12135832631188640

Names of 12135832631188640

• Cardinal: 12135832631188640 can be written as Twelve quadrillion, one hundred thirty-five trillion, eight hundred thirty-two billion, six hundred thirty-one million, one hundred eighty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.213583263118864 × 10¹⁶

Factors of 12135832631188640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 549069

Divisors of 12135832631188640

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 121 160 176 202 220 242 352 404 440 484 505 605 808 880 968 1010 1111 1210 1616 1760 1936 2020 2222 2420 3232 3872 4040 4444 4840 5555 8080 8888 9680 11110 11549 12221 16160 17776 19360 22220 23098 24442 35552 44440 46196 48884 57745 61105 88880 92392 97768 115490 122210 127039 177760 184784 195536 230980 244420 254078 369568 391072 461960 488840 508156 537401 635195 923920 977680 1016312 1074802 1166449 1270390 1397429 1847840 1955360 2032624 2149604 2332898 2540780 2687005 2794858 4065248 4299208 4665796 5081560 5374010 5589716 5832245 5911411 6987145 8598416 9331592 10163120 10748020 11179432 11664490 11822822 12830939 13974290 17196832 18663184 20326240 21496040 22358864 23328980 23645644 25661878 27948580 29557055 37326368 42992080 44717728 46657960 47291288 51323756 54277501 55897160 59114110 64154695 65025521 85984160 93315920 94582576 102647512 108555002 111794320 118228220 128309390 130051042 141140329 186631840 189165152 205295024 217110004 223588640 236456440 256618780 260102084 271387505 282280658 325127605 410590048 434220008 472912880 513237560 520204168 542775010 564561316 597052511 650255210 705701645 868440016 945825760 1026475120 1040408336 1085550020 1129122632 1194105022 1300510420 1411403290 1736880032 2052950240 2080816672 2171100040 2258245264 2388210044 2601020840 2822806580 2985262555 4342200080 4516490528 4776420088 5202041680 5645613160 5970525110 6206444149 6567577621 8684400160 9552840176 10404083360 11291226320 11941050220 12412888298 13135155242 19105680352 22582452640 23882100440 24825776596 26270310484 31032220745 32837888105 47764200880 49651553192 52540620968 62064441490 65675776210 68270885639 95528401760 99303106384 105081241936 124128882980 131351552420 136541771278 198606212768 210162483872 248257765960 262703104840 273083542556 341354428195 496515531920 525406209680 546167085112 626850859049 682708856390 750979742029 993031063840 1050812419360 1092334170224 1253701718098 1365417712780 1501959484058 2184668340448 2507403436196 2730835425560 3003918968116 3134254295245 3754898710145 5014806872392 5461670851120 6007837936232 6268508590490 6895359449539 7509797420290 10029613744784 10923341702240 12015675872464 12537017180980 13790718899078 15019594840580 20059227489568 24031351744928 25074034361960 27581437798156 30039189681160 34476797247695 50148068723920 55162875596312 60078379362320 68953594495390 75848953944929 100296137447840 110325751192624 120156758724640 137907188990780 151697907889858 220651502385248 275814377981560 303395815779716 379244769724645 551628755963120 606791631559432 758489539449290 1103257511926240 1213583263118864 1516979078898580 2427166526237728 3033958157797160 6067916315594320 12135832631188640
• Sum of all divisors σ(n): 31829137853158800
• Sum of proper divisors (its aliquot sum) s(n): 19693305221970160
• 12135832631188640 is an abundant number, because the sum of its proper divisors (19693305221970160) is greater than itself. Its abundance is 7557472590781520

Bases of 12135832631188640

• Binary: 101011000111010111100110111001000010010001110010100000₂
• Hexadecimal: 0x2B1D79B9091CA0
• Base-36: 3BHSKJMP2U8

Squares and roots of 12135832631188640

• 12135832631188640 squared (12135832631188640²) is 147278433652222989096059265049600
• 12135832631188640 cubed (12135832631188640³) is 1787346420986998860484468566961894133256556544000
• The square root of 12135832631188640 is 110162755.1906207545
• The cube root of 12135832631188640 is 229803.4403285873

Scales and comparisons

• 12,135,832,631,188,640 seconds is equal to 385,881,939 years, 3 weeks, 6 days, 22 hours, 37 minutes, 20 seconds.
• To count from 1 to 12,135,832,631,188,640 would take you about one billion, one hundred fifty-seven million, six hundred forty-five thousand, eight hundred seventeen 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 12135832631188640 cubic inches would be around 19150.3 feet tall.

Recreational maths with 12135832631188640

• 12135832631188640 backwards is 04688113623853121
• The number of decimal digits it has is: 17
• The sum of 12135832631188640's digits is 62
• More coming soon!