138680382867001344
138,680,382,867,001,344 is an even composite number composed of four prime numbers multiplied together.
138680382867001344 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred forty-six divisors.
Prime factorization of 138680382867001344:
212 × 32 × 476 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 47 × 47 × 47 × 47 × 47 × 47 × 349)See below for interesting mathematical facts about the number 138680382867001344 from the Numbermatics database.
Names of 138680382867001344
- Cardinal: 138680382867001344 can be written as One hundred thirty-eight quadrillion, six hundred eighty trillion, three hundred eighty-two billion, eight hundred sixty-seven million, one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38680382867001344 × 1017
Factors of 138680382867001344
Divisors of 138680382867001344
- Number of divisors d(n): 546
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 349 376 384 423 512 564 576 698 752 768 846 1024 1047 1128 1152 1396 1504 1536 1692 2048 2094 2209 2256 2304 2792 3008 3072 3141 3384 4096 4188 4418 4512 4608 5584 6016 6144 6282 6627 6768 8376 8836 9024 9216 11168 12032 12288 12564 13254 13536 16403 16752 17672 18048 18432 19881 22336 24064 25128 26508 27072 32806 33504 35344 36096 36864 39762 44672 48128 49209 50256 53016 54144 65612 67008 70688 72192 79524 89344 96256 98418 100512 103823 106032 108288 131224 134016 141376 144384 147627 159048 178688 192512 196836 201024 207646 212064 216576 262448 268032 282752 288768 295254 311469 318096 357376 393672 402048 415292 424128 433152 524896 536064 565504 577536 590508 622938 636192 714752 770941 787344 804096 830584 848256 866304 934407 1049792 1072128 1131008 1181016 1245876 1272384 1429504 1541882 1574688 1608192 1661168 1696512 1732608 1868814 2099584 2144256 2262016 2312823 2362032 2491752 2544768 3083764 3149376 3216384 3322336 3393024 3737628 4199168 4288512 4524032 4625646 4724064 4879681 4983504 5089536 6167528 6298752 6432768 6644672 6786048 6938469 7475256 8398336 9048064 9251292 9448128 9759362 9967008 10179072 12335056 12597504 12865536 13289344 13572096 13876938 14639043 14950512 16796672 18502584 18896256 19518724 19934016 20358144 24670112 25195008 26578688 27144192 27753876 29278086 29901024 33593344 36234227 37005168 37792512 39037448 39868032 40716288 43917129 49340224 50390016 53157376 55507752 58556172 59802048 67186688 72468454 74010336 75585024 78074896 79736064 81432576 87834258 98680448 100780032 106314752 108702681 111015504 117112344 119604096 144936908 148020672 151170048 156149792 159472128 175668516 197360896 201560064 212629504 217405362 222031008 229345007 234224688 239208192 289873816 296041344 302340096 312299584 318944256 326108043 351337032 394721792 425259008 434810724 444062016 458690014 468449376 478416384 579747632 592082688 604680192 624599168 637888512 652216086 688035021 702674064 789443584 869621448 888124032 917380028 936898752 956832768 1159495264 1184165376 1249198336 1275777024 1304432172 1376070042 1405348128 1578887168 1703008669 1739242896 1776248064 1834760056 1873797504 1913665536 2064105063 2318990528 2368330752 2498396672 2608864344 2752140084 2810696256 3157774336 3406017338 3478485792 3552496128 3669520112 3747595008 3827331072 4128210126 4637981056 4736661504 4996793344 5109026007 5217728688 5504280168 5621392512 6812034676 6956971584 7104992256 7339040224 7495190016 8256420252 9275962112 9473323008 9993586688 10218052014 10435457376 10779215329 11008560336 11242785024 13624069352 13913943168 14209984512 14678080448 14990380032 15327078021 16512840504 18551924224 19987173376 20436104028 20870914752 21558430658 22017120672 22485570048 27248138704 27827886336 28419969024 29356160896 29980760064 30654156042 32337645987 33025681008 37103848448 40872208056 41741829504 43116861316 44034241344 44971140096 54496277408 55655772672 58712321792 59961520128 61308312084 64675291974 66051362016 74207696896 80041407443 81744416112 83483659008 86233722632 88068482688 89942280192 97012937961 108992554816 111311545344 117424643584 122616624168 129350583948 132102724032 148415393792 160082814886 163488832224 166967318016 172467445264 176136965376 179884560384 194025875922 217985109632 222623090688 234849287168 240124222329 245233248336 258701167896 264205448064 320165629772 326977664448 333934636032 344934890528 352273930752 388051751844 435970219264 445246181376 469698574336 480248444658 490466496672 517402335792 528410896128 640331259544 653955328896 667869272064 689869781056 704547861504 720372666987 776103503688 871940438528 939397148672 960496889316 980932993344 1034804671584 1056821792256 1280662519088 1307910657792 1335738544128 1379739562112 1409095723008 1440745333974 1552207007376 1743880877056 1920993778632 1961865986688 2069609343168 2113643584512 2561325038176 2615821315584 2759479124224 2818191446016 2881490667948 3104414014752 3487761754112 3761946149821 3841987557264 3923731973376 4139218686336 4227287169024 5122650076352 5231642631168 5518958248448 5762981335896 6208828029504 6975523508224 7523892299642 7683975114528 7847463946752 8278437372672 8454574338048 10245300152704 10463285262336 11037916496896 11285838449463 11525962671792 12417656059008 15047784599284 15367950229056 15694927893504 16556874745344 20490600305408 20926570524672 22075832993792 22571676898926 23051925343584 24835312118016 30095569198568 30735900458112 31389855787008 33113749490688 33857515348389 40981200610816 44151665987584 45143353797852 46103850687168 49670624236032 60191138397136 61471800916224 62779711574016 66227498981376 67715030696778 81962401221632 90286707595704 92207701374336 99341248472064 120382276794272 122943601832448 132454997962752 135430061393556 163924802443264 180573415191408 184415402748672 198682496944128 240764553588544 245887203664896 270860122787112 327849604886528 361146830382816 368830805497344 397364993888256 481529107177088 491774407329792 541720245574224 722293660765632 737661610994688 963058214354176 983548814659584 1083440491148448 1444587321531264 1475323221989376 1926116428708352 2166880982296896 2889174643062528 2950646443978752 3852232857416704 4333761964593792 5778349286125056 7704465714833408 8667523929187584 11556698572250112 15408931429666816 17335047858375168 23113397144500224 34670095716750336 46226794289000448 69340191433500672 138680382867001344
- Sum of all divisors σ(n): 410464400166397850
- Sum of proper divisors (its aliquot sum) s(n): 271784017299396506
- 138680382867001344 is an abundant number, because the sum of its proper divisors (271784017299396506) is greater than itself. Its abundance is 133103634432395162
Bases of 138680382867001344
- Binary: 1111011001011000100010010110011100001101001010000000000002
- Hexadecimal: 0x1ECB112CE1A5000
- Base-36: 11XI3CDLMV40
Squares and roots of 138680382867001344
- 138680382867001344 squared (1386803828670013442) is 19232248592138079912558146497806336
- 138680382867001344 cubed (1386803828670013443) is 2667135598151056496545913471295060330247338363715584
-
The
square root of 138680382867001344 is 372398150.9983653825 -
The
cube root of 138680382867001344 is 517612.8038590743
Scales and comparisons
How big is 138680382867001344?- 138,680,382,867,001,344 seconds is equal to 4,409,607,208 years, 30 weeks, 1 day, 15 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,680,382,867,001,344 would take you about thirteen billion, two hundred twenty-eight million, eight hundred twenty-one thousand, six hundred twenty-five 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 138680382867001344 cubic inches would be around 43134.4 feet tall.
Recreational maths with 138680382867001344
- 138680382867001344 backwards is 443100768283086831
- 138680382867001344 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138680382867001344's digits is 72
- More coming soon!
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