12135246010624000

Names of 12135246010624000

• Cardinal: 12135246010624000 can be written as Twelve quadrillion, one hundred thirty-five trillion, two hundred forty-six billion, ten million, six hundred twenty-four thousand.

Scientific notation

• Scientific notation: 1.2135246010624 × 10¹⁶

Factors of 12135246010624000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 19811

Divisors of 12135246010624000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 128 160 176 200 220 242 250 256 275 320 352 400 440 484 500 512 550 605 640 704 800 880 968 1000 1024 1100 1210 1280 1375 1408 1600 1760 1936 2000 2048 2200 2420 2560 2750 2816 3025 3200 3520 3872 4000 4400 4840 5120 5500 5632 6050 6400 7040 7744 8000 8800 9680 10240 11000 11264 12100 12800 14080 15125 15488 16000 17600 19360 19793 22000 22528 24200 25600 28160 30250 30976 32000 35200 38720 39586 44000 48400 51200 56320 60500 61952 64000 70400 77440 79172 88000 96800 98965 112640 121000 123904 128000 140800 154880 158344 176000 193600 197930 217723 242000 247808 256000 281600 309760 316688 352000 387200 395860 435446 484000 494825 563200 619520 633376 704000 774400 791720 870892 968000 989650 1088615 1239040 1266752 1408000 1548800 1583440 1741784 1936000 1979300 2177230 2394953 2474125 2533504 2816000 3097600 3166880 3483568 3872000 3958600 4354460 4789906 4948250 5067008 5443075 6195200 6333760 6967136 7744000 7917200 8708920 9579812 9896500 10134016 10886150 11974765 12667520 13934272 15488000 15834400 17417840 19159624 19793000 20268032 21772300 23949530 25335040 27215375 27868544 30976000 31668800 34835680 38319248 39586000 40536064 43544600 47899060 50670080 54430750 55737088 59873825 63337600 69671360 76638496 79172000 87089200 95798120 101340160 108861500 111474176 119747650 126675200 139342720 153276992 158344000 174178400 191596240 202680320 217723000 222948352 239495300 253350400 278685440 299369125 306553984 316688000 348356800 383192480 391762849 435446000 445896704 478990600 506700800 557370880 598738250 613107968 633376000 696713600 766384960 783525698 870892000 957981200 1013401600 1114741760 1197476500 1226215936 1266752000 1393427200 1532769920 1567051396 1741784000 1915962400 1958814245 2229483520 2394953000 2452431872 2533504000 2786854400 3065539840 3134102792 3483568000 3831924800 3917628490 4309391339 4789906000 4904863744 5067008000 5573708800 6131079680 6268205584 6967136000 7663849600 7835256980 8618782678 9579812000 9794071225 11147417600 12262159360 12536411168 13934272000 15327699200 15670513960 17237565356 19159624000 19588142450 21546956695 24524318720 25072822336 27868544000 30655398400 31341027920 34475130712 38319248000 39176284900 43093913390 47403304729 48970356125 50145644672 55737088000 61310796800 62682055840 68950261424 76638496000 78352569800 86187826780 94806609458 97940712250 100291289344 107734783475 122621593600 125364111680 137900522848 153276992000 156705139600 172375653560 189613218916 195881424500 200582578688 215469566950 237016523645 250728223360 275801045696 306553984000 313410279200 344751307120 379226437832 391762849000 401165157376 430939133900 474033047290 501456446720 538673917375 551602091392 613107968000 626820558400 689502614240 758452875664 783525698000 802330314752 861878267800 948066094580 1002912893440 1077347834750 1103204182784 1185082618225 1253641116800 1379005228480 1516905751328 1567051396000 1723756535600 1896132189160 2005825786880 2154695669500 2206408365568 2370165236450 2507282233600 2758010456960 3033811502656 3134102792000 3447513071200 3792264378320 4011651573760 4309391339000 4412816731136 4740330472900 5014564467200 5516020913920 5925413091125 6067623005312 6268205584000 6895026142400 7584528756640 8618782678000 8825633462272 9480660945800 10029128934400 11032041827840 11850826182250 12135246010624 12536411168000 13790052284800 15169057513280 17237565356000 18961321891600 20058257868800 22064083655680 23701652364500 24270492021248 25072822336000 27580104569600 30338115026560 34475130712000 37922643783200 44128167311360 47403304729000 48540984042496 50145644672000 55160209139200 60676230053120 68950261424000 75845287566400 94806609458000 97081968084992 100291289344000 110320418278400 121352460106240 137900522848000 151690575132800 189613218916000 220640836556800 242704920212480 275801045696000 303381150265600 379226437832000 485409840424960 551602091392000 606762300531200 758452875664000 1103204182784000 1213524601062400 1516905751328000 2427049202124800 3033811502656000 6067623005312000 12135246010624000
• Sum of all divisors σ(n): 33287052204167580
• Sum of proper divisors (its aliquot sum) s(n): 21151806193543580
• 12135246010624000 is an abundant number, because the sum of its proper divisors (21151806193543580) is greater than itself. Its abundance is 9016560182919580

Bases of 12135246010624000

• Binary: 101011000111001111000100100011101110011010100000000000₂
• Hexadecimal: 0x2B1CF123B9A800
• Base-36: 3BHL31ZYI9S

Squares and roots of 12135246010624000

• 12135246010624000 squared (12135246010624000²) is 147264195738365707120869376000000
• 12135246010624000 cubed (12135246010624000³) is 1787087243841754309400098884078612250624000000000
• The square root of 12135246010624000 is 110160092.6407744087
• The cube root of 12135246010624000 is 229799.7375309803

Scales and comparisons

• 12,135,246,010,624,000 seconds is equal to 385,863,286 years, 18 weeks, 4 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 12,135,246,010,624,000 would take you about one billion, one hundred fifty-seven million, five hundred eighty-nine thousand, eight hundred fifty-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 12135246010624000 cubic inches would be around 19150 feet tall.

Recreational maths with 12135246010624000

• 12135246010624000 backwards is 00042601064253121
• The number of decimal digits it has is: 17
• The sum of 12135246010624000's digits is 37
• More coming soon!