131015998106591872

Names of 131015998106591872

• Cardinal: 131015998106591872 can be written as One hundred thirty-one quadrillion, fifteen trillion, nine hundred ninety-eight billion, one hundred six million, five hundred ninety-one thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 1.31015998106591872 × 10¹⁷

Factors of 131015998106591872

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 775

Divisors of 131015998106591872

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 289 368 391 529 544 578 733 736 782 1058 1088 1156 1466 1472 1564 2116 2176 2312 2932 2944 3128 4232 4624 4913 5864 6256 6647 8464 8993 9248 9826 11728 12461 12512 13294 16859 16928 17986 18496 19652 23456 24922 25024 26588 33718 33856 35972 36992 39304 46912 49844 50048 53176 67436 67712 71944 78608 93824 99688 106352 112999 134872 143888 152881 157216 199376 211837 212704 225998 269744 286603 287776 305762 314432 387757 398752 423674 425408 451996 537289 539488 573206 575552 611524 628864 775514 797504 847348 850816 903992 1074578 1078976 1146412 1151104 1223048 1551028 1595008 1694696 1807984 2149156 2157952 2292824 2446096 2598977 3102056 3389392 3601229 3615968 4298312 4585648 4872251 4892192 5197954 6204112 6591869 6778784 7202458 7231936 8596624 9133913 9171296 9744502 9784384 10395908 12357647 12408224 13183738 13557568 14404916 14463872 17193248 18267826 18342592 19489004 19568768 20791816 24715294 24816448 26367476 27115136 28809832 34386496 36535652 36685184 38978008 41583632 49430588 49632896 52734952 57619664 68772992 73071304 77956016 82828267 83167264 98861176 105469904 112061773 115239328 146142608 155276521 155912032 165656534 166334528 197722352 210079999 210939808 224123546 230478656 284225881 292285216 310553042 311824064 331313068 332669056 393832837 395444704 420159998 421879616 448247092 460957312 568451762 584570432 621106084 623648128 662626136 787665674 790889408 840319996 843759232 896494184 1136903524 1169140864 1242212168 1325252272 1575331348 1581778816 1680639992 1792988368 1905050141 2273807048 2484424336 2639700857 2650504544 3150662696 3361279984 3571359983 3585976736 3810100282 4547614096 4831839977 4968848672 5279401714 5301009088 6301325392 6695158229 6722559968 7142719966 7171953472 7620200564 9058155251 9095228192 9663679954 9937697344 10558803428 10602018176 12602650784 13390316458 13445119936 14285439932 14343906944 15240401128 18116310502 18190456384 19327359908 19875394688 21117606856 25205301568 26780632916 26890239872 28570879864 30480802256 36232621004 36380912768 38654719816 42235213712 50410603136 53561265832 57141759728 60713119711 60961604512 72465242008 77309439632 82141279609 84470427424 107122531664 113817689893 114283519456 121426239422 121923209024 144930484016 153988639267 154618879264 164282559218 168940854848 208337570773 214245063328 227635379786 228567038912 242852478844 243846418048 289860968032 307977278534 309237758528 328565118436 337881709696 416675141546 428490126656 455270759572 457134077824 485704957688 579721936064 615954557068 618475517056 657130236872 833350283092 856980253312 910541519144 971409915376 1159443872128 1231909114136 1314260473744 1396401753353 1666700566184 1821083038288 1934900728181 1942819830752 2463818228272 2617806867539 2628520947488 2792803506706 3333401132368 3541738703141 3642166076576 3869801456362 3885639661504 4927636456544 5235613735078 5257041894976 5585607013412 6666802264736 7083477406282 7284332153152 7739602912724 7771279323008 9855272913088 10471227470156 10514083789952 11171214026824 13333604529472 14166954812564 14568664306304 15479205825448 19710545826176 20942454940312 22342428053648 26667209058944 28333909625128 30958411650896 41884909880624 44502716748163 44684856107296 56667819250256 60209557953397 61916823301792 83769819761248 89005433496326 89369712214592 113335638500512 120419115906794 123833646603584 167539639522496 178010866992652 178739424429184 226671277001024 240838231813588 247667293207168 335079279044992 356021733985304 453342554002048 481676463627176 712043467970608 963352927254352 1023562485207749 1424086935941216 1926705854508704 2047124970415498 2848173871882432 3853411709017408 4094249940830996 5696347743764864 7706823418034816 8188499881661992 16376999763323984 32753999526647968 65507999053295936 131015998106591872
• Sum of all divisors σ(n): 290295719615538000
• Sum of proper divisors (its aliquot sum) s(n): 159279721508946128
• 131015998106591872 is an abundant number, because the sum of its proper divisors (159279721508946128) is greater than itself. Its abundance is 28263723402354256

Bases of 131015998106591872

• Binary: 111010001011101100101101100101011000010010110001010000000₂
• Hexadecimal: 0x1D1765B2B096280
• Base-36: ZU1AMMJU5J4

Squares and roots of 131015998106591872

• 131015998106591872 squared (131015998106591872²) is 17165191759866484988898339176464384
• 131015998106591872 cubed (131015998106591872³) is 2248914731109953800495677932773552571725509031886848
• The square root of 131015998106591872 is 361961321.2852885363
• The cube root of 131015998106591872 is 507895.9813821781

Scales and comparisons

• 131,015,998,106,591,872 seconds is equal to 4,165,903,480 years, 36 weeks, 2 days, 10 hours, 37 minutes, 52 seconds.
• To count from 1 to 131,015,998,106,591,872 would take you about twelve billion, four hundred ninety-seven million, seven hundred ten thousand, four hundred forty-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 131015998106591872 cubic inches would be around 42324.7 feet tall.

Recreational maths with 131015998106591872

• 131015998106591872 backwards is 278195601899510131
• The number of decimal digits it has is: 18
• The sum of 131015998106591872's digits is 76
• More coming soon!