13680208020825216

Names of 13680208020825216

• Cardinal: 13680208020825216 can be written as Thirteen quadrillion, six hundred eighty trillion, two hundred eight billion, twenty million, eight hundred twenty-five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.3680208020825216 × 10¹⁶

Factors of 13680208020825216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 13633961708

Divisors of 13680208020825216

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 67 72 78 96 104 117 128 134 144 156 192 201 208 234 268 288 312 384 402 416 468 536 576 603 624 804 832 871 936 1072 1152 1206 1248 1608 1664 1742 1872 2144 2412 2496 2613 3216 3484 3744 4288 4824 4992 5226 6432 6968 7488 7839 8576 9648 10452 12864 13936 14976 15678 19296 20904 25728 27872 31356 38592 41808 55744 62712 77184 83616 111488 125424 167232 250848 334464 501696 1003392 13633961623 27267923246 40901884869 54535846492 81803769738 109071692984 122705654607 163607539476 177241501099 218143385968 245411309214 327215078952 354483002198 436286771936 490822618428 531724503297 654430157904 708966004396 872573543872 913475428741 981645236856 1063449006594 1308860315808 1417932008792 1595173509891 1745147087744 1826950857482 1963290473712 2126898013188 2617720631616 2740426286223 2835864017584 3190347019782 3653901714964 3926580947424 4253796026376 5235441263232 5480852572446 5671728035168 6380694039564 7307803429928 7853161894848 8221278858669 8507592052752 10961705144892 11343456070336 11875180573633 12761388079128 14615606859856 15706323789696 16442557717338 17015184105504 21923410289784 22686912140672 23750361147266 25522776158256 29231213719712 32885115434676 34030368211008 35625541720899 43846820579568 47500722294532 51045552316512 58462427439424 65770230869352 68060736422016 71251083441798 87693641159136 95001444589064 102091104633024 106876625162697 116924854878848 131540461738704 142502166883596 175387282318272 190002889178128 204182209266048 213753250325394 263080923477408 285004333767192 350774564636544 380005778356256 427506500650788 526161846954816 570008667534384 760011556712512 855013001301576 1052323693909632 1140017335068768 1520023113425024 1710026002603152 2280034670137536 3420052005206304 4560069340275072 6840104010412608 13680208020825216
• Sum of all divisors σ(n): 43027146809949120
• Sum of proper divisors (its aliquot sum) s(n): 29346938789123904
• 13680208020825216 is an abundant number, because the sum of its proper divisors (29346938789123904) is greater than itself. Its abundance is 15666730768298688

Bases of 13680208020825216

• Binary: 110000100110100001001110100011100010001110010010000000₂
• Hexadecimal: 0x309A13A388E480
• Base-36: 3QP88SZ3FK0

Squares and roots of 13680208020825216

• 13680208020825216 squared (13680208020825216²) is 187148091493050573483545621446656
• 13680208020825216 cubed (13680208020825216³) is 2560224822325361829104729370598224996928843677696
• The square root of 13680208020825216 is 116962421.4045913809
• The cube root of 13680208020825216 is 239164.9685372827

Scales and comparisons

• 13,680,208,020,825,216 seconds is equal to 434,988,299 years, 20 weeks, 5 days, 18 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,680,208,020,825,216 would take you about one billion, three hundred four million, nine hundred sixty-four thousand, eight hundred ninety-eight 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 13680208020825216 cubic inches would be around 19930.4 feet tall.

Recreational maths with 13680208020825216

• 13680208020825216 backwards is 61252802080208631
• The number of decimal digits it has is: 17
• The sum of 13680208020825216's digits is 54
• More coming soon!