10017942784 10593422034 10607233536 11270185632 11491169664 12209367768 12307147008 12504088064 13038057888 13852936506 14067099072 14124562712 15026914176 15321559552 15890133051 16279157024 17236754496 17384077184 18314051652 18460720512 18470582008 18756132096 19557086832 20035885568 20779404759 21186844068 22540371264 22982339328 24418735536 24614294016 26076115776 27705873012 28134198144 28249125424 30014695763 30053828352 31780266102 32558314048 34473508992 34768154368 36628103304 36921441024 36941164016 37512264192 39114173664 41558809518 42373688136 45080742528 45964678656 48837471072 52152231552 55411746024 56268396288 56498250848 60029391526 60107656704 63560532204 65116628096 68947017984 69536308736 73256206608 73842882048 73882328032 78228347328 83117619036 84747376272 90044087289 90161485056 97674942144 104304463104 110823492048 112536792576 112996501696 120058783052 127121064408 130233256192 137894035968 146512413216 147764656064 156456694656 166235238072 169494752544 180088174578 180322970112 195349884288 208608926208 221646984096 225993003392 240117566104 254242128816 260466512384 270132261867 293024826432 295529312128 312913389312 332470476144 338989505088 360176349156 390699768576 443293968192 451986006784 480235132208 508484257632 540264523734 586049652864 591058624256 625826778624 664940952288 677979010176 720352698312 781399537152 886587936384 903972013568 960470264416 1016968515264 1080529047468 1172099305728 1182117248512 1329881904576 1355958020352 1440705396624 1773175872768 1920940528832 2033937030528 2161058094936 2344198611456 2659763809152 2711916040704 2881410793248 3546351745536 3841881057664 4067874061056 4322116189872 5319527618304 5762821586496 7683762115328 8135748122112 8644232379744 10639055236608 11525643172992 15367524230656 17288464759488 23051286345984 34576929518976 46102572691968 69153859037952 138307718075904
- Sum of all divisors σ(n): 463495450017600
- Sum of proper divisors (its aliquot sum) s(n): 325187731941696
- 138307718075904 is an abundant number, because the sum of its proper divisors (325187731941696) is greater than itself. Its abundance is 186880013865792
Bases of 138307718075904
- Binary: 111110111001010010001100110011111010110000000002
- Hexadecimal: 0x7DCA4667D600
- Base-36: 1D0XOSCCG0
Squares and roots of 138307718075904
- 138307718075904 squared (1383077180759042) is 19129024879363742059905417216
- 138307718075904 cubed (1383077180759043) is 2645691780081993960689363028297933876363264
-
The
square root of 138307718075904 is 11760430.1824339743 -
The
cube root of 138307718075904 is 51714.8741322835
Scales and comparisons
How big is 138307718075904?- 138,307,718,075,904 seconds is equal to 4,397,757 years, 32 weeks, 2 days, 38 minutes, 24 seconds.
-
To count from 1 to 138,307,718,075,904 would take you about ten million, nine hundred ninety-four thousand, three hundred ninety-four 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 138307718075904 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138307718075904
- 138307718075904 backwards is 409570817703831
- The number of decimal digits it has is: 15
- The sum of 138307718075904's digits is 63
- More coming soon!
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The information we have on file for 138307718075904 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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