830947538441212800

Names of 830947538441212800

• Cardinal: 830947538441212800 can be written as Eight hundred thirty quadrillion, nine hundred forty-seven trillion, five hundred thirty-eight billion, four hundred forty-one million, two hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 8.309475384412128 × 10¹⁷

Factors of 830947538441212800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 623

Divisors of 830947538441212800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 613 640 800 960 1200 1226 1600 1839 1920 2400 2452 3065 3200 3678 4800 4904 6130 7356 9195 9600 9808 12260 14712 15325 18390 19616 24520 29424 30650 36780 39232 45975 49040 58848 61300 73560 78464 91950 98080 117696 122600 147120 183900 196160 235392 245200 294240 367800 375769 392320 490400 588480 735600 751538 980800 1127307 1176960 1471200 1503076 1878845 1961600 2254614 2942400 3006152 3757690 4509228 5636535 5884800 6012304 7515380 9018456 9394225 11273070 12024608 15030760 18036912 18788450 22546140 24049216 28182675 30061520 36073824 37576900 45092280 48098432 56365350 60123040 72147648 75153800 90184560 112730700 120246080 144295296 150307600 180369120 225461400 230346397 240492160 300615200 360738240 450922800 460692794 601230400 691039191 721476480 901845600 921385588 1151731985 1202460800 1382078382 1803691200 1842771176 2303463970 2764156764 3455195955 3607382400 3685542352 4606927940 5528313528 5758659925 6910391910 7371084704 9213855880 11056627056 11517319850 13820783820 14742169408 17275979775 18427711760 22113254112 23034639700 27641567640 29484338816 34551959550 36855423520 44226508224 46069279400 55283135280 69103919100 73710847040 88453016448 92138558800 110566270560 138207838200 141202341361 147421694080 184277117600 221132541120 276415676400 282404682722 368554235200 423607024083 442265082240 552831352800 564809365444 706011706805 737108470400 847214048166 1105662705600 1129618730888 1412023413610 1694428096332 2118035120415 2211325411200 2259237461776 2824046827220 3388856192664 3530058534025 4236070240830 4518474923552 5648093654440 6777712385328 7060117068050 8472140481660 9036949847104 10590175602075 11296187308880 13555424770656 14120234136100 16944280963320 18073899694208 21180351204150 22592374617760 27110849541312 28240468272200 33888561926640 42360702408300 45184749235520 54221699082624 56480936544400 67777123853280 84721404816600 86557035254293 90369498471040 112961873088800 135554247706560 169442809633200 173114070508586 225923746177600 259671105762879 271108495413120 338885619266400 346228141017172 432785176271465 451847492355200 519342211525758 677771238532800 692456282034344 865570352542930 1038684423051516 1298355528814395 1355542477065600 1384912564068688 1731140705085860 2077368846103032 2163925881357325 2596711057628790 2769825128137376 3462281410171720 4154737692206064 4327851762714650 5193422115257580 5539650256274752 6491777644071975 6924562820343440 8309475384412128 8655703525429300 10386844230515160 11079300512549504 12983555288143950 13849125640686880 16618950768824256 17311407050858600 20773688461030320 25967110576287900 27698251281373760 33237901537648512 34622814101717200 41547376922060640 51934221152575800 55396502562747520 69245628203434400 83094753844121280 103868442305151600 138491256406868800 166189507688242560 207736884610303200 276982512813737600 415473769220606400 830947538441212800
• Sum of all divisors σ(n): 2741405568228883080
• Sum of proper divisors (its aliquot sum) s(n): 1910458029787670280
• 830947538441212800 is an abundant number, because the sum of its proper divisors (1910458029787670280) is greater than itself. Its abundance is 1079510491346457480

Bases of 830947538441212800

• Binary: 101110001000000111100110001000110111110001100001001110000000₂
• Hexadecimal: 0xB881E6237C61380
• Base-36: 6B9UBHAE8I2O

Squares and roots of 830947538441212800

• 830947538441212800 squared (830947538441212800²) is 690473811641510823982841534883840000
• 830947538441212800 cubed (830947538441212800³) is 573747514141635041549917114535644629548316721152000000
• The square root of 830947538441212800 is 911563238.8601532455
• The cube root of 830947538441212800 is 940137.1229119663

Scales and comparisons

• 830,947,538,441,212,800 seconds is equal to 26,421,561,432 years, 48 weeks, 4 days, 2 hours, 40 minutes.
• To count from 1 to 830,947,538,441,212,800 would take you about seventy-nine billion, two hundred sixty-four million, six hundred eighty-four thousand, two hundred ninety-eight 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 830947538441212800 cubic inches would be around 78344.8 feet tall.

Recreational maths with 830947538441212800

• 830947538441212800 backwards is 008212144835749038
• The number of decimal digits it has is: 18
• The sum of 830947538441212800's digits is 69
• More coming soon!