3188142344116001664

Names of 3188142344116001664

• Cardinal: 3188142344116001664 can be written as Three quintillion, one hundred eighty-eight quadrillion, one hundred forty-two trillion, three hundred forty-four billion, one hundred sixteen million, one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.188142344116001664 × 10¹⁸

Factors of 3188142344116001664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 18826426351793

Divisors of 3188142344116001664

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 288 294 336 378 384 392 432 441 448 504 576 588 672 756 784 864 882 896 1008 1152 1176 1323 1344 1512 1568 1728 1764 2016 2352 2646 2688 3024 3136 3456 3528 4032 4704 5292 6048 6272 7056 8064 9408 10584 12096 14112 18816 21168 24192 28224 42336 56448 84672 169344 18826426351781 37652852703562 56479279055343 75305705407124 112958558110686 131784984462467 150611410814248 169437837166029 225917116221372 263569968924934 301222821628496 338875674332058 395354953387401 451834232442744 508313511498087 527139937849868 602445643256992 677751348664116 790709906774802 903668464885488 922494891237269 1016627022996174 1054279875699736 1186064860162203 1204891286513984 1355502697328232 1581419813549604 1807336929770976 1844989782474538 2033254045992348 2108559751399472 2372129720324406 2409782573027968 2711005394656464 2767484673711807 3162839627099208 3558194580486609 3614673859541952 3689979564949076 4066508091984696 4217119502798944 4744259440648812 5422010789312928 5534969347423614 6325679254198416 7116389160973218 7229347719083904 7379959129898152 8133016183969392 8302454021135421 8434239005597888 9488518881297624 10844021578625856 11069938694847228 12651358508396832 14232778321946436 14759918259796304 16266032367938784 16604908042270842 16868478011195776 18977037762595248 21688043157251712 22139877389694456 24907362063406263 25302717016793664 28465556643892872 29519836519592608 32532064735877568 33209816084541684 37954075525190496 44279754779388912 49814724126812526 50605434033587328 56931113287785744 59039673039185216 65064129471755136 66419632169083368 75908151050380992 88559509558777824 99629448253625052 113862226575571488 118079346078370432 132839264338166736 151816302100761984 177119019117555648 199258896507250104 227724453151142976 265678528676333472 354238038235111296 398517793014500208 455448906302285952 531357057352666944 797035586029000416 1062714114705333888 1594071172058000832 3188142344116001664
• Sum of all divisors σ(n): 10945684280926054800
• Sum of proper divisors (its aliquot sum) s(n): 7757541936810053136
• 3188142344116001664 is an abundant number, because the sum of its proper divisors (7757541936810053136) is greater than itself. Its abundance is 4569399592694051472

Bases of 3188142344116001664

• Binary: 10110000111110100011101001001000001010011010100101101110000000₂
• Hexadecimal: 0x2C3E8E920A6A5B80
• Base-36: O7ZQ51OIODC0

Squares and roots of 3188142344116001664

• 3188142344116001664 squared (3188142344116001664²) is 10164251606345473969959177218050768896
• 3188142344116001664 cubed (3188142344116001664³) is 32405080942439094756027384779651728028460512252415442944
• The square root of 3188142344116001664 is 1785536990.4082081671
• The cube root of 3188142344116001664 is 1471790.1808571187

Scales and comparisons

• 3,188,142,344,116,001,664 seconds is equal to 101,373,064,971 years, 6 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 3,188,142,344,116,001,664 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 3188142344116001664 cubic inches would be around 122649.2 feet tall.

Recreational maths with 3188142344116001664

• 3188142344116001664 backwards is 4661006114432418813
• 3188142344116001664 is a Harshad number.
• The number of decimal digits it has is: 19
• The sum of 3188142344116001664's digits is 63
• More coming soon!