82338888948609517

Names of 82338888948609517

• Cardinal: 82338888948609517 can be written as Eighty-two quadrillion, three hundred thirty-eight trillion, eight hundred eighty-eight billion, nine hundred forty-eight million, six hundred nine thousand, five hundred seventeen.

Scientific notation

• Scientific notation: 8.2338888948609517 × 10¹⁶

Factors of 82338888948609517

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 6506

Divisors of 82338888948609517

• Number of divisors d(n): 144
• Complete list of divisors:
  1 7 19 29 49 133 203 343 361 551 841 931 1421 2527 3857 5887 6451 6517 6859 9947 10469 15979 17689 26999 41209 45157 48013 73283 111853 122569 123823 187079 188993 198911 288463 303601 316099 336091 512981 782971 857983 1309553 1392377 2125207 2212693 2328811 2352637 3554501 3590867 5425291 5480797 5768419 6005881 9166871 9746639 14876449 16301677 24881507 37977037 40378933 41615401 42041167 44247409 64168097 67535519 68226473 103080529 104135143 114111739 174170549 265839259 282652531 291307807 309731863 472748633 721563703 790692619 798782173 1206846629 1219193843 1283174861 1860874813 1958530051 1978567717 2039154649 2168123041 3309240431 5050945921 5534848333 8447926403 8982224027 13709710357 14274082543 15023159761 15176861287 22930085951 23164683017 34998552241 35356621447 37212070969 38743938331 59135484821 62875568189 95967972499 105162118327 160510601657 244989865687 260484496783 271207568317 285440035459 413948393747 435671633069 440128977323 664972492579 671775807493 736134828289 1123574211599 1714929059809 1823391477481 1998080248213 3049701431483 4654807448053 5152943798023 7865019481193 8277761028311 12004503418663 12634477359001 12763740342367 13986561737491 21347910020381 32583652136371 57944327198177 88441341513007 97905932162437 149435370142667 228085564954597 240055069821019 405610290387239 619089390591049 1680385488747133 2839272032710673 4333625734137343 11762698421229931 82338888948609517
• Sum of all divisors σ(n): 104987627956848000
• Sum of proper divisors (its aliquot sum) s(n): 22648739008238483
• 82338888948609517 is a deficient number, because the sum of its proper divisors (22648739008238483) is less than itself. Its deficiency is 59690149940371034

Bases of 82338888948609517

• Binary: 100100100100001101100100010000010111110110111000111101101₂
• Hexadecimal: 0x12486C882FB71ED
• Base-36: MIQP7E0W0DP

Squares and roots of 82338888948609517

• 82338888948609517 squared (82338888948609517²) is 6779692633291450451854207742973289
• 82338888948609517 cubed (82338888948609517³) is 558232358838290764387833937040262191442183822191413
• The square root of 82338888948609517 is 286947536.9272395707
• The cube root of 82338888948609517 is 435045.8205991635

Scales and comparisons

• 82,338,888,948,609,517 seconds is equal to 2,618,121,977 years, 34 weeks, 2 days, 3 hours, 58 minutes, 37 seconds.
• To count from 1 to 82,338,888,948,609,517 would take you about seven billion, eight hundred fifty-four million, three hundred sixty-five thousand, nine hundred thirty-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 82338888948609517 cubic inches would be around 36253.8 feet tall.

Recreational maths with 82338888948609517

• 82338888948609517 backwards is 71590684988883328
• The number of decimal digits it has is: 17
• The sum of 82338888948609517's digits is 97
• More coming soon!