137531338017210368
137,531,338,017,210,368 is an even composite number composed of four prime numbers multiplied together.
137531338017210368 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137531338017210368:
226 × 73 × 113 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 67 × 67)See below for interesting mathematical facts about the number 137531338017210368 from the Numbermatics database.
Names of 137531338017210368
- Cardinal: 137531338017210368 can be written as One hundred thirty-seven quadrillion, five hundred thirty-one trillion, three hundred thirty-eight billion, seventeen million, two hundred ten thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37531338017210368 × 1017
Factors of 137531338017210368
Divisors of 137531338017210368
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 67 77 88 98 112 121 128 134 154 176 196 224 242 256 268 308 343 352 392 448 469 484 512 536 539 616 686 704 737 784 847 896 938 968 1024 1072 1078 1232 1331 1372 1408 1474 1568 1694 1792 1876 1936 2048 2144 2156 2464 2662 2744 2816 2948 3136 3283 3388 3584 3752 3773 3872 4096 4288 4312 4489 4928 5159 5324 5488 5632 5896 5929 6272 6566 6776 7168 7504 7546 7744 8107 8192 8576 8624 8978 9317 9856 10318 10648 10976 11264 11792 11858 12544 13132 13552 14336 15008 15092 15488 16214 16384 17152 17248 17956 18634 19712 20636 21296 21952 22528 22981 23584 23716 25088 26264 27104 28672 30016 30184 30976 31423 32428 32768 34304 34496 35912 36113 37268 39424 41272 41503 42592 43904 45056 45962 47168 47432 49379 50176 52528 54208 56749 57344 60032 60368 61952 62846 64856 65219 65536 68608 68992 71824 72226 74536 78848 82544 83006 85184 87808 89177 90112 91924 94336 94864 98758 100352 105056 108416 113498 114688 120064 120736 123904 125692 129712 130438 131072 137216 137984 143648 144452 149072 157696 165088 166012 170368 175616 178354 180224 183848 188672 189728 197516 200704 210112 216832 219961 226996 229376 240128 241472 247808 251384 252791 259424 260876 262144 274432 275968 287296 288904 298144 315392 330176 332024 340736 345653 351232 356708 360448 367696 377344 379456 395032 397243 401408 420224 433664 439922 453992 456533 458752 480256 482944 495616 502768 505582 518848 521752 524288 543169 548864 551936 574592 577808 596288 624239 630784 660352 664048 681472 691306 702464 713416 720896 735392 754688 758912 790064 794486 802816 840448 867328 879844 907984 913066 917504 960512 965888 991232 1005536 1011164 1037696 1043504 1048576 1086338 1097728 1103872 1149184 1155616 1192576 1248478 1261568 1320704 1328096 1362944 1382612 1404928 1426832 1441792 1470784 1509376 1517824 1539727 1580128 1588972 1605632 1680896 1734656 1759688 1815968 1826132 1835008 1921024 1931776 1982464 2011072 2022328 2075392 2087008 2097152 2172676 2195456 2207744 2298368 2311232 2385152 2419571 2496956 2523136 2641408 2656192 2725888 2765224 2780701 2809856 2853664 2883584 2941568 3018752 3035648 3079454 3160256 3177944 3211264 3361792 3469312 3519376 3631936 3652264 3670016 3802183 3842048 3863552 3964928 4022144 4044656 4150784 4174016 4194304 4345352 4369673 4390912 4415488 4596736 4622464 4770304 4839142 4993912 5046272 5282816 5312384 5451776 5530448 5561402 5619712 5707328 5767168 5883136 5974859 6037504 6071296 6158908 6320512 6355888 6422528 6723584 6938624 7038752 7263872 7304528 7340032 7604366 7684096 7727104 7929856 8044288 8089312 8301568 8348032 8388608 8690704 8739346 8781824 8830976 9193472 9244928 9540608 9678284 9987824 10092544 10565632 10624768 10903552 11060896 11122804 11239424 11414656 11534336 11766272 11949718 12075008 12142592 12317816 12641024 12711776 12845056 13447168 13877248 14077504 14527744 14609056 14680064 15208732 15368192 15454208 15859712 16088576 16178624 16603136 16696064 16777216 16936997 17381408 17478692 17563648 17661952 18386944 18489856 19081216 19356568 19975648 20185088 21131264 21249536 21807104 22121792 22245608 22478848 22829312 23068672 23532544 23899436 24150016 24285184 24635632 25282048 25423552 25690112 26615281 26894336 27754496 28155008 29055488 29218112 29360128 30417464 30587711 30736384 30908416 31719424 32177152 32357248 33206272 33392128 33554432 33873994 34762816 34957384 35127296 35323904 36773888 36979712 38162432 38713136 39951296 40370176 41824013 42262528 42499072 43614208 44243584 44491216 44957696 45658624 46137344 47065088 47798872 48300032 48570368 49271264 50564096 50847104 51380224 53230562 53788672 55508992 56310016 58110976 58436224 58720256 60834928 61175422 61472768 61816832 63438848 64354304 64714496 66412544 66784256 67108864 67747988 69525632 69914768 70254592 70647808 73547776 73959424 76324864 77426272 79902592 80740352 83648026 84525056 84998144 87228416 88487168 88982432 89915392 91317248 92274688 94130176 95597744 96600064 97140736 98542528 101128192 101694208 102760448 106461124 107577344 111017984 112620032 116221952 116872448 117440512 121669856 122350844 122945536 123633664 126877696 128708608 129428992 132825088 133568512 135495976 139051264 139829536 140509184 141295616 147095552 147918848 152649728 154852544 159805184 161480704 167296052 169050112 169996288 174456832 176974336 177964864 179830784 182634496 184549376 186306967 188260352 191195488 193200128 194281472 197085056 202256384 203388416 205520896 212922248 215154688 222035968 225240064 232443904 233744896 234881024 243339712 244701688 245891072 247267328 253755392 257417216 258857984 265650176 267137024 270991952 278102528 279659072 281018368 282591232 292768091 294191104 295837696 305299456 309705088 319610368 322961408 334592104 338100224 339992576 348913664 353948672 355929728 359661568 365268992 369098752 372613934 376520704 382390976 386400256 388562944 394170112 404512768 406776832 411041792 425844496 430309376 444071936 450480128 464887808 467489792 469762048 486679424 489403376 491782144 494534656 507510784 514834432 517715968 531300352 534274048 541983904 556205056 559318144 562036736 565182464 585536182 588382208 591675392 610598912 619410176 639220736 645922816 669184208 676200448 679985152 697827328 707897344 711859456 719323136 730537984 738197504 745227868 753041408 764781952 772800512 777125888 788340224 809025536 813553664 822083584 851688992 860618752 888143872 900960256 929775616 934979584 973358848 978806752 983564288 989069312 1015021568 1029668864 1035431936 1062600704 1068548096 1083967808 1112410112 1118636288 1124073472 1130364928 1171072364 1176764416 1183350784 1221197824 1238820352 1278441472 1291845632 1338368416 1352400896 1359970304 1395654656 1415794688 1423718912 1438646272 1461075968 1490455736 1506082816 1529563904 1545601024 1554251776 1576680448 1618051072 1627107328 1644167168 1703377984 1721237504 1776287744 1801920512 1859551232 1869959168 1946717696 1957613504 1967128576 1978138624 2030043136 2049376637 2059337728 2070863872 2125201408 2137096192 2167935616 2224820224 2237272576 2248146944 2260729856 2342144728 2353528832 2366701568 2442395648 2477640704 2556882944 2583691264 2676736832 2704801792 2719940608 2791309312 2831589376 2847437824 2877292544 2922151936 2980911472 3012165632 3059127808 3091202048 3108503552 3153360896 3236102144 3254214656 3288334336 3406755968 3442475008 3552575488 3603841024 3719102464 3739918336 3893435392 3915227008 3934257152 3956277248 4060086272 4098753274 4118675456 4141727744 4250402816 4274192384 4335871232 4449640448 4474545152 4496293888 4521459712 4684289456 4707057664 4733403136 4884791296 4955281408 5113765888 5167382528 5353473664 5409603584 5439881216 5582618624 5663178752 5694875648 5754585088 5844303872 5961822944 6024331264 6118255616 6182404096 6217007104 6306721792 6472204288 6508429312 6813511936 6884950016 7105150976 7207682048 7438204928 7479836672 7786870784 7830454016 7868514304 7912554496 8120172544 8197506548 8237350912 8283455488 8500805632 8548384768 8671742464 8899280896 8949090304 9042919424 9368578912 9414115328 9466806272 9769582592 9910562816 10227531776 10706947328 10819207168 10879762432 11165237248 11326357504 11389751296 11509170176 11688607744 11923645888 12048662528 12236511232 12364808192 12434014208 12613443584 12944408576 13016858624 13627023872 13769900032 14210301952 14415364096 14876409856 14959673344 15573741568 15660908032 15737028608 15825108992 16395013096 16474701824 16566910976 17001611264 17096769536 17343484928 17798561792 17898180608 18085838848 18737157824 18828230656 18933612544 19539165184 19821125632 20455063552 21413894656 21638414336 21759524864 22330474496 22652715008 22779502592 23018340352 23377215488 23847291776 24097325056 24473022464 24729616384 24868028416 25226887168 25888817152 26033717248 27254047744 27539800064 28420603904 28830728192 29752819712 29919346688 31147483136 31321816064 31474057216 31650217984 32790026192 32949403648 33133821952 34003222528 34193539072 34686969856 35597123584 35796361216 36171677696 37474315648 37656461312 37867225088 39078330368 39642251264 40910127104 42827789312 43276828672 43519049728 44660948992 45305430016 45559005184 46754430976 47694583552 48194650112 48946044928 49459232768 49736056832 50453774336 51777634304 52067434496 54508095488 55079600128 56841207808 57661456384 59505639424 59838693376 62294966272 62643632128 63300435968 65580052384 65898807296 66267643904 68006445056 68387078144 69373939712 71194247168 71592722432 74948631296 75312922624 75734450176 78156660736 79284502528 81820254208 85655578624 86553657344 87038099456 89321897984 90610860032 91118010368 93508861952 95389167104 96389300224 97892089856 99472113664 100907548672 103555268608 104134868992 109016190976 110159200256 115322912768 119011278848 119677386752 124589932544 125287264256 126600871936 131160104768 131797614592 132535287808 136012890112 136774156288 138747879424 142388494336 143185444864 149897262592 150625845248 151468900352 156313321472 158569005056 163640508416 171311157248 173107314688 174076198912 181221720064 182236020736 187017723904 190778334208 192778600448 195784179712 198944227328 201815097344 207110537216 208269737984 218032381952 220318400512 230645825536 238022557696 239354773504 249179865088 250574528512 253201743872 262320209536 263595229184 265070575616 272025780224 273548312576 277495758848 284776988672 286370889728 299794525184 301251690496 302937800704 312626642944 317138010112 327281016832 342622314496 346214629376 348152397824 362443440128 364472041472 374035447808 381556668416 385557200896 391568359424 397888454656 403630194688 414221074432 416539475968 436064763904 461291651072 476045115392 478709547008 498359730176 501149057024 524640419072 527190458368 530141151232 544051560448 547096625152 554991517696 569553977344 572741779456 599589050368 605875601408 625253285888 634276020224 654562033664 685244628992 696304795648 724886880256 728944082944 748070895616 763113336832 771114401792 783136718848 807260389376 828442148864 833078951936 872129527808 922583302144 952090230784 957419094016 996719460352 1002298114048 1049280838144 1054380916736 1060282302464 1094193250304 1109983035392 1139107954688 1145483558912 1199178100736 1211751202816 1268552040448 1309124067328 1370489257984 1392609591296 1449773760512 1457888165888 1496141791232 1526226673664 1542228803584 1566273437696 1614520778752 1656884297728 1666157903872 1744259055616 1845166604288 1904180461568 1914838188032 1993438920704 2004596228096 2098561676288 2108761833472 2120564604928 2188386500608 2219966070784 2278215909376 2290967117824 2398356201472 2423502405632 2537104080896 2618248134656 2740978515968 2785219182592 2899547521024 2915776331776 2992283582464 3052453347328 3132546875392 3229041557504 3313768595456 3332315807744 3488518111232 3690333208576 3808360923136 3829676376064 3986877841408 4009192456192 4197123352576 4241129209856 4376773001216 4439932141568 4556431818752 4581934235648 4796712402944 5074208161792 5236496269312 5481957031936 5799095042048 5831552663552 5984567164928 6104906694656 6265093750784 6458083115008 6664631615488 6977036222464 7380666417152 7659352752128 7973755682816 8018384912384 8394246705152 8482258419712 8879864283136 9112863637504 9163868471296 9593424805888 10148416323584 10472992538624 10963914063872 11598190084096 11663105327104 12209813389312 12530187501568 12916166230016 13329263230976 13954072444928 14761332834304 15318705504256 15947511365632 16036769824768 16788493410304 16964516839424 17759728566272 18225727275008 18327736942592 19186849611776 20296832647168 20945985077248 21927828127744 23196380168192 23326210654208 24419626778624 25060375003136 25832332460032 26658526461952 27908144889856 30637411008512 31895022731264 32073539649536 33576986820608 35519457132544 36451454550016 36655473885184 38373699223552 40593665294336 41891970154496 43855656255488 46652421308416 48839253557248 50120750006272 51664664920064 55816289779712 63790045462528 64147079299072 67153973641216 71038914265088 73310947770368 76747398447104 81187330588672 87711312510976 93304842616832 97678507114496 100241500012544 103329329840128 111632579559424 127580090925056 128294158598144 134307947282432 142077828530176 146621895540736 153494796894208 162374661177344 175422625021952 186609685233664 195357014228992 200483000025088 223265159118848 255160181850112 256588317196288 268615894564864 284155657060352 293243791081472 306989593788416 350845250043904 390714028457984 400966000050176 446530318237696 513176634392576 537231789129728 568311314120704 613979187576832 701690500087808 781428056915968 893060636475392 1026353268785152 1074463578259456 1136622628241408 1227958375153664 1403381000175616 1562856113831936 1786121272950784 2052706537570304 2148927156518912 2455916750307328 2806762000351232 3125712227663872 4297854313037824 4911833500614656 6251424455327744 8595708626075648 9823667001229312 12502848910655488 17191417252151296 19647334002458624 34382834504302592 68765669008605184 137531338017210368
- Sum of all divisors σ(n): 358170634543478400
- Sum of proper divisors (its aliquot sum) s(n): 220639296526268032
- 137531338017210368 is an abundant number, because the sum of its proper divisors (220639296526268032) is greater than itself. Its abundance is 83107958509057664
Bases of 137531338017210368
- Binary: 1111010001001110000000101111101000000000000000000000000002
- Hexadecimal: 0x1E89C05F4000000
- Base-36: 11M6SGGLJ0U8
Squares and roots of 137531338017210368
- 137531338017210368 squared (1375313380172103682) is 18914868936804173877320964766695424
- 137531338017210368 cubed (1375313380172103683) is 2601387233298847332406768716179160158947174390956032
-
The
square root of 137531338017210368 is 370852178.1211624055 -
The
cube root of 137531338017210368 is 516179.2664005527
Scales and comparisons
How big is 137531338017210368?- 137,531,338,017,210,368 seconds is equal to 4,373,071,136 years, 30 weeks, 3 days, 17 hours, 6 minutes, 8 seconds.
-
To count from 1 to 137,531,338,017,210,368 would take you about thirteen billion, one hundred nineteen million, two hundred thirteen thousand, four hundred 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 137531338017210368 cubic inches would be around 43014.9 feet tall.
Recreational maths with 137531338017210368
- 137531338017210368 backwards is 863012710833135731
- The number of decimal digits it has is: 18
- The sum of 137531338017210368's digits is 62
- 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 137531338017210368 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 137531338017210368 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/137531338017210368/
Chicago style:
Numbermatics. 2024. "Number 137531338017210368 - Facts about the integer". https://numbermatics.com/n/137531338017210368/
The information we have on file for 137531338017210368 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 137531338017210368, math, Factors of 137531338017210368, curriculum, school, college, exams, university, Prime factorization of 137531338017210368, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, five hundred thirty-one trillion, three hundred thirty-eight billion, seventeen million, two hundred ten thousand, three hundred sixty-eight.