820074556196840997

Names of 820074556196840997

• Cardinal: 820074556196840997 can be written as Eight hundred twenty quadrillion, seventy-four trillion, five hundred fifty-six billion, one hundred ninety-six million, eight hundred forty thousand, nine hundred ninety-seven.

Scientific notation

• Scientific notation: 8.20074556196840997 × 10¹⁷

Factors of 820074556196840997

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 59

Divisors of 820074556196840997

• Number of divisors d(n): 308
• Complete list of divisors:
  1 3 9 13 27 39 43 81 117 129 169 243 351 387 507 559 729 1053 1161 1521 1677 1849 2187 2197 3159 3483 4563 5031 5547 6561 6591 7267 9477 10449 13689 15093 16641 19683 19773 21801 24037 28431 31347 41067 45279 49923 59049 59319 65403 72111 79507 85293 94041 94471 123201 135837 149769 177957 196209 216333 238521 255879 282123 283413 312481 369603 407511 449307 533871 588627 648999 715563 767637 846369 850239 937443 1033591 1108809 1222533 1347921 1601613 1765881 1946997 2146689 2539107 2550717 2812329 3100773 3326427 3418801 3667599 4043763 4062253 4804839 5297643 5840991 6440067 7652151 8436987 9302319 9979281 10256403 11002797 12131289 12186759 13436683 14414517 15892929 17522973 19320201 22956453 25310961 27906957 30769209 33008391 36393867 36560277 40310049 43243551 44444413 47678787 52568919 57960603 68869359 75932883 83720871 92307627 109181601 109680831 120930147 129730653 133333239 143036361 147008443 157706757 173881809 174676879 206608077 227798649 251162613 276922881 329042493 362790441 399999717 429109083 441025329 473120271 521645427 524030637 577777369 619824231 683395947 753487839 830768643 987127479 1088371323 1199999151 1323075987 1419360813 1564936281 1572091911 1733332107 1859472693 1911109759 2050187841 2260463517 2492305929 2961382437 3265113969 3599997453 3969227961 4694808843 4716275733 5199996321 5578418079 5733329277 6150563523 6321363049 6781390551 7476917787 7511105797 8884147311 9795341907 10799992359 11907683883 14148827199 15599988963 17199987831 18451690569 18964089147 20344171653 22430753361 22533317391 24844426867 26652441933 29386025721 32399977077 35723051649 42446481597 46799966889 51599963493 56892267441 61032514959 67292260083 67599952173 74533280601 79957325799 82177719637 88158077163 97199931231 107169154947 127339444791 140399900667 154799890479 170676802323 201876780249 202799856519 223599841803 239871977397 246533158911 264474231489 291599793693 321507464841 322977549271 382018334373 421199702001 464399671437 512030406969 608399569557 670799525409 739599476733 793422694467 874799381079 964522394523 968932647813 1068310355281 1146055003119 1263599106003 1393199014311 1536091220907 1825198708671 2012398576227 2218798430199 2624398143237 2893567183569 2906797943439 3204931065843 3438165009357 3790797318009 4179597042933 4608273662721 5475596126013 6037195728681 6656395290597 8680701550707 8720393830317 9614793197529 10314495028071 11372391954027 12538791128799 13824820988163 13888034618653 16426788378039 18111587186043 19969185871791 26161181490951 28844379592587 34117175862081 37616373386397 41474462964489 41664103855959 49280365134117 54334761558129 59907557615373 78483544472853 86533138777761 112849120159191 124423388893467 124992311567877 147841095402351 163004284674387 179722672846119 235450633418559 259599416333283 373270166680401 374976934703631 443523286207053 489012854023161 539168018538357 706351900255677 778798248999849 1124930804110893 1467038562069483 1617504055615071 2119055700767031 2336394746999547 3374792412332679 4852512166845213 6357167102301093 7009184240998641 10124377236998037 19071501306903279 21027552722995923 30373131710994111 63082658168987769 91119395132982333 273358185398946999 820074556196840997
• Sum of all divisors σ(n): 1364294757684531820
• Sum of proper divisors (its aliquot sum) s(n): 544220201487690823
• 820074556196840997 is a deficient number, because the sum of its proper divisors (544220201487690823) is less than itself. Its deficiency is 275854354709150174

Bases of 820074556196840997

• Binary: 101101100001011111010111011011000011011100101110011000100101₂
• Hexadecimal: 0xB617D76C372E625
• Base-36: 68AS627A0PB9

Squares and roots of 820074556196840997

• 820074556196840997 squared (820074556196840997²) is 672522277721445722473491042099954009
• 820074556196840997 cubed (820074556196840997³) is 551518408434903248186947652413164374348618924785706973
• The square root of 820074556196840997 is 905579679.6510183383
• The cube root of 820074556196840997 is 936018.5288799377
• Being both a perfect square and a perfect cube, 820074556196840997 is also a perfect sixth number.

Scales and comparisons

• 820,074,556,196,840,997 seconds is equal to 26,075,834,229 years, 47 weeks, 15 hours, 49 minutes, 57 seconds.
• To count from 1 to 820,074,556,196,840,997 would take you about seventy-eight billion, two hundred twenty-seven million, five hundred two thousand, six hundred eighty-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 820074556196840997 cubic inches would be around 78001.5 feet tall.

Recreational maths with 820074556196840997

• 820074556196840997 backwards is 799048691655470028
• The number of decimal digits it has is: 18
• The sum of 820074556196840997's digits is 90
• More coming soon!