45922971907616400

Names of 45922971907616400

• Cardinal: 45922971907616400 can be written as Forty-five quadrillion, nine hundred twenty-two trillion, nine hundred seventy-one billion, nine hundred seven million, six hundred sixteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.59229719076164 × 10¹⁶

Factors of 45922971907616400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 32962225080

Divisors of 45922971907616400

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 43 45 48 50 54 60 72 75 80 81 86 90 100 108 120 129 135 144 150 162 172 180 200 215 216 225 240 258 270 300 324 344 360 387 400 405 430 432 450 516 540 600 645 648 675 688 720 774 810 860 900 1032 1075 1080 1161 1200 1290 1296 1350 1548 1620 1720 1800 1935 2025 2064 2150 2160 2322 2580 2700 3096 3225 3240 3440 3483 3600 3870 4050 4300 4644 5160 5400 5805 6192 6450 6480 6966 7740 8100 8600 9288 9675 10320 10800 11610 12900 13932 15480 16200 17200 17415 18576 19350 23220 25800 27864 29025 30960 32400 34830 38700 46440 51600 55728 58050 69660 77400 87075 92880 116100 139320 154800 174150 232200 278640 348300 464400 696600 1393200 32962225027 65924450054 98886675081 131848900108 164811125135 197773350162 263697800216 296660025243 329622250270 395546700324 494433375405 527395600432 593320050486 659244500540 791093400648 824055625675 889980075729 988866750810 1186640100972 1318489001080 1417375676161 1483300126215 1582186801296 1648111251350 1779960151458 1977733501620 2373280201944 2472166877025 2636978002160 2669940227187 2834751352322 2966600252430 3296222502700 3559920302916 3955467003240 4252127028483 4449900378645 4746560403888 4944333754050 5339880454374 5669502704644 5933200504860 6592445005400 7086878380805 7119840605832 7416500631075 7910934006480 8504254056966 8899800757290 9888667508100 10679760908748 11339005409288 11866401009720 12756381085449 13184890010800 13349701135935 14173756761610 14239681211664 14833001262150 17008508113932 17799601514580 19777335016200 21260635142415 21359521817496 22249501893225 22678010818576 23732802019440 25512762170898 26699402271870 28347513523220 29666002524300 34017016227864 35434391904025 35599203029160 38269143256347 39554670032400 42521270284830 42719043634992 44499003786450 51025524341796 53398804543740 56695027046440 59332005048600 63781905427245 66748505679675 68034032455728 70868783808050 71198406058320 76538286512694 85042540569660 88998007572900 102051048683592 106303175712075 106797609087480 113390054092880 114807429769041 118664010097200 127563810854490 133497011359350 141737567616100 153076573025388 170085081139320 177996015145800 191345716281735 204102097367184 212606351424150 213595218174960 229614859538082 255127621708980 266994022718700 283475135232200 306153146050776 318909527136225 340170162278640 355992030291600 382691432563470 425212702848300 459229719076164 510255243417960 533988045437400 566950270464400 574037148845205 612306292101552 637819054272450 765382865126940 850425405696600 918459438152328 956728581408675 1020510486835920 1067976090874800 1148074297690410 1275638108544900 1530765730253880 1700850811393200 1836918876304656 1913457162817350 2296148595380820 2551276217089800 2870185744226025 3061531460507760 3826914325634700 4592297190761640 5102552434179600 5740371488452050 7653828651269400 9184594381523280 11480742976904100 15307657302538800 22961485953808200 45922971907616400
• Sum of all divisors σ(n): 168646741493158192
• Sum of proper divisors (its aliquot sum) s(n): 122723769585541792
• 45922971907616400 is an abundant number, because the sum of its proper divisors (122723769585541792) is greater than itself. Its abundance is 76800797677925392

Bases of 45922971907616400

• Binary: 10100011001001101011001100011011100101010110111010010000₂
• Hexadecimal: 0xA326B31B956E90
• Base-36: CK6C21TSP00

Squares and roots of 45922971907616400

• 45922971907616400 squared (45922971907616400²) is 2108919348827725056416329548960000
• 45922971907616400 cubed (45922971907616400³) is 96847844011644289035144501697719086600698944000000
• The square root of 45922971907616400 is 214296457.9912985869
• The cube root of 45922971907616400 is 358104.6787396503

Scales and comparisons

• 45,922,971,907,616,400 seconds is equal to 1,460,208,457 years, 30 weeks, 2 days, 9 hours.
• To count from 1 to 45,922,971,907,616,400 would take you about four billion, three hundred eighty million, six hundred twenty-five thousand, three hundred seventy-two 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 45922971907616400 cubic inches would be around 29842.1 feet tall.

Recreational maths with 45922971907616400

• 45922971907616400 backwards is 00461670917922954
• 45922971907616400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45922971907616400's digits is 72
• More coming soon!