12135766814848800

Names of 12135766814848800

• Cardinal: 12135766814848800 can be written as Twelve quadrillion, one hundred thirty-five trillion, seven hundred sixty-six billion, eight hundred fourteen million, eight hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.21357668148488 × 10¹⁶

Factors of 12135766814848800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 144263

Divisors of 12135766814848800

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 243 270 288 300 324 360 400 405 432 450 480 486 540 600 648 675 720 729 800 810 864 900 972 1080 1200 1215 1296 1350 1440 1458 1620 1800 1944 2025 2160 2400 2430 2592 2700 2916 3240 3600 3645 3888 4050 4320 4860 5400 5832 6075 6480 7200 7290 7776 8100 9720 10800 11664 12150 12960 14580 16200 18225 19440 21600 23328 24300 29160 32400 36450 38880 48600 58320 64800 72900 97200 116640 144253 145800 194400 288506 291600 432759 577012 583200 721265 865518 1154024 1298277 1442530 1731036 2163795 2308048 2596554 2885060 3462072 3606325 3894831 4327590 4616096 5193108 5770120 6491385 6924144 7212650 7789662 8655180 10386216 10818975 11540240 11684493 12982770 13848288 14425300 15579324 17310360 19474155 20772432 21637950 23080480 23368986 25965540 28850600 31158648 32456925 34620720 35053479 38948310 41544864 43275900 46737972 51931080 57701200 58422465 62317296 64913850 69241440 70106958 77896620 86551800 93475944 97370775 103862160 105160437 115402400 116844930 124634592 129827700 140213916 155793240 173103600 175267395 186951888 194741550 207724320 210320874 233689860 259655400 280427832 292112325 311586480 346207200 350534790 373903776 389483100 420641748 467379720 519310800 525802185 560855664 584224650 623172960 701069580 778966200 841283496 876336975 934759440 1038621600 1051604370 1121711328 1168449300 1402139160 1557932400 1682566992 1752673950 1869518880 2103208740 2336898600 2629010925 2804278320 3115864800 3365133984 3505347900 4206417480 4673797200 5258021850 5608556640 7010695800 8412834960 9347594400 10516043700 14021391600 16825669920 20808928009 21032087400 28042783200 41617856018 42064174800 62426784027 83235712036 84128349600 104044640045 124853568054 166471424072 187280352081 208089280090 249707136108 312133920135 332942848144 374560704162 416178560180 499414272216 520223200225 561841056243 624267840270 665885696288 749121408324 832357120360 936401760405 998828544432 1040446400450 1123682112486 1248535680540 1498242816648 1560669600675 1664714240720 1685523168729 1872803520810 1997657088864 2080892800900 2247364224972 2497071361080 2809205281215 2996485633296 3121339201350 3329428481440 3371046337458 3745607041620 4161785601800 4494728449944 4682008802025 4994142722160 5056569506187 5618410562430 5992971266592 6242678402700 6742092674916 7491214083240 8323571203600 8427615843645 8989456899888 9364017604050 9988285444320 10113139012374 11236821124860 12485356805400 13484185349832 14046026406075 14982428166480 15169708518561 16647142407200 16855231687290 17978913799776 18728035208100 20226278024748 22473642249720 24970713610800 25282847530935 26968370699664 28092052812150 29964856332960 30339417037122 33710463374580 37456070416200 40452556049496 42138079218225 44947284499440 49941427221600 50565695061870 53936741399328 56184105624300 60678834074244 67420926749160 74912140832400 75848542592805 80905112098992 84276158436450 89894568998880 101131390123740 112368211248600 121357668148488 126414237654675 134841853498320 149824281664800 151697085185610 161810224197984 168552316872900 202262780247480 224736422497200 242715336296976 252828475309350 269683706996640 303394170371220 337104633745800 379242712964025 404525560494960 449472844994400 485430672593952 505656950618700 606788340742440 674209267491600 758485425928050 809051120989920 1011313901237400 1213576681484880 1348418534983200 1516970851856100 2022627802474800 2427153362969760 3033941703712200 4045255604949600 6067883407424400 12135766814848800
• Sum of all divisors σ(n): 44419649115695427
• Sum of proper divisors (its aliquot sum) s(n): 32283882300846627
• 12135766814848800 is an abundant number, because the sum of its proper divisors (32283882300846627) is greater than itself. Its abundance is 20148115485997827

Bases of 12135766814848800

• Binary: 101011000111010110101001100110000100110111011100100000₂
• Hexadecimal: 0x2B1D6A66137720
• Base-36: 3BHRQB5CI00

Squares and roots of 12135766814848800

• 12135766814848800 squared (12135766814848800²) is 147276836184385388340166861440000
• 12135766814848800 cubed (12135766814848800³) is 1787317341162387159358405857909221884150272000000
• The square root of 12135766814848800 is 110162456.4670232835
• The cube root of 12135766814848800 is 229803.0248963399

Scales and comparisons

• 12,135,766,814,848,800 seconds is equal to 385,879,846 years, 16 weeks, 4 days, 18 hours.
• To count from 1 to 12,135,766,814,848,800 would take you about one billion, one hundred fifty-seven million, six hundred thirty-nine thousand, five hundred thirty-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 12135766814848800 cubic inches would be around 19150.3 feet tall.

Recreational maths with 12135766814848800

• 12135766814848800 backwards is 00884841866753121
• 12135766814848800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12135766814848800's digits is 72
• More coming soon!