442431362957976493968

Names of 442431362957976493968

• Cardinal: 442431362957976493968 can be written as Four hundred forty-two quintillion, four hundred thirty-one quadrillion, three hundred sixty-two trillion, nine hundred fifty-seven billion, nine hundred seventy-six million, four hundred ninety-three thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.42431362957976493968 × 10²⁰

Factors of 442431362957976493968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 9731339

Divisors of 442431362957976493968

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 6037 12074 18111 24148 36222 48296 72444 96592 144888 289776 404479 808958 1213437 1617916 2426874 3235832 3936929 4853748 5788301 6471664 7873858 9707496 11576602 11810787 15747716 17364903 19414992 23153204 23621574 31495432 34729806 46306408 47243148 62990864 69459612 92612816 94486296 138919224 188972592 263774243 277838448 387816167 527548486 775632334 791322729 1055096972 1163448501 1551264668 1582645458 2110193944 2326897002 3102529336 3165290916 4220387888 4653794004 6205058672 6330581832 9307588008 12661163664 18615176016 23767240373 34943973137 47534480746 69887946274 71301721119 95068961492 104831919411 139775892548 142603442238 190137922984 209663838822 279551785096 285206884476 380275845968 419327677644 559103570192 570413768952 838655355288 1140827537904 1592405104991 1677310710576 2341246200179 3184810209982 4682492400358 4777215314973 6369620419964 7023738600537 9364984800716 9554430629946 12739240839928 14047477201074 18729969601432 19108861259892 22788130067629 25478481679856 28094954402148 37459939202864 38217722519784 45576260135258 56189908804296 68364390202887 76435445039568 91152520270516 112379817608592 136728780405774 182305040541032 273457560811548 364610081082064 546915121623096 1093830243246192 1526804714531143 3053609429062286 4580414143593429 6107218858124572 9160828287186858 12214437716249144 18321656574373716 24428875432498288 36643313148747432 73286626297494864 137571941218276273 275143882436552546 412715823654828819 550287764873105092 825431647309657638 1100575529746210184 1650863294619315276 2201151059492420368 3301726589238630552 6603453178477261104 9217320061624510291 18434640123249020582 27651960184873530873 36869280246498041164 55303920369747061746 73738560492996082328 110607840739494123492 147477120985992164656 221215681478988246984 442431362957976493968
• Sum of all divisors σ(n): 1160199253000242149760
• Sum of proper divisors (its aliquot sum) s(n): 717767890042265655792
• 442431362957976493968 is an abundant number, because the sum of its proper divisors (717767890042265655792) is greater than itself. Its abundance is 275336527084289161824

Bases of 442431362957976493968

• Binary: 101111111101111110111111101001000001000101010000110110101111110010000₂
• Hexadecimal: 0x17FBF7F4822A1B5F90
• Base-36: 2LDDWCW27JXG9C

Squares and roots of 442431362957976493968

• 442431362957976493968 squared (442431362957976493968²) is 195745510928852734898213011827221540385024
• 442431362957976493968 cubed (442431362957976493968³) is 86603953193157798868038484259217995206963581363541612333535232
• The square root of 442431362957976493968 is 21034052461.6151058501
• The cube root of 442431362957976493968 is 7619888.8284700473

Scales and comparisons

• 442,431,362,957,976,493,968 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 442,431,362,957,976,493,968 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 442431362957976493968 cubic inches would be around 634990.7 feet tall.

Recreational maths with 442431362957976493968

• 442431362957976493968 backwards is 869394679759263134244
• The number of decimal digits it has is: 21
• The sum of 442431362957976493968's digits is 111
• More coming soon!