138993903677952
138,993,903,677,952 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138993903677952 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138993903677952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138993903677952:
29 × 32 × 17 × 312 × 37 × 139 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 31 × 31 × 37 × 139 × 359)See below for interesting mathematical facts about the number 138993903677952 from the Numbermatics database.
Names of 138993903677952
- Cardinal: 138993903677952 can be written as One hundred thirty-eight trillion, nine hundred ninety-three billion, nine hundred three million, six hundred seventy-seven thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.38993903677952 × 1014
Factors of 138993903677952
Divisors of 138993903677952
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 37 48 51 62 64 68 72 74 93 96 102 111 124 128 136 139 144 148 153 186 192 204 222 248 256 272 278 279 288 296 306 333 359 372 384 408 417 444 496 512 527 544 556 558 576 592 612 629 666 718 744 768 816 834 888 961 992 1054 1077 1088 1112 1116 1147 1152 1184 1224 1251 1258 1332 1436 1488 1536 1581 1632 1668 1776 1887 1922 1984 2108 2154 2176 2224 2232 2294 2304 2363 2368 2448 2502 2516 2664 2872 2883 2976 3162 3231 3264 3336 3441 3552 3774 3844 3968 4216 4308 4309 4352 4448 4464 4588 4608 4726 4736 4743 4896 5004 5032 5143 5328 5661 5744 5766 5952 6103 6324 6462 6528 6672 6882 7089 7104 7548 7688 7936 8432 8616 8618 8649 8704 8896 8928 9176 9452 9472 9486 9792 10008 10064 10286 10323 10656 11129 11322 11488 11532 11904 12206 12648 12924 12927 13056 13283 13344 13764 14178 14208 15096 15376 15429 15872 16337 16864 17232 17236 17298 17792 17856 18309 18352 18904 18944 18972 19499 19584 20016 20128 20572 20646 21267 21312 22258 22644 22976 23064 23808 24412 25296 25848 25854 26112 26566 26688 27528 28356 28416 30192 30752 30858 32674 33387 33728 34464 34472 34596 35557 35584 35712 36618 36704 37808 37944 38781 38998 39168 39849 40032 40256 41144 41292 42534 42624 44516 45288 45952 46128 46287 47616 48824 49011 49901 50592 51696 51708 53132 53376 54927 55056 56712 56832 58497 60384 61504 61716 65348 66774 67456 68928 68944 69192 71114 71168 71424 73236 73253 73408 75616 75888 77562 77996 78336 79698 80064 80512 82288 82584 85068 85248 87431 89032 90576 91904 92256 92574 97648 98022 99802 100161 101184 103392 103416 106264 106671 106752 109854 110112 113424 116994 119547 120768 123008 123432 130696 133548 133579 134912 137856 137888 138384 142228 142848 146472 146506 146816 147033 149703 151232 151776 155124 155992 159396 159433 160128 161024 164576 165168 170136 170496 174862 175491 178064 181152 183808 184512 185148 189193 195296 196044 199604 200322 202368 206784 206832 212528 213342 213504 219708 219759 220224 225811 226848 233988 239094 241536 246016 246864 261392 262293 267096 267158 269824 275712 275776 276768 284456 292944 293012 293632 294066 299406 302464 303552 310248 311984 318792 318866 320013 320256 322048 329152 330336 340272 344999 349724 350982 356128 362304 369024 370296 378386 390592 392088 399208 400644 400737 404736 411773 413568 413664 425056 426684 439416 439518 440448 449109 451622 453696 467976 478188 478299 483072 492032 493728 522784 524586 534192 534316 551424 551552 553536 567579 568912 585888 586024 587264 588132 598812 604469 604928 607104 620496 623968 637584 637732 640026 640512 658304 659277 660672 677433 680544 689998 699448 701964 712256 724608 738048 740592 756772 781184 784176 786879 798416 801288 801474 809472 823546 827136 827328 848317 850112 853368 878832 879036 880896 898218 903244 907392 935952 956376 956598 966144 987456 1034997 1045568 1049172 1068384 1068632 1103104 1107072 1135158 1137824 1171776 1172048 1176264 1197624 1202211 1208938 1209856 1214208 1235319 1240992 1247936 1275168 1275464 1280052 1316608 1318554 1321344 1354866 1361088 1379996 1398896 1403928 1424512 1434897 1449216 1476096 1481184 1513544 1546931 1562368 1568352 1573758 1596832 1602576 1602948 1647092 1654272 1654656 1696634 1700224 1702737 1706736 1757664 1758072 1761792 1796436 1806488 1813407 1814784 1846337 1871904 1912752 1913196 1974912 2032299 2069994 2091136 2098344 2136768 2137264 2206208 2214144 2270316 2270843 2275648 2343552 2344096 2352528 2395248 2404422 2417876 2428416 2470638 2481984 2495872 2544951 2550336 2550928 2560104 2633216 2637108 2642688 2709732 2710361 2722176 2759992 2797792 2807856 2849024 2869794 2898432 2962368 3027088 3093862 3104991 3124736 3136704 3147516 3193664 3205152 3205896 3294184 3309312 3393268 3400448 3405474 3413472 3515328 3516144 3592872 3612976 3626814 3629568 3692674 3705957 3743808 3825504 3826392 3949824 4064598 4139988 4182272 4196688 4273536 4274528 4428288 4540632 4541686 4551296 4640793 4687104 4688192 4705056 4790496 4808844 4835752 4941276 4942423 4963968 4991744 5089902 5100672 5101856 5120208 5274216 5285376 5419464 5420722 5440221 5444352 5519984 5539011 5595584 5615712 5698048 5739588 5864983 5924736 6054176 6187724 6209982 6273408 6295032 6387328 6410304 6411792 6588368 6618624 6786536 6800896 6810948 6812529 6826944 7000141 7030656 7032288 7185744 7225952 7253628 7385348 7411914 7487616 7634853 7651008 7652784 7899648 8129196 8131083 8279976 8364544 8393376 8547072 8549056 9081264 9083372 9102592 9281586 9374208 9376384 9410112 9580992 9617688 9671504 9882552 9884846 9927936 9983488 10179804 10201344 10203712 10240416 10548432 10838928 10841444 10880442 10888704 11039968 11078022 11191168 11231424 11479176 11729966 11849472 12108352 12375448 12419964 12546816 12590064 12764963 12774656 12820608 12823584 13176736 13573072 13621896 13625058 13653888 13922379 14000282 14061312 14064576 14371488 14451904 14507256 14770696 14823828 14827269 14975232 15269706 15302016 15305568 16258392 16262166 16559952 16617033 16786752 17094144 17098112 17594949 18162528 18166744 18205184 18563172 18752768 18820224 19161984 19235376 19343008 19765104 19769692 19855872 20359608 20402688 20407424 20437587 20480832 21000423 21096864 21677856 21682888 21760884 22079936 22156044 22382336 22462848 22958352 23459932 23698944 24216704 24393249 24750896 24839928 25093632 25180128 25529926 25549312 25641216 25647168 26297827 26353472 27146144 27243792 27250116 27307776 27844758 28000564 28122624 28129152 28742976 28903808 29014512 29541392 29647656 29654538 29950464 30539412 30604032 30611136 31387729 32516784 32524332 33119904 33234066 33573504 34196224 35189898 36325056 36333488 37126344 37505536 37640448 38294889 38323968 38470752 38686016 39530208 39539384 40719216 40814848 40875174 40961664 42000846 42193728 43355712 43365776 43521768 44159872 44312088 44481807 44764672 44925696 45916704 46919864 47954861 48433408 48786498 49501792 49679856 50360256 51059852 51282432 51294336 52595654 52706944 52784847 54292288 54487584 54500232 54615552 55689516 56001128 56258304 57236447 57485952 57807616 58029024 59082784 59295312 59309076 61078824 61208064 61222272 62775458 63001269 65033568 65048664 66239808 66468132 67147008 68392448 70379796 72650112 72666976 74252688 75280896 76589778 76647936 76941504 77372032 78893481 79060416 79078768 81438432 81629696 81750348 81923328 84001692 84021191 84387456 86711424 86731552 87043536 88319744 88624176 88963614 89851392 91833408 93839728 94163187 95909722 96866816 97572996 99003584 99359712 100720512 102119704 102588672 105191308 105413888 105569694 108584576 108975168 109000464 111379032 112002256 112516608 114472894 114884667 114971904 115615232 116058048 118165568 118590624 118618152 122157648 122444544 125550916 126002538 130067136 130097328 132479616 132936264 134294016 140759592 143864583 145300224 145333952 148505376 153179556 153883008 154744064 157786962 158120832 158157536 162876864 163500696 163846656 168003384 168042382 168774912 171709341 173422848 173463104 174087072 176639488 177248352 177927228 183666816 187679456 188326374 191819444 195145992 198007168 198719424 201441024 204239408 205177344 210382616 210827776 211139388 217004371 217169152 217950336 218000928 222758064 224004512 228945788 229769334 229943808 232116096 236331136 236680443 237181248 237236304 244315296 244889088 251101832 252005076 252063573 260134272 260194656 264959232 265872528 281519184 282489561 287729166 290600448 290667904 297010752 306359112 307766016 309488128 315573924 316241664 316315072 325753728 327001392 336006768 336084764 337549824 343418682 346845696 346926208 348174144 354496704 355854456 367333632 375358912 376652748 383638888 390291984 396014336 397438848 402882048 408478816 420765232 422278776 431593749 434008742 434338304 435900672 436001856 445516128 448009024 457891576 459538668 464232192 472662272 473360886 474362496 474472608 488630592 502203664 504010152 504127146 515128023 520268544 520389312 529918464 531745056 563038368 564979122 575458332 581335808 594021504 612718224 615532032 631147848 632483328 632630144 651013113 651507456 654002784 672013536 672169528 686837364 693852416 696348288 708993408 711708912 734667264 750717824 753305496 756190719 767277776 780583968 792028672 794877696 815232637 816957632 841530464 844557552 863187498 868017484 871801344 872003712 891032256 896018048 915783152 919077336 928464384 945324544 946721772 948724992 948945216 973019599 977261184 1004407328 1008020304 1008254292 1030256046 1040537088 1040778624 1063490112 1126076736 1129958244 1150916664 1162671616 1188043008 1225436448 1262295696 1265260288 1302026226 1303014912 1308005568 1344027072 1344339056 1373674728 1387704832 1392696576 1417986816 1423417824 1501435648 1506610992 1512381438 1534555552 1561167936 1589755392 1630465274 1633915264 1683060928 1689115104 1726374996 1736034968 1744007424 1774329857 1782064512 1792036096 1831566304 1838154672 1893443544 1897449984 1897890432 1946039198 1953039339 1954522368 2008814656 2016040608 2016508584 2060512092 2081557248 2126980224 2252153472 2259916488 2301833328 2376086016 2445697911 2450872896 2524591392 2530520576 2604052452 2616011136 2688054144 2688678112 2747349456 2785393152 2835973632 2846835648 2919058797 3002871296 3013221984 3024762876 3069111104 3122335872 3260930548 3267830528 3366121856 3378230208 3452749992 3472069936 3488014848 3548659714 3564129024 3584072192 3663132608 3676309344 3786887088 3795780864 3892078396 3906078678 3909044736 4017629312 4032081216 4033017168 4121024184 4163114496 4253960448 4504306944 4519832976 4603666656 4891395822 4901745792 5049182784 5208104904 5232022272 5322989571 5376108288 5377356224 5494698912 5693671296 5838117594 6026443968 6049525752 6138222208 6244671744 6521861096 6535661056 6732243712 6756460416 6905499984 6944139872 7097319428 7128258048 7326265216 7337093733 7352618688 7573774176 7591561728 7784156792 7812157356 8035258624 8064162432 8066034336 8242048368 8507920896 8757176391 9008613888 9039665952 9207333312 9782791644 9803491584 10098365568 10416209808 10464044544 10645979142 10752216576 10754712448 10989397824 11387342592 11676235188 12052887936 12099051504 12276444416 12489343488 13043722192 13464487424 13512920832 13810999968 13888279744 14194638856 14652530432 14674187466 14705237376 15147548352 15568313584 15624314712 15968968713 16070517248 16128324864 16132068672 16484096736 17514352782 18079331904 18414666624 19565583288 19606983168 20196731136 20832419616 21291958284 21509424896 21978795648 22774685184 23352470376 24105775872 24198103008 24552888832 26087444384 27025841664 27621999936 27776559488 28389277712 29305060864 29348374932 29410474752 30163607569 30295096704 31136627168 31248629424 31937937426 32256649728 32264137344 32968193472 35028705564 36158663808 36829333248 39131166576 40393462272 41664839232 42583916568 43018849792 43957591296 46704940752 48211551744 48396206016 52174888768 55243999872 55553118976 56778555424 58696749864 58820949504 60327215138 60590193408 62273254336 62497258848 63875874852 64528274688 65936386944 70057411128 72317327616 73658666496 78262333152 83329678464 85167833136 87915182592 90490822707 93409881504 96792412032 104349777536 110487999744 111106237952 113557110848 117393499728 120654430276 121180386816 124546508672 124994517696 127751749704 129056549376 131872773888 140114822256 144634655232 156524666304 166659356928 170335666272 180981645414 186819763008 193584824064 208699555072 220975999488 227114221696 234786999456 241308860552 249093017344 249989035392 255503499408 263745547776 271472468121 280229644512 313049332608 333318713856 340671332544 361963290828 373639526016 387169648128 417399110144 454228443392 469573998912 482617721104 498186034688 499978070784 511006998816 542944936242 560459289024 626098665216 681342665088 723926581656 747279052032 908456886784 939147997824 965235442208 999956141568 1022013997632 1085889872484 1120918578048 1252197330432 1362685330176 1447853163312 1494558104064 1878295995648 1930470884416 2044027995264 2171779744968 2241837156096 2725370660352 2895706326624 3756591991296 3860941768832 4088055990528 4343559489936 4483674312192 5791412653248 7721883537664 8176111981056 8687118979872 11582825306496 15443767075328 17374237959744 23165650612992 34748475919488 46331301225984 69496951838976 138993903677952
- Sum of all divisors σ(n): 455255155555200
- Sum of proper divisors (its aliquot sum) s(n): 316261251877248
- 138993903677952 is an abundant number, because the sum of its proper divisors (316261251877248) is greater than itself. Its abundance is 177267348199296
Bases of 138993903677952
- Binary: 111111001101010000010100100000100110010000000002
- Hexadecimal: 0x7E6A0A413200
- Base-36: 1D9OX1J7K0
Squares and roots of 138993903677952
- 138993903677952 squared (1389939036779522) is 19319305259635798512930914304
- 138993903677952 cubed (1389939036779523) is 2685265654382769633214472621910027726225408
-
The
square root of 138993903677952 is 11789567.5780730821 -
The
cube root of 138993903677952 is 51800.2573589715
Scales and comparisons
How big is 138993903677952?- 138,993,903,677,952 seconds is equal to 4,419,576 years, 10 weeks, 3 days, 19 minutes, 12 seconds.
-
To count from 1 to 138,993,903,677,952 would take you about eleven million, forty-eight thousand, nine hundred forty 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 138993903677952 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138993903677952
- 138993903677952 backwards is 259776309399831
- The number of decimal digits it has is: 15
- The sum of 138993903677952's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138993903677952 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138993903677952 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138993903677952/
Chicago style:
Numbermatics. 2024. "Number 138993903677952 - Facts about the integer". https://numbermatics.com/n/138993903677952/
The information we have on file for 138993903677952 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!
Keywords: Divisors of 138993903677952, math, Factors of 138993903677952, curriculum, school, college, exams, university, Prime factorization of 138993903677952, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred ninety-three billion, nine hundred three million, six hundred seventy-seven thousand, nine hundred fifty-two.