137788256928

Names of 137788256928

• Cardinal: 137788256928 can be written as One hundred thirty-seven billion, seven hundred eighty-eight million, two hundred fifty-six thousand, nine hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37788256928 × 10¹¹

Factors of 137788256928

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2048

Divisors of 137788256928

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 37 42 48 51 56 68 74 84 96 102 111 112 119 136 148 168 181 204 222 224 238 259 272 296 336 357 362 408 444 476 518 543 544 592 629 672 714 724 777 816 888 952 1036 1086 1184 1258 1267 1428 1448 1554 1632 1776 1801 1887 1904 2072 2172 2516 2534 2856 2896 3077 3108 3552 3602 3774 3801 3808 4144 4344 4403 5032 5068 5403 5712 5792 6154 6216 6697 7204 7548 7602 8288 8688 8806 9231 10064 10136 10806 11424 12308 12432 12607 13209 13394 14408 15096 15204 17376 17612 18462 20091 20128 20272 21539 21612 24616 24864 25214 26418 26788 28816 30192 30408 30617 35224 36924 37821 40182 40544 43078 43224 46879 49232 50428 52836 53576 57632 60384 60816 61234 64617 66637 70448 73848 75642 80364 86156 86448 91851 93758 98464 100856 105672 107152 113849 121632 122468 129234 133274 140637 140896 147696 151284 160728 172312 172896 183702 187516 199911 201712 211344 214304 214319 227698 244936 258468 266548 281274 295392 302568 321456 325981 341547 344624 367404 375032 399822 403424 422688 428638 455396 466459 489872 516936 533096 562548 605136 642912 642957 651962 683094 689248 734808 750064 796943 799644 857276 910792 932918 977943 979744 1033872 1066192 1125096 1132829 1210272 1285914 1303924 1366188 1399377 1469616 1500128 1593886 1599288 1714552 1821584 1865836 1955886 2067744 2132384 2250192 2265658 2281867 2390829 2571828 2607848 2732376 2798754 2939232 3187772 3198576 3398487 3429104 3643168 3731672 3911772 4500384 4531316 4563734 4781658 5143656 5215696 5464752 5541677 5597508 6375544 6397152 6796974 6845601 6858208 7463344 7823544 7929803 9062632 9127468 9563316 10287312 10431392 10929504 11083354 11195016 12061297 12751088 13593948 13691202 14926688 15647088 15859606 16625031 18125264 18254936 19126632 20574624 22166708 22390032 23789409 24122594 25502176 27187896 27382404 31294176 31719212 33250062 36183891 36250528 36509872 38253264 38791739 44333416 44780064 47578818 48245188 54375792 54764808 63438424 66500124 72367782 73019744 76506528 77583478 84429079 88666832 95157636 96490376 108751584 109529616 116375217 126876848 133000248 144735564 155166956 168858158 177333664 190315272 192980752 205042049 219059232 232750434 253287237 253753696 266000496 289471128 310333912 337716316 380630544 385961504 410084098 465500868 506574474 532000992 578942256 615126147 620667824 675432632 761261088 820168196 931001736 1013148948 1157884512 1230252294 1241335648 1350865264 1435294343 1640336392 1862003472 2026297896 2460504588 2701730528 2870588686 3280672784 3724006944 4052595792 4305883029 4921009176 5741177372 6561345568 8105191584 8611766058 9842018352 11482354744 17223532116 19684036704 22964709488 34447064232 45929418976 68894128464 137788256928
• Sum of all divisors σ(n): 452243990016
• Sum of proper divisors (its aliquot sum) s(n): 314455733088
• 137788256928 is an abundant number, because the sum of its proper divisors (314455733088) is greater than itself. Its abundance is 176667476160

Bases of 137788256928

• Binary: 10000000010100110100011111001010100000₂
• Hexadecimal: 0x2014D1F2A0
• Base-36: 1RARKJHC

Squares and roots of 137788256928

• 137788256928 squared (137788256928²) is 18985603747256539997184
• 137788256928 cubed (137788256928³) is 2615993247060183708260297388490752
• The square root of 137788256928 is 371198.4064189931
• The cube root of 137788256928 is 5165.0048706043

Scales and comparisons

• 137,788,256,928 seconds is equal to 4,381 years, 12 weeks, 3 days, 11 hours, 48 minutes, 48 seconds.
• To count from 1 to 137,788,256,928 would take you about eight thousand, seven hundred sixty-two 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 137788256928 cubic inches would be around 430.4 feet tall.

Recreational maths with 137788256928

• 137788256928 backwards is 829652887731
• The number of decimal digits it has is: 12
• The sum of 137788256928's digits is 66
• More coming soon!