13742138796823199112
13,742,138,796,823,199,112 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742138796823199112 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1280 divisors.
13742138796823199112 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 13742138796823199112:
23 × 3 × 73 × 314 × 163 × 2233
(2 × 2 × 2 × 3 × 7 × 7 × 7 × 31 × 31 × 31 × 31 × 163 × 223 × 223 × 223)See below for interesting mathematical facts about the number 13742138796823199112 from the Numbermatics database.
Names of 13742138796823199112
- Cardinal: 13742138796823199112 can be written as Thirteen quintillion, seven hundred forty-two quadrillion, one hundred thirty-eight trillion, seven hundred ninety-six billion, eight hundred twenty-three million, one hundred ninety-nine thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.3742138796823199112 × 1019
Factors of 13742138796823199112
Divisors of 13742138796823199112
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 163 168 186 196 217 223 248 294 326 343 372 392 434 446 489 588 651 652 669 686 744 868 892 961 978 1029 1141 1176 1302 1304 1338 1372 1519 1561 1736 1784 1922 1956 2058 2282 2604 2676 2744 2883 3038 3122 3423 3844 3912 4116 4557 4564 4683 5053 5208 5352 5766 6076 6244 6727 6846 6913 7688 7987 8232 9114 9128 9366 10106 10633 10927 11532 12152 12488 13454 13692 13826 15159 15974 18228 18732 20181 20212 20739 21266 21854 23064 23961 26908 27384 27652 29791 30318 31899 31948 32781 35371 36349 36456 37464 40362 40424 41478 42532 43708 47089 47922 48391 49729 53816 55304 55909 59582 60636 63798 63896 65562 70742 72698 76489 80724 82956 85064 87416 89373 94178 95844 96782 99458 106113 109047 111818 119164 121272 127596 131124 141267 141484 145173 145396 149187 152978 156643 161448 165912 167727 178746 188356 191688 193564 198916 208537 212226 214303 218094 223636 229467 238328 247597 254443 255192 262248 282534 282968 290346 290792 298374 305956 313286 329623 335454 338737 348103 357492 376712 387128 397832 417074 424452 428606 436188 447272 458934 469929 495194 508886 565068 580692 596748 611912 625611 626572 642909 659246 670908 677474 696206 714984 742791 763329 834148 848904 857212 872376 917868 923521 939858 988869 990388 1016211 1017772 1044309 1096501 1126819 1130136 1161384 1193496 1251222 1253144 1285818 1318492 1341816 1354948 1392412 1459759 1485582 1500121 1526658 1541599 1668296 1714424 1733179 1781101 1835736 1847042 1879716 1977738 1980776 2032422 2035544 2088618 2193002 2253638 2371159 2436721 2502444 2571636 2636984 2709896 2770563 2784824 2919518 2971164 3000242 3053316 3083198 3289503 3380457 3466358 3562202 3694084 3759432 3955476 4064844 4177236 4379277 4386004 4500363 4507276 4624797 4742318 4855933 4873442 5004888 5143272 5199537 5343303 5541126 5839036 5942328 6000484 6106632 6166396 6464647 6579006 6643393 6760914 6932716 7113477 7124404 7310163 7388168 7675507 7887733 7910952 8105827 8129688 8354472 8758554 8772008 9000726 9014552 9249594 9484636 9711866 9746884 10218313 10399074 10500847 10686606 10791193 11082252 11089567 11678072 12000968 12332792 12467707 12929294 13158012 13286786 13521828 13865432 14226954 14248808 14567799 14620326 15351014 15775466 16211654 17057047 17517108 18001452 18499188 18969272 19393941 19423732 19493768 19930179 20436626 20798148 21001694 21373212 21582386 22164504 22179134 23026521 23663199 24317481 24935414 25858588 26316024 26573572 27043656 28453908 29135598 29240652 30654939 30702028 31502541 31550932 32373579 32423308 33268701 33991531 34114094 34931389 35034216 36002904 36998376 37403121 38787882 38847464 39860358 40873252 41596296 42003388 42746424 43164772 44358268 45252529 46053042 46503751 47326398 47789569 48634962 49870828 51171141 51717176 53147144 53728549 55214131 56740789 56907816 58271196 58481304 61309878 61404056 63005082 63101864 64747158 64846616 66537402 67983062 68228188 69862778 73505929 74806242 75538351 77575764 77626969 79720716 81746504 84006776 86329544 88716536 90505058 92106084 93007502 94652796 95579138 97269924 99741656 101974593 102342282 104794167 107457098 110428262 113481578 116542392 122619756 126010164 129494316 133074804 135757587 135966124 136456376 139511253 139725556 143368707 147011858 149612484 150533923 151076702 155151528 155253938 159441432 161185647 165642393 170222367 181010116 184212168 186015004 189305592 191158276 194539848 203949186 204684564 205945183 209588334 214914196 220517787 220856524 226615053 226963156 232880907 237940717 244519723 245239512 251280637 252020328 258988632 266149608 271515174 271932248 279022506 279451112 286737414 294023716 299224968 301067846 302153404 310507876 316767703 322371294 325526257 331284786 334526983 340444734 343776577 362020232 372030008 382316552 386498917 397185523 407898372 409369128 411890366 419176668 429828392 441035574 441713048 451601769 453230106 453926312 465761814 475881434 489039446 502561274 528768457 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290369421244 295506029112 298398068836 303676702728 309798813534 318364679346 321480430663 327167389374 330369290497 336213492306 344757033964 353746097733 354289486516 367406206472 371425459237 381695287603 392249074357 393403732008 402828777948 404281254552 413065084712 423835186614 424486239128 435554131866 436223185832 447597103254 448284656408 469966907606 471661463644 482961384314 508146487177 517135550946 522196620463 531434229774 551109309708 565113582152 580738842488 596796137672 619597627068 620006601403 636729358692 642960861326 654334778748 660738580994 672426984612 689514067928 704950361409 707492195466 708578973032 724442076471 742850918474 763390575206 784498148714 805657555896 847670373228 871108263732 895194206508 939933815212 943322927288 964441291989 965922768628 991107871491 1016292974354 1034271101892 1044393240926 1062868459548 1102218619416 1114276377711 1145085862809 1176747223071 1239195254136 1240013202806 1273458717384 1285921722652 1308669557496 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6948412174324 7310752686482 7440079216836 7485901456867 7715530335912 7928862971928 8015601039663 8237230561497 8914211021688 9001452058564 9160686902472 9250340133916 9413977784568 9869305059726 10142189070594 10241448005407 10422618261486 10687468052884 10966129029723 10982974081996 11514189236347 11832553915693 12159721305067 12195515692248 12532718891112 13159073412968 13502178087846 13522918760792 13875510200874 13896824348648 14621505372964 14880158433672 14971802913734 15752541102487 16031202079326 16188095234353 16474461122994 18002904117128 18500680267832 19220204643493 19738610119452 20284378141188 20482896010814 20845236522972 21374936105768 21932258059446 21965948163992 22457704370601 23028378472694 23665107831386 24319442610134 27004356175692 27751020401748 29243010745928 29943605827468 30724344016221 31505082204974 32062404158652 32376190468706 32948922245988 34542567709041 35497661747079 36479163915201 38440409286986 39477220238904 40568756282376 40965792021628 41690473045944 43864516118892 44915408741202 46056756945388 47257623307461 47330215662772 48564285703059 48638885220268 52401310198069 53850194351011 54008712351384 55502040803496 57660613930479 59887211654936 61448688032442 63010164409948 64124808317304 64752380937412 65897844491976 69085135418082 70995323494158 71690136037849 72958327830402 76880818573972 81931584043256 82827877409851 85118049135469 87729032237784 89830817482404 92113513890776 94515246614922 94660431325544 97128571406118 97277770440536 104802620396138 107700388702022 113316666640471 115321227860958 122897376064884 126020328819896 129504761874824 138170270836164 141990646988316 143380272075698 145916655660804 153761637147944 157203930594207 161550583053033 165655754819702 170236098270938 179661634964808 189030493229844 194257142812236 209605240792276 215070408113547 215400777404044 226633333280942 230642455721916 245794752129768 248483632229553 255354147406407 276340541672328 283981293976632 286760544151396 291833311321608 314407861188414 323101166106066 331311509639404 339949999921413 340472196541876 366809171386483 376951360457077 378060986459688 388514285624472 419210481584552 430140816227094 430801554808088 453266666561884 461284911443832 496967264459106 501830952264943 510708294812814 573521088302792 595826343948283 628815722376828 646202332212132 662623019278808 679899999842826 680944393083752 733618342772966 753902720914154 860281632454188 906533333123768 993934528918212 1003661904529886 1021416589625628 1100427514159449 1130854081371231 1191652687896566 1257631444753656 1292404664424264 1359799999685652 1467236685545932 1505492856794829 1507805441828308 1669356024881341 1720563264908376 1787479031844849 1987869057836424 2007323809059772 2042833179251256 2200855028318898 2261708162742462 2383305375793132 2567664199705381 2638659523199539 2719599999371304 2934473371091864 3010985713589658 3015610883656616 3338712049762682 3512816665854601 3574958063689698 4014647618119544 4401710056637796 4523416325484924 4766610751586264 5008068074644023 5135328399410762 5277319046399078 6021971427179316 6677424099525364 7025633331709202 7149916127379396 7702992599116143 7915978569598617 8803420113275592 9046832650969848 10016136149288046 10270656798821524 10538449997563803 10554638092798156 11685492174169387 12043942854358632 13354848199050728 14051266663418404 14299832254758792 15405985198232286 15831957139197234 18470616662396773 20032272298576092 20541313597643048 21076899995127606 21109276185596312 23370984348338774 28102533326836808 30811970396464572 31663914278394468 35056476522508161 36941233324793546 40064544597152184 42153799990255212 46741968696677548 55411849987190319 61623940792929144 63327828556788936 70112953045016322 73882466649587092 81798445219185709 84307599980510424 93483937393355096 110823699974380638 140225906090032644 147764933299174184 163596890438371418 221647399948761276 245395335657557127 280451812180065288 327193780876742836 443294799897522552 490790671315114254 572589116534299963 654387561753485672 981581342630228508 1145178233068599926 1717767349602899889 1963162685260457016 2290356466137199852 3435534699205799778 4580712932274399704 6871069398411599556 13742138796823199112
- Sum of all divisors σ(n): 41841646557849600000
- Sum of proper divisors (its aliquot sum) s(n): 28099507761026400888
- 13742138796823199112 is an abundant number, because the sum of its proper divisors (28099507761026400888) is greater than itself. Its abundance is 14357368964203201776
Bases of 13742138796823199112
- Binary: 10111110101101011110001001101101001111101100001010111101100010002
- Hexadecimal: 0xBEB5E26D3EC2BD88
- Base-36: 2WEMLN6L3A7WO
Squares and roots of 13742138796823199112
- 13742138796823199112 squared (137421387968231991122) is 188846378711153362524373555081997588544
- 13742138796823199112 cubed (137421387968231991123) is 2595153147526107272311483479414640411608731055099562172928
-
The
square root of 13742138796823199112 is 3707039087.5769301917 -
The
cube root of 13742138796823199112 is 2395253.2799795341
Scales and comparisons
How big is 13742138796823199112?- 13,742,138,796,823,199,112 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,742,138,796,823,199,112 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13742138796823199112 cubic inches would be around 199604.4 feet tall.
Recreational maths with 13742138796823199112
- 13742138796823199112 backwards is 21199132869783124731
- The number of decimal digits it has is: 20
- The sum of 13742138796823199112's digits is 87
- More coming soon!
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"Number 13742138796823199112 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13742138796823199112 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13742138796823199112/
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Numbermatics. 2024. "Number 13742138796823199112 - Facts about the integer". https://numbermatics.com/n/13742138796823199112/
The information we have on file for 13742138796823199112 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 13742138796823199112, math, Factors of 13742138796823199112, curriculum, school, college, exams, university, Prime factorization of 13742138796823199112, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred forty-two quadrillion, one hundred thirty-eight trillion, seven hundred ninety-six billion, eight hundred twenty-three million, one hundred ninety-nine thousand, one hundred twelve.