13937848352768000

Names of 13937848352768000

• Cardinal: 13937848352768000 can be written as Thirteen quadrillion, nine hundred thirty-seven trillion, eight hundred forty-eight billion, three hundred fifty-two million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.3937848352768 × 10¹⁶

Factors of 13937848352768000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 31
• Sum of prime factors: 1296

Divisors of 13937848352768000

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1289 1600 2000 2048 2560 2578 3200 4000 4096 5120 5156 6400 6445 8000 8192 10240 10312 12800 12890 16000 16384 20480 20624 25600 25780 32000 32225 32768 40960 41248 51200 51560 64000 64450 65536 81920 82496 102400 103120 128000 128900 131072 161125 163840 164992 204800 206240 256000 257800 262144 322250 327680 329984 409600 412480 512000 515600 524288 644500 655360 659968 819200 824960 1024000 1031200 1048576 1289000 1310720 1319936 1638400 1649920 1661521 2048000 2062400 2097152 2578000 2621440 2639872 3276800 3299840 3323042 4096000 4124800 4194304 5156000 5242880 5279744 6553600 6599680 6646084 8192000 8249600 8307605 8388608 10312000 10485760 10559488 13107200 13199360 13292168 16384000 16499200 16615210 16777216 20624000 20971520 21118976 26214400 26398720 26584336 32768000 32998400 33230420 33554432 41248000 41538025 41943040 42237952 52428800 52797440 53168672 65536000 65996800 66460840 67108864 82496000 83076050 83886080 84475904 104857600 105594880 106337344 131072000 131993600 132921680 164992000 166152100 167772160 168951808 207690125 209715200 211189760 212674688 262144000 263987200 265843360 329984000 332304200 335544320 337903616 415380250 419430400 422379520 425349376 524288000 527974400 531686720 659968000 664608400 675807232 830760500 838860800 844759040 850698752 1048576000 1055948800 1063373440 1319936000 1329216800 1351614464 1661521000 1677721600 1689518080 1701397504 2097152000 2111897600 2126746880 2639872000 2658433600 2703228928 3323042000 3379036160 3402795008 4194304000 4223795200 4253493760 5279744000 5316867200 5406457856 6646084000 6758072320 6805590016 8388608000 8447590400 8506987520 10559488000 10633734400 10812915712 13292168000 13516144640 13611180032 16895180800 17013975040 21118976000 21267468800 21625831424 26584336000 27032289280 27222360064 33790361600 34027950080 42237952000 42534937600 43251662848 53168672000 54064578560 54444720128 67580723200 68055900160 84475904000 85069875200 86503325696 106337344000 108129157120 108889440256 135161446400 136111800320 168951808000 170139750400 212674688000 216258314240 217778880512 270322892800 272223600640 337903616000 340279500800 425349376000 432516628480 435557761024 540645785600 544447201280 675807232000 680559001600 850698752000 871115522048 1081291571200 1088894402560 1351614464000 1361118003200 1701397504000 1742231044096 2162583142400 2177788805120 2703228928000 2722236006400 3402795008000 3484462088192 4355577610240 5406457856000 5444472012800 6805590016000 6968924176384 8711155220480 10812915712000 10888944025600 13611180032000 13937848352768 17422310440960 21777888051200 27222360064000 27875696705536 34844620881920 43555776102400 54444720128000 55751393411072 69689241763840 87111552204800 108889440256000 111502786822144 139378483527680 174223104409600 217778880512000 278756967055360 348446208819200 435557761024000 557513934110720 696892417638400 871115522048000 1393784835276800 1742231044096000 2787569670553600 3484462088192000 6968924176384000 13937848352768000
• Sum of all divisors σ(n): 34815879204693132
• Sum of proper divisors (its aliquot sum) s(n): 20878030851925132
• 13937848352768000 is an abundant number, because the sum of its proper divisors (20878030851925132) is greater than itself. Its abundance is 6940182499157132

Bases of 13937848352768000

• Binary: 110001100001000110011000110100000000000000000000000000₂
• Hexadecimal: 0x31846634000000
• Base-36: 3T8JZ50NOJK

Squares and roots of 13937848352768000

• 13937848352768000 squared (13937848352768000²) is 194263616704757650973261824000000
• 13937848352768000 cubed (13937848352768000³) is 2707616830091160553806322385650379128832000000000
• The square root of 13937848352768000 is 118058664.8779664965
• The cube root of 13937848352768000 is 240657.0442130029

Scales and comparisons

• 13,937,848,352,768,000 seconds is equal to 443,180,465 years, 1 week, 1 day, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 13,937,848,352,768,000 would take you about one billion, three hundred twenty-nine million, five hundred forty-one thousand, three hundred ninety-five 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 13937848352768000 cubic inches would be around 20054.8 feet tall.

Recreational maths with 13937848352768000

• 13937848352768000 backwards is 00086725384873931
• The number of decimal digits it has is: 17
• The sum of 13937848352768000's digits is 74
• More coming soon!