138837344256

Names of 138837344256

• Cardinal: 138837344256 can be written as One hundred thirty-eight billion, eight hundred thirty-seven million, three hundred forty-four thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 1.38837344256 × 10¹¹

Factors of 138837344256

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 155

Divisors of 138837344256

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 47 48 52 64 67 69 72 78 92 94 96 104 117 128 134 138 141 144 156 184 188 192 201 207 208 234 256 268 276 282 288 299 312 368 376 384 402 414 416 423 468 512 536 552 564 576 598 603 611 624 736 752 768 804 828 832 846 871 897 936 1024 1072 1081 1104 1128 1152 1196 1206 1222 1248 1472 1504 1536 1541 1608 1656 1664 1692 1742 1794 1833 1872 2048 2144 2162 2208 2256 2304 2392 2412 2444 2496 2613 2691 2944 3008 3072 3082 3149 3216 3243 3312 3328 3384 3484 3588 3666 3744 4096 4288 4324 4416 4512 4608 4623 4784 4824 4888 4992 5226 5382 5499 5888 6016 6144 6164 6298 6432 6486 6624 6656 6768 6968 7176 7332 7488 7839 8192 8576 8648 8832 9024 9216 9246 9447 9568 9648 9729 9776 9984 10452 10764 10998 11776 12032 12288 12328 12596 12864 12972 13248 13312 13536 13869 13936 14053 14352 14664 14976 15678 16384 17152 17296 17664 18048 18432 18492 18894 19136 19296 19458 19552 19968 20033 20904 21528 21996 23552 24064 24576 24656 25192 25728 25944 26496 26624 27072 27738 27872 28106 28341 28704 29328 29952 31356 34304 34592 35328 36096 36864 36984 37788 38272 38592 38916 39104 39936 40066 40937 41808 42159 43056 43992 47104 48128 49152 49312 50384 51456 51888 52992 53248 54144 55476 55744 56212 56682 57408 58656 59904 60099 62712 68608 69184 70656 72192 72427 73728 73968 75576 76544 77184 77832 78208 79872 80132 81874 83616 84318 86112 87984 94208 96256 98624 100768 102912 103776 105984 106496 108288 110952 111488 112424 113364 114816 117312 119808 120198 122811 125424 126477 137216 138368 141312 144384 144854 147456 147936 151152 153088 154368 155664 156416 159744 160264 163748 167232 168636 172224 175968 180297 188416 192512 197248 201536 205824 207552 211968 212992 216576 217281 221904 222976 224848 226728 229632 234624 239616 240396 245622 250848 252954 274432 276736 282624 288768 289708 295872 302304 306176 308736 311328 312832 319488 320528 327496 334464 337272 344448 351936 360594 368433 376832 385024 394496 403072 411648 415104 423936 433152 434562 443808 445952 449696 453456 459264 469248 479232 480792 491244 501696 505908 548864 553472 565248 577536 579416 591744 604608 612352 617472 622656 625664 638976 641056 651843 654992 668928 674544 688896 703872 721188 736866 770048 788992 806144 823296 830208 847872 866304 869124 887616 891904 899392 906912 918528 938496 941551 958464 961584 982488 1003392 1011816 1097728 1106944 1130496 1155072 1158832 1183488 1209216 1224704 1234944 1245312 1251328 1282112 1303686 1309984 1337856 1349088 1377792 1407744 1442376 1473732 1577984 1612288 1646592 1660416 1695744 1732608 1738248 1775232 1783808 1798784 1813824 1837056 1876992 1883102 1916928 1923168 1964976 2006784 2023632 2213888 2310144 2317664 2366976 2418432 2449408 2469888 2490624 2502656 2564224 2607372 2619968 2675712 2698176 2755584 2815488 2824653 2884752 2947464 3155968 3224576 3293184 3320832 3391488 3465216 3476496 3550464 3567616 3597568 3627648 3674112 3753984 3766204 3846336 3929952 4013568 4047264 4427776 4635328 4733952 4836864 4898816 4939776 4981248 5005312 5128448 5214744 5239936 5351424 5396352 5511168 5630976 5649306 5769504 5894928 6311936 6449152 6641664 6930432 6952992 7100928 7135232 7195136 7255296 7348224 7507968 7532408 7692672 7859904 8027136 8094528 8473959 8855552 9270656 9467904 9673728 9879552 9962496 10010624 10256896 10429488 10479872 10702848 10792704 11022336 11261952 11298612 11539008 11789856 12623872 12898304 13283328 13905984 14201856 14270464 14390272 14510592 14696448 15015936 15064816 15385344 15719808 16054272 16189056 16947918 17711104 18541312 18935808 19347456 19924992 20513792 20858976 20959744 21405696 21585408 22044672 22523904 22597224 23078016 23579712 25247744 25796608 26566656 27811968 28403712 28780544 29021184 30031872 30129632 30770688 31439616 32108544 32378112 33895836 37082624 37871616 38694912 39849984 41027584 41717952 41919488 42811392 43170816 44089344 45047808 45194448 46156032 47159424 51593216 53133312 55623936 56807424 57561088 58042368 60259264 61541376 62879232 64217088 64756224 67791672 74165248 75743232 77389824 79699968 82055168 83435904 83838976 86341632 90095616 90388896 92312064 94318848 111247872 113614848 115122176 116084736 120518528 123082752 125758464 128434176 129512448 135583344 148330496 154779648 159399936 164110336 166871808 167677952 172683264 180777792 184624128 188637696 222495744 227229696 230244352 232169472 241037056 246165504 251516928 259024896 271166688 296660992 328220672 333743616 335355904 345366528 361555584 369248256 377275392 444991488 464338944 482074112 492331008 503033856 518049792 542333376 593321984 667487232 670711808 690733056 723111168 738496512 754550784 889982976 964148224 984662016 1006067712 1036099584 1084666752 1186643968 1334974464 1446222336 1476993024 1509101568 1779965952 1928296448 2012135424 2072199168 2169333504 2669948928 2892444672 2953986048 3018203136 3559931904 3856592896 4338667008 5339897856 5784889344 6036406272 7713185792 8677334016 10679795712 11569778688 15426371584 17354668032 23139557376 34709336064 46279114752 69418672128 138837344256
• Sum of all divisors σ(n): 467164099584
• Sum of proper divisors (its aliquot sum) s(n): 328326755328
• 138837344256 is an abundant number, because the sum of its proper divisors (328326755328) is greater than itself. Its abundance is 189489411072

Bases of 138837344256

• Binary: 10000001010011010110011100000000000000₂
• Hexadecimal: 0x205359C000
• Base-36: 1RS464G0

Squares and roots of 138837344256

• 138837344256 squared (138837344256²) is 19275808160059056193536
• 138837344256 cubed (138837344256³) is 2676202013330733134032406593929216
• The square root of 138837344256 is 372608.8354507981
• The cube root of 138837344256 is 5178.0801193525

Scales and comparisons

• 138,837,344,256 seconds is equal to 4,414 years, 31 weeks, 16 hours, 57 minutes, 36 seconds.
• To count from 1 to 138,837,344,256 would take you about eight thousand, eight hundred twenty-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 138837344256 cubic inches would be around 431.5 feet tall.

Recreational maths with 138837344256

• 138837344256 backwards is 652443738831
• The number of decimal digits it has is: 12
• The sum of 138837344256's digits is 54
• More coming soon!