40153662609421312

Names of 40153662609421312

• Cardinal: 40153662609421312 can be written as Forty quadrillion, one hundred fifty-three trillion, six hundred sixty-two billion, six hundred nine million, four hundred twenty-one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.0153662609421312 × 10¹⁶

Factors of 40153662609421312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3216

Divisors of 40153662609421312

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 343 392 448 512 574 656 686 784 896 1024 1148 1187 1312 1372 1568 1792 1979 2009 2296 2374 2624 2744 3136 3584 3958 4018 4592 4748 5248 5488 6272 7168 7916 8036 8309 9184 9496 10496 10976 12544 13853 14063 15832 16072 16618 18368 18992 20992 21952 25088 27706 28126 31664 32144 33236 36736 37984 41984 43904 48667 50176 55412 56252 58163 63328 64288 66472 73472 75968 81139 87808 96971 97334 110824 112504 116326 126656 128576 132944 146944 151936 162278 175616 193942 194668 221648 225008 232652 253312 257152 265888 293888 303872 324556 340669 351232 387884 389336 407141 443296 450016 465304 506624 514304 531776 567973 607744 649112 678797 681338 775768 778672 814282 886592 900032 930608 1013248 1028608 1063552 1135946 1215488 1298224 1357594 1362676 1408969 1551536 1557344 1628564 1773184 1800064 1861216 2026496 2057216 2127104 2271892 2349073 2384683 2596448 2715188 2725352 2817938 3103072 3114688 3257128 3546368 3600128 3722432 3975811 4254208 4543784 4698146 4769366 5192896 5430376 5450704 5635876 6206144 6229376 6514256 7092736 7200256 7444864 7951622 8508416 9087568 9396292 9538732 9862783 10385792 10860752 10901408 11271752 12412288 12458752 13028512 14185472 14400512 14889728 15903244 16443511 16692781 18175136 18792584 19077464 19725566 20771584 21721504 21802816 22543504 24824576 24917504 26057024 27830677 29779456 31806488 32887022 33385562 36350272 37585168 38154928 39451132 41543168 43443008 43605632 45087008 49649152 49835008 52114048 55661354 57767729 59558912 63612976 65774044 66771124 69039481 72700544 75170336 76309856 78902264 83086336 86886016 87211264 90174016 96311993 99298304 104228096 111322708 115104577 115535458 127225952 131548088 133542248 138078962 145401088 150340672 152619712 157804528 173772032 174422528 180348032 192623986 208456192 222645416 230209154 231070916 254451904 263096176 267084496 276157924 290802176 300681344 305239424 315609056 347544064 348845056 360696064 385247972 404374103 416912384 445290832 460418308 462141832 483276367 508903808 526192352 534168992 552315848 581604352 601362688 610478848 631218112 674183951 695088128 721392128 770495944 805732039 808748206 890581664 920836616 924283664 966552734 1017807616 1052384704 1068337984 1104631696 1202725376 1220957696 1262436224 1348367902 1442784256 1540991888 1611464078 1617496412 1781163328 1841673232 1848567328 1933105468 2035615232 2104769408 2136675968 2209263392 2405450752 2441915392 2524872448 2696735804 2788349651 2830618721 3081983776 3222928156 3234992824 3562326656 3683346464 3697134656 3866210936 4071230464 4209538816 4273351936 4418526784 4719287657 5049744896 5393471608 5576699302 5661237442 6163967552 6445856312 6469985648 7124653312 7366692928 7394269312 7732421872 8419077632 8546703872 8837053568 9438575314 10099489792 10786943216 11153398604 11322474884 12327935104 12891712624 12939971296 14249306624 14733385856 14788538624 15464843744 16838155264 17093407744 17674107136 18877150628 19518447557 19814331047 21573886432 22306797208 22644949768 24655870208 25783425248 25879942592 28498613248 29466771712 29577077248 30929687488 33035013599 35348214272 37754301256 39036895114 39628662094 43147772864 44613594416 45289899536 49311740416 51566850496 51759885184 58933543424 59154154496 61859374976 66070027198 70696428544 75508602512 78073790228 79257324188 86295545728 89227188832 90579799072 98623480832 103133700992 103519770368 114322335691 117867086848 123718749952 132140054396 136629132899 151017205024 156147580456 158514648376 172591091456 178454377664 181159598144 206267401984 207039540736 228644671382 247437499904 264280108792 273258265798 302034410048 312295160912 317029296752 345182182912 356908755328 362319196288 412534803968 414079081472 457289342764 494874999808 528560217584 546516531596 604068820096 624590321824 634058593504 690364365824 713817510656 724638392576 800256349837 825069607936 914578685528 956403930293 1057120435168 1093033063192 1208137640192 1249180643648 1268117187008 1427635021312 1449276785152 1600512699674 1829157371056 1912807860586 2114240870336 2186066126384 2416275280384 2498361287296 2536234374016 2855270042624 2898553570304 3201025399348 3658314742112 3825615721172 4228481740672 4372132252768 4832550560768 4996722574592 5072468748032 5601794448859 6402050798696 7316629484224 7651231442344 8456963481344 8744264505536 9993445149184 10144937496064 11203588897718 12804101597392 14633258968448 15302462884688 16913926962688 17488529011072 19986890298368 20289874992128 22407177795436 25608203194784 29266517936896 30604925769376 33827853925376 34977058022144 39212561142013 44814355590872 51216406389568 58533035873792 61209851538752 69954116044288 78425122284026 89628711181744 102432812779136 117066071747584 122419703077504 139908232088576 156850244568052 179257422363488 204865625558272 244839406155008 313700489136104 358514844726976 409731251116544 489678812310016 627400978272208 717029689453952 819462502233088 979357624620032 1254801956544416 1434059378907904 2509603913088832 2868118757815808 5019207826177664 5736237515631616 10038415652355328 20076831304710656 40153662609421312
• Sum of all divisors σ(n): 96019575631056000
• Sum of proper divisors (its aliquot sum) s(n): 55865913021634688
• 40153662609421312 is an abundant number, because the sum of its proper divisors (55865913021634688) is greater than itself. Its abundance is 15712250412213376

Bases of 40153662609421312

• Binary: 10001110101001111000101100011100010000111111010000000000₂
• Hexadecimal: 0x8EA78B1C43F400
• Base-36: AZDA9Y4SXDS

Squares and roots of 40153662609421312

• 40153662609421312 squared (40153662609421312²) is 1612316620951239126683423519801344
• 40153662609421312 cubed (40153662609421312³) is 64740417617238284873532205626099644210721039843328
• The square root of 40153662609421312 is 200383788.2899245719
• The cube root of 40153662609421312 is 342432.5620239917

Scales and comparisons

• 40,153,662,609,421,312 seconds is equal to 1,276,762,267 years, 28 weeks, 2 days, 19 hours, 41 minutes, 52 seconds.
• To count from 1 to 40,153,662,609,421,312 would take you about three billion, eight hundred thirty million, two hundred eighty-six thousand, eight hundred 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 40153662609421312 cubic inches would be around 28536 feet tall.

Recreational maths with 40153662609421312

• 40153662609421312 backwards is 21312490626635104
• The number of decimal digits it has is: 17
• The sum of 40153662609421312's digits is 55
• More coming soon!