642131688304863575

Names of 642131688304863575

• Cardinal: 642131688304863575 can be written as Six hundred forty-two quadrillion, one hundred thirty-one trillion, six hundred eighty-eight billion, three hundred four million, eight hundred sixty-three thousand, five hundred seventy-five.

Scientific notation

• Scientific notation: 6.42131688304863575 × 10¹⁷

Factors of 642131688304863575

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 17815

Divisors of 642131688304863575

• Number of divisors d(n): 216
• Complete list of divisors:
  1 5 7 13 25 35 41 65 91 169 175 205 287 325 455 533 845 1025 1183 1435 1681 2275 2665 3731 4225 5915 6929 7175 8405 11767 13325 17749 18655 21853 29575 34645 42025 48503 58835 68921 88745 93275 109265 124243 152971 173225 230737 242515 284089 294175 344605 443725 482447 546325 621215 727709 764855 895973 1153685 1212575 1420445 1615159 1723025 1988623 2412235 2999581 3106075 3638545 3824275 4479865 5093963 5768425 6271811 7102225 8075795 9460217 9943115 11647649 12061175 14997905 18192725 20997067 22399325 25469815 29836069 31359055 40378975 47301085 49715575 58238245 66221519 74989525 81533543 104985335 122982821 127349075 149180345 156795275 208852483 236505425 291191225 315027001 331107595 387868897 407667715 524926675 614914105 745901725 860879747 1044262415 1223278829 1575135005 1655537975 1939344485 2038338575 2205189007 2715082279 3074570525 4095351013 4304398735 5042295661 5221312075 6116394145 7875675025 8562951803 9696722425 11025945035 12916107041 13575411395 15902624777 20476755065 21521993675 25211478305 28667457091 30581970725 35296069627 42814759015 53239563169 55129725175 64580535205 67877056975 79513123885 90412749287 102383775325 111318373439 126057391525 143337285455 167909391533 176480348135 206734122101 214073795075 266197815845 322902676025 372676942183 397565619425 452063746435 529560388681 556591867195 716686427275 839546957665 882401740675 1033670610505 1175365740731 1330989079225 1447138854707 1863384710915 2182822089929 2260318732175 2647801943405 2782959335975 3706922720767 4197734788325 5168353052525 5876828703655 6884285052853 7235694273535 9316923554575 10914110449645 13239009717025 15279754629503 18534613603835 21711975935921 29384143518275 34421425264265 36178471367675 48189995369971 54570552248225 76398773147515 89495705687089 92673068019175 108559879679605 151983831551447 172107126321325 240949976849855 282255687166973 381993865737575 447478528435445 542799398398025 626469939809623 759919157757235 1204749884249275 1411278435834865 1975789810168811 2237392642177225 3132349699048115 3669323933170649 3799595788786175 7056392179174325 9878949050844055 15661748495240575 18346619665853245 25685267532194543 49394745254220275 91733098329266225 128426337660972715 642131688304863575
• Sum of all divisors σ(n): 1010067274747603296
• Sum of proper divisors (its aliquot sum) s(n): 367935586442739721
• 642131688304863575 is a deficient number, because the sum of its proper divisors (367935586442739721) is less than itself. Its deficiency is 274196101862123854

Bases of 642131688304863575

• Binary: 100011101001010011110101111001001100011011101110100101010111₂
• Hexadecimal: 0x8E94F5E4C6EE957
• Base-36: 4VMOOP7FU3PZ

Squares and roots of 642131688304863575

• 642131688304863575 squared (642131688304863575²) is 412333105125254468141870999361780625
• 642131688304863575 cubed (642131688304863575³) is 264772152938066447576817748240881515471200159703234375
• The square root of 642131688304863575 is 801331197.6360733049
• The cube root of 642131688304863575 is 862729.6038692589

Scales and comparisons

• 642,131,688,304,863,575 seconds is equal to 20,417,801,444 years, 19 weeks, 1 day, 17 hours, 39 minutes, 35 seconds.
• To count from 1 to 642,131,688,304,863,575 would take you about sixty-one billion, two hundred fifty-three million, four hundred four thousand, three hundred thirty-three 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 642131688304863575 cubic inches would be around 71894.1 feet tall.

Recreational maths with 642131688304863575

• 642131688304863575 backwards is 575368403886131246
• The number of decimal digits it has is: 18
• The sum of 642131688304863575's digits is 80
• More coming soon!