138942500448378816
138,942,500,448,378,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 138942500448378816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 756 divisors.
138942500448378816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138942500448378816:
26 × 32 × 72 × 1272 × 1801 × 169471
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 127 × 127 × 1801 × 169471)See below for interesting mathematical facts about the number 138942500448378816 from the Numbermatics database.
Names of 138942500448378816
- Cardinal: 138942500448378816 can be written as One hundred thirty-eight quadrillion, nine hundred forty-two trillion, five hundred billion, four hundred forty-eight million, three hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38942500448378816 × 1017
Factors of 138942500448378816
Divisors of 138942500448378816
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 127 144 147 168 192 196 224 252 254 288 294 336 381 392 441 448 504 508 576 588 672 762 784 882 889 1008 1016 1143 1176 1344 1524 1568 1764 1778 1801 2016 2032 2286 2352 2667 3048 3136 3528 3556 3602 4032 4064 4572 4704 5334 5403 6096 6223 7056 7112 7204 8001 8128 9144 9408 10668 10806 12192 12446 12607 14112 14224 14408 16002 16129 16209 18288 18669 21336 21612 24384 24892 25214 28224 28448 28816 32004 32258 32418 36576 37338 37821 42672 43224 48387 49784 50428 56007 56896 57632 64008 64516 64836 73152 74676 75642 85344 86448 88249 96774 99568 100856 112014 112903 113463 115264 128016 129032 129672 145161 149352 151284 169471 170688 172896 176498 193548 199136 201712 224028 225806 226926 228727 256032 258064 259344 264747 290322 298704 302568 338709 338942 345792 352996 387096 398272 403424 448056 451612 453852 457454 508413 512064 516128 518688 529494 580644 597408 605136 677418 677884 686181 705992 774192 790321 794241 806848 896112 903224 907704 914908 1016127 1016826 1032256 1037376 1058988 1161288 1186297 1194816 1210272 1354836 1355768 1372362 1411984 1525239 1548384 1580642 1588482 1601089 1792224 1806448 1815408 1829816 2032254 2033652 2058543 2117976 2322576 2370963 2372594 2420544 2709672 2711536 2744724 2823968 3050478 3096768 3161284 3176964 3202178 3558891 3584448 3612896 3630816 3659632 4064508 4067304 4117086 4235952 4645152 4741926 4745188 4803267 5419344 5423072 5489448 5647936 6100956 6322568 6353928 6404356 7112889 7117782 7225792 7261632 7319264 8129016 8134608 8234172 8304079 8471904 9290304 9483852 9490376 9606534 10676673 10838688 10846144 10978896 11207623 12201912 12645136 12707856 12808712 14225778 14235564 14409801 14638528 16258032 16269216 16468344 16608158 16943808 18967704 18980752 19213068 21353346 21522817 21677376 21957792 22415246 24403824 24912237 25290272 25415712 25617424 28451556 28471128 28819602 29048329 32516064 32538432 32936688 33216316 33622869 37935408 37961504 38426136 42706692 43045634 43915584 44830492 48807648 49824474 50580544 50831424 51234848 56903112 56942256 57639204 58096658 64568451 65032128 65873376 66432632 67245738 74736711 75870816 75923008 76852272 85413384 86091268 87144987 89660984 97615296 99648948 100868607 102469696 113806224 113884512 115278408 116193316 129136902 131746752 132865264 134491476 149473422 150659719 151741632 153704544 170826768 172182536 174289974 179321968 193705353 199297896 201737214 203338303 227612448 227769024 230556816 232386632 258273804 261434961 265730528 268982952 298946844 301319438 305217271 307409088 341653536 344365072 348579948 358643936 387410706 398595792 403474428 406676606 451979157 455224896 461113632 464773264 516547608 522869922 531461056 537965904 597893688 602638876 610014909 610434542 683307072 688730144 697159896 717287872 774821412 797191584 806948856 813353212 903958314 915651813 922227264 929546528 1033095216 1045739844 1054618033 1075931808 1195787376 1205277752 1220029818 1220869084 1355937471 1377460288 1394319792 1423368121 1549642824 1594383168 1613897712 1626706424 1807916628 1830044727 1831303626 1859093056 2066190432 2091479688 2109236066 2136520897 2151863616 2391574752 2410555504 2440059636 2441738168 2711874942 2733397759 2746955439 2788639584 2846736242 3099285648 3163854099 3227795424 3253412848 3615833256 3660089454 3662607252 4132380864 4182959376 4218472132 4270104363 4273041794 4783149504 4821111008 4880119272 4883476336 5423749884 5466795518 5493910878 5577279168 5693472484 6198571296 6327708198 6409562691 6455590848 6506825696 7231666512 7320178908 7325214504 8200193277 8365918752 8436944264 8540208726 8546083588 9491562297 9642222016 9760238544 9766952672 10847499768 10933591036 10987821756 11386944968 12397142592 12655416396 12810313089 12819125382 13013651392 14463333024 14640357816 14650429008 14955646279 16400386554 16731837504 16873888528 17080417452 17092167176 18983124594 19133784313 19228688073 19520477088 19533905344 21694999536 21867182072 21975643512 22773889936 24600579831 25310832792 25620626178 25638250764 28926666048 29280715632 29300858016 29911292558 32800773108 33747777056 34160834904 34184334352 37966249188 38267568626 38457376146 38762593417 39040954176 43389999072 43734364144 43951287024 44866938837 45547779872 49201159662 50621665584 51241252356 51276501528 57401352939 58561431264 58601716032 59822585116 65601546216 67495554112 68321669808 68368668704 75932498376 76535137252 76914752292 77525186834 86779998144 87468728288 87902574048 89733877674 91095559744 98402319324 101243331168 102482504712 102553003056 114802705878 116287780251 117122862528 119645170232 131203092432 133936490191 134600816511 136643339616 136737337408 151864996752 153070274504 153829504584 155050373668 172204058817 174937456576 175805148096 179467755348 196804638648 202486662336 204965009424 205106006112 229605411756 232575560502 239290340464 262406184864 267872980382 269201633022 271338153919 273286679232 303729993504 306140549008 307659009168 310100747336 344408117634 348863340753 358935510696 393609277296 401809470573 409930018848 410212012224 459210823512 465151121004 478580680928 524812369728 535745960764 538403266044 542676307838 607459987008 612281098016 615318018336 620201494672 688816235268 697726681506 717871021392 787218554592 803618941146 814014461757 819860037696 918421647024 930302242008 957161361856 1071491921528 1076806532088 1085352615676 1205428411719 1224562196032 1230636036672 1240402989344 1377632470536 1395453363012 1435742042784 1574437109184 1607237882292 1628028923514 1836843294048 1860604484016 1899367077433 2142983843056 2153613064176 2170705231352 2410856823438 2442043385271 2480805978688 2755264941072 2790906726024 2871484085568 3214475764584 3256057847028 3673686588096 3721208968032 3798734154866 4285967686112 4307226128352 4341410462704 4821713646876 4884086770542 4922849363959 5510529882144 5581813452048 5698101232299 6428951529168 6512115694056 7442417936064 7597468309732 8571935372224 8614452256704 8682820925408 9643427293752 9768173541084 9845698727918 11021059764288 11163626904096 11396202464598 12857903058336 13024231388112 14768548091877 15194936619464 17094303696897 17365641850816 19286854587504 19536347082168 19691397455836 22327253808192 22792404929196 25715806116672 26048462776224 29537096183754 30389873238928 34188607393794 34459945547713 38573709175008 39072694164336 39382794911672 44305644275631 45584809858392 52096925552448 59074192367508 60779746477856 68377214787588 68919891095426 77147418350016 78145388328672 78765589823344 88611288551262 91169619716784 103379836643139 118148384735016 121559492955712 136754429575176 137839782190852 156290776657344 157531179646688 177222577102524 182339239433568 206759673286278 236296769470032 241219618833991 273508859150352 275679564381704 310139509929417 315062359293376 354445154205048 364678478867136 413519346572556 472593538940064 482439237667982 547017718300704 551359128763408 620279019858834 708890308410096 723658856501973 827038693145112 945187077880128 964878475335964 1094035436601408 1102718257526816 1240558039717668 1417780616820192 1447317713003946 1654077386290224 1929756950671928 2170976569505919 2205436515053632 2481116079435336 2835561233640384 2894635426007892 3308154772580448 3859513901343856 4341953139011838 4962232158870672 5789270852015784 6616309545160896 7719027802687712 8683906278023676 9924464317741344 11578541704031568 15438055605375424 17367812556047352 19848928635482688 23157083408063136 34735625112094704 46314166816126272 69471250224189408 138942500448378816
- Sum of all divisors σ(n): 467213169688851456
- Sum of proper divisors (its aliquot sum) s(n): 328270669240472640
- 138942500448378816 is an abundant number, because the sum of its proper divisors (328270669240472640) is greater than itself. Its abundance is 189328168792093824
Bases of 138942500448378816
- Binary: 1111011011001111101110111110011110110111000011111110000002
- Hexadecimal: 0x1ED9F77CF6E1FC0
- Base-36: 120307J5WTS0
Squares and roots of 138942500448378816
- 138942500448378816 squared (1389425004483788162) is 19305018430847747485203562637561856
- 138942500448378816 cubed (1389425004483788163) is 2682287531984024461844586895451989111691822120042496
-
The
square root of 138942500448378816 is 372749916.7650863689 -
The
cube root of 138942500448378816 is 517938.7091860447
Scales and comparisons
How big is 138942500448378816?- 138,942,500,448,378,816 seconds is equal to 4,417,941,736 years, 46 weeks, 14 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,942,500,448,378,816 would take you about thirteen billion, two hundred fifty-three million, eight hundred twenty-five thousand, two hundred ten 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 138942500448378816 cubic inches would be around 43161.6 feet tall.
Recreational maths with 138942500448378816
- 138942500448378816 backwards is 618873844005249831
- The number of decimal digits it has is: 18
- The sum of 138942500448378816's digits is 81
- More coming soon!
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The information we have on file for 138942500448378816 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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