814401322593392016

Names of 814401322593392016

• Cardinal: 814401322593392016 can be written as Eight hundred fourteen quadrillion, four hundred one trillion, three hundred twenty-two billion, five hundred ninety-three million, three hundred ninety-two thousand and sixteen.

Scientific notation

• Scientific notation: 8.14401322593392016 × 10¹⁷

Factors of 814401322593392016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 38473229525399

Divisors of 814401322593392016

• Number of divisors d(n): 120
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 38473229525387 76946459050774 115419688576161 153892918101548 230839377152322 269312606677709 307785836203096 346259065728483 461678754304644 538625213355418 615571672406192 692518131456966 807937820033127 923357508609288 1038777197185449 1077250426710836 1385036262913932 1615875640066254 1846715017218576 1885188246743963 2077554394370898 2154500853421672 2423813460099381 2770072525827864 3231751280132508 3770376493487926 4155108788741796 4309001706843344 4847626920198762 5540145051655728 5655564740231889 6463502560265016 7271440380298143 7540752986975852 8310217577483592 9695253840397524 11311129480463778 12927005120530032 14542880760596286 15081505973951704 16620435154967184 16966694220695667 19390507680795048 22622258960927556 29085761521192572 30163011947903408 33933388441391334 38781015361590096 45244517921855112 50900082662087001 58171523042385144 67866776882782668 90489035843710224 101800165324174002 116343046084770288 135733553765565336 203600330648348004 271467107531130672 407200661296696008 814401322593392016
• Sum of all divisors σ(n): 2719287862854423840
• Sum of proper divisors (its aliquot sum) s(n): 1904886540261031824
• 814401322593392016 is an abundant number, because the sum of its proper divisors (1904886540261031824) is greater than itself. Its abundance is 1090485217667639808

Bases of 814401322593392016

• Binary: 101101001101010101011011000000100001110010011001010110010000₂
• Hexadecimal: 0xB4D55B021C99590
• Base-36: 66QX6ANX2RO0

Squares and roots of 814401322593392016

• 814401322593392016 squared (814401322593392016²) is 663249514241866168941404388652544256
• 814401322593392016 cubed (814401322593392016³) is 540151281608000602099956752245570376803687191597060096
• The square root of 814401322593392016 is 902441866.6004985475
• The cube root of 814401322593392016 is 933855.0896488779

Scales and comparisons

• 814,401,322,593,392,016 seconds is equal to 25,895,442,949 years, 40 weeks, 3 days, 19 hours, 33 minutes, 36 seconds.
• To count from 1 to 814,401,322,593,392,016 would take you about seventy-seven billion, six hundred eighty-six million, three hundred twenty-eight thousand, eight hundred forty-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 814401322593392016 cubic inches would be around 77821.3 feet tall.

Recreational maths with 814401322593392016

• 814401322593392016 backwards is 610293395223104418
• 814401322593392016 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 814401322593392016's digits is 63
• More coming soon!