100998142944302448

Names of 100998142944302448

• Cardinal: 100998142944302448 can be written as One hundred quadrillion, nine hundred ninety-eight trillion, one hundred forty-two billion, nine hundred forty-four million, three hundred two thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.00998142944302448 × 10¹⁷

Factors of 100998142944302448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 477451322574

Divisors of 100998142944302448

• Number of divisors d(n): 120
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 113 117 144 156 208 226 234 312 339 452 468 624 678 904 936 1017 1356 1469 1808 1872 2034 2712 2938 4068 4407 5424 5876 8136 8814 11752 13221 16272 17628 23504 26442 35256 52884 70512 105768 211536 477451322443 954902644886 1432353967329 1909805289772 2864707934658 3819610579544 4297061901987 5729415869316 6206867191759 7639221159088 8594123803974 11458831738632 12413734383518 17188247607948 18620601575277 22917663477264 24827468767036 34376495215896 37241203150554 49654937534072 53951999436059 55861804725831 68752990431792 74482406301108 99309875068144 107903998872118 111723609451662 148964812602216 161855998308177 215807997744236 223447218903324 297929625204432 323711996616354 431615995488472 446894437806648 485567994924531 647423993232708 701375992668767 863231990976944 893788875613296 971135989849062 1294847986465416 1402751985337534 1942271979698124 2104127978006301 2589695972930832 2805503970675068 3884543959396248 4208255956012602 5611007941350136 6312383934018903 7769087918792496 8416511912025204 11222015882700272 12624767868037806 16833023824050408 25249535736075612 33666047648100816 50499071472151224 100998142944302448
• Sum of all divisors σ(n): 307090961180111472
• Sum of proper divisors (its aliquot sum) s(n): 206092818235809024
• 100998142944302448 is an abundant number, because the sum of its proper divisors (206092818235809024) is greater than itself. Its abundance is 105094675291506576

Bases of 100998142944302448

• Binary: 101100110110100010100011010100001001010110101010101110000₂
• Hexadecimal: 0x166D146A12B5570
• Base-36: RMGUQC69H80

Squares and roots of 100998142944302448

• 100998142944302448 squared (100998142944302448²) is 10200624878197750359810345298792704
• 100998142944302448 cubed (100998142944302448³) is 1030244169569424138532513840418287828531209831739392
• The square root of 100998142944302448 is 317802049.9372249927
• The cube root of 100998142944302448 is 465698.0965298735

Scales and comparisons

• 100,998,142,944,302,448 seconds is equal to 3,211,428,537 years, 44 weeks, 5 days, 6 hours, 40 minutes, 48 seconds.
• To count from 1 to 100,998,142,944,302,448 would take you about nine billion, six hundred thirty-four million, two hundred eighty-five thousand, six hundred thirteen 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 100998142944302448 cubic inches would be around 38808.2 feet tall.

Recreational maths with 100998142944302448

• 100998142944302448 backwards is 844203449241899001
• 100998142944302448 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 100998142944302448's digits is 72
• More coming soon!