4140133137728640

Names of 4140133137728640

• Cardinal: 4140133137728640 can be written as Four quadrillion, one hundred forty trillion, one hundred thirty-three billion, one hundred thirty-seven million, seven hundred twenty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.14013313772864 × 10¹⁵

Factors of 4140133137728640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 18430079874

Divisors of 4140133137728640

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 260 270 288 312 320 351 360 384 390 416 432 468 480 520 540 576 585 624 640 702 720 780 832 864 936 960 1040 1080 1152 1170 1248 1404 1440 1560 1664 1728 1755 1872 1920 2080 2160 2340 2496 2808 2880 3120 3456 3510 3744 4160 4320 4680 4992 5616 5760 6240 7020 7488 8320 8640 9360 11232 12480 14040 14976 17280 18720 22464 24960 28080 37440 44928 56160 74880 112320 224640 18430079851 36860159702 55290239553 73720319404 92150399255 110580479106 147440638808 165870718659 184300798510 221160958212 239591038063 276451197765 294881277616 331741437318 368601597020 442321916424 479182076126 497612155977 552902395530 589762555232 663482874636 718773114189 737203194040 829353593295 884643832848 958364152252 995224311954 1105804791060 1179525110464 1197955190315 1326965749272 1437546228378 1474406388080 1658707186590 1769287665696 1916728304504 1990448623908 2156319342567 2211609582120 2359050220928 2395910380630 2488060779885 2653931498544 2875092456756 2948812776160 3317414373180 3538575331392 3593865570945 3833456609008 3980897247816 4312638685134 4423219164240 4791820761260 4976121559770 5307862997088 5750184913512 5897625552320 6468958027701 6634828746360 7077150662784 7187731141890 7666913218016 7961794495632 8625277370268 8846438328480 9583641522520 9952243119540 10615725994176 10781596712835 11500369827024 11795251104640 12937916055402 13269657492720 14375462283780 15333826436032 15923588991264 17250554740536 17692876656960 19167283045040 19904486239080 21231451988352 21563193425670 23000739654048 25875832110804 26539314985440 28750924567560 30667652872064 31847177982528 32344790138505 34501109481072 35385753313920 38334566090080 39808972478160 43126386851340 46001479308096 51751664221608 53078629970880 57501849135120 63694355965056 64689580277010 69002218962144 76669132180160 79617944956320 86252773702680 92002958616192 103503328443216 106157259941760 115003698270240 129379160554020 138004437924288 153338264360320 159235889912640 172505547405360 207006656886432 230007396540480 258758321108040 276008875848576 318471779825280 345011094810720 414013313772864 460014793080960 517516642216080 690022189621440 828026627545728 1035033284432160 1380044379242880 2070066568864320 4140133137728640
• Sum of all divisors σ(n): 15790892417193600
• Sum of proper divisors (its aliquot sum) s(n): 11650759279464960
• 4140133137728640 is an abundant number, because the sum of its proper divisors (11650759279464960) is greater than itself. Its abundance is 7510626141736320

Bases of 4140133137728640

• Binary: 1110101101010110110111011100111111110100010010000000₂
• Hexadecimal: 0xEB56DDCFF4480
• Base-36: 14RJYWN4TC0

Squares and roots of 4140133137728640

• 4140133137728640 squared (4140133137728640²) is 17140702398118793987418276249600
• 4140133137728640 cubed (4140133137728640³) is 70964790002396386845152044631381495801708544000
• The square root of 4140133137728640 is 64343866.3566982117
• The cube root of 4140133137728640 is 160572.5986040853

Scales and comparisons

• 4,140,133,137,728,640 seconds is equal to 131,643,427 years, 26 weeks, 2 days, 14 hours, 24 minutes.
• To count from 1 to 4,140,133,137,728,640 would take you about three hundred ninety-four million, nine hundred thirty thousand, two hundred eighty-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 4140133137728640 cubic inches would be around 13381 feet tall.

Recreational maths with 4140133137728640

• 4140133137728640 backwards is 0468277313310414
• 4140133137728640 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4140133137728640's digits is 54
• More coming soon!