13688790434202624

Names of 13688790434202624

• Cardinal: 13688790434202624 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, seven hundred ninety billion, four hundred thirty-four million, two hundred two thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.3688790434202624 × 10¹⁶

Factors of 13688790434202624

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 664974

Divisors of 13688790434202624

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1024 1248 1352 1536 1664 2028 2496 2704 3072 3328 4056 4992 5408 6656 8112 9984 10816 13312 16224 19968 21632 32448 39936 42349 43264 64896 84698 86528 127047 129792 169396 173056 254094 259584 338792 508188 519168 550537 622607 677584 1016376 1101074 1245214 1355168 1651611 1867821 2032752 2202148 2490428 2710336 3303222 3735642 4065504 4404296 4980856 5420672 6606444 7156981 7471284 8093891 8131008 8808592 9961712 10841344 13212888 14313962 14942568 16187782 16262016 17617184 19923424 21470943 21682688 24281673 26425776 28627924 29885136 32375564 32524032 35234368 39846848 42941886 43365376 48563346 52851552 57255848 59770272 64751128 65048064 70468736 79693696 85883772 97126692 105220583 105703104 114511696 119540544 129502256 130096128 140937472 159387392 171767544 194253384 210441166 211406208 229023392 239081088 259004512 281874944 315661749 318774784 343535088 388506768 420882332 422812416 458046784 478162176 518009024 563749888 631323498 637549568 687070176 777013536 841764664 845624832 916093568 956324352 1036018048 1262646996 1374140352 1554027072 1683529328 1691249664 1832187136 1912648704 2072036096 2525293992 2748280704 3108054144 3367058656 3664374272 4144072192 5050587984 5496561408 6216108288 6734117312 7328748544 8288144384 10101175968 10993122816 12432216576 13468234624 20202351936 21986245632 24864433152 26366783843 26936469248 40404703872 52733567686 53872938496 79100351529 80809407744 105467135372 107745876992 158200703058 161618815488 210934270744 316401406116 323237630976 342768189959 421868541488 632802812232 685536379918 843737082976 1028304569877 1265605624464 1371072759836 1687474165952 2056609139754 2531211248928 2742145519672 3374948331904 4113218279508 4455986469467 5062422497856 5484291039344 6749896663808 8226436559016 8911972938934 10124844995712 10968582078688 13367959408401 13499793327616 16452873118032 17823945877868 20249689991424 21937164157376 26735918816802 26999586655232 32905746236064 35647891755736 40499379982848 43874328314752 53471837633604 65811492472128 71295783511472 80998759965696 87748656629504 106943675267208 131622984944256 142591567022944 175497313259008 213887350534416 263245969888512 285183134045888 350994626518016 427774701068832 526491939777024 570366268091776 855549402137664 1052983879554048 1140732536183552 1711098804275328 2281465072367104 3422197608550656 4562930144734208 6844395217101312 13688790434202624
• Sum of all divisors σ(n): 39509090751715200
• Sum of proper divisors (its aliquot sum) s(n): 25820300317512576
• 13688790434202624 is an abundant number, because the sum of its proper divisors (25820300317512576) is greater than itself. Its abundance is 12131509883309952

Bases of 13688790434202624

• Binary: 110000101000011110000111100011001111000100010000000000₂
• Hexadecimal: 0x30A1E1E33C4400
• Base-36: 3QS9RIEFFUO

Squares and roots of 13688790434202624

• 13688790434202624 squared (13688790434202624²) is 187382983551517263301838688485376
• 13688790434202624 cubed (13688790434202624³) is 2565046392772357149731211327508992700108844826624
• The square root of 13688790434202624 is 116999104.4162416827
• The cube root of 13688790434202624 is 239214.9722489597

Scales and comparisons

• 13,688,790,434,202,624 seconds is equal to 435,261,193 years, 31 weeks, 22 hours, 30 minutes, 24 seconds.
• To count from 1 to 13,688,790,434,202,624 would take you about one billion, three hundred five million, seven hundred eighty-three thousand, five hundred eighty 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 13688790434202624 cubic inches would be around 19934.6 feet tall.

Recreational maths with 13688790434202624

• 13688790434202624 backwards is 42620243409788631
• The number of decimal digits it has is: 17
• The sum of 13688790434202624's digits is 69
• More coming soon!