13688767686816

Names of 13688767686816

• Cardinal: 13688767686816 can be written as Thirteen trillion, six hundred eighty-eight billion, seven hundred sixty-seven million, six hundred eighty-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.3688767686816 × 10¹³

Factors of 13688767686816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 591

Divisors of 13688767686816

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 243 288 321 324 428 432 479 486 642 648 729 856 864 958 963 972 1284 1296 1437 1458 1712 1916 1926 1944 2568 2592 2874 2889 2916 3424 3832 3852 3888 4311 5136 5748 5778 5832 7664 7704 7776 8622 8667 10272 11449 11496 11556 11664 12933 15328 15408 17244 17334 22898 22992 23112 23328 25866 26001 30816 34347 34488 34668 38799 45796 45984 46224 51253 51732 52002 68694 68976 69336 77598 78003 91592 92448 102506 103041 103464 104004 116397 137388 137952 138672 153759 155196 156006 183184 205012 206082 206928 208008 232794 274776 277344 307518 309123 310392 312012 349191 366368 410024 412164 413856 416016 461277 465588 549552 615036 618246 620784 624024 698382 820048 824328 832032 922554 927369 931176 1099104 1225043 1230072 1236492 1241568 1248048 1383831 1396764 1640096 1648656 1845108 1854738 1862352 2450086 2460144 2472984 2496096 2767662 2782107 2793528 3297312 3675129 3690216 3709476 3724704 4151493 4900172 4920288 4945968 5484071 5535324 5564214 5587056 7350258 7380432 7418952 8302986 8346321 9800344 9891936 10968142 11025387 11070648 11128428 11174112 12454479 14700516 14760864 14837904 16452213 16605972 16692642 19600688 21936284 22050774 22141296 22256856 24908958 29401032 29675808 32904426 33076161 33211944 33385284 37363437 39201376 43872568 44101548 44282592 44513712 49356639 49817916 58802064 65808852 66152322 66423888 66770568 74726874 87745136 88203096 89027424 98713278 99228483 99635832 117604128 131617704 132304644 132847776 133541136 148069917 149453748 175490272 176406192 197426556 198456966 199271664 263235408 264609288 267082272 296139834 297685449 298907496 352812384 394853112 396913932 398543328 444209751 526470816 529218576 586795597 592279668 595370898 597814992 789706224 793827864 888419502 893056347 1058437152 1173591194 1184559336 1190741796 1195629984 1332629253 1579412448 1587655728 1760386791 1776839004 1786112694 2347182388 2369118672 2381483592 2665258506 3175311456 3520773582 3553678008 3572225388 3997887759 4694364776 4738237344 4762967184 5281160373 5330517012 7041547164 7107356016 7144450776 7995775518 9388729552 9525934368 10562320746 10661034024 14083094328 14214712032 14288901552 15843481119 15991551036 18777459104 21124641492 21322068048 28166188656 28577803104 31686962238 31983102072 42249282984 42644136096 47530443357 56332377312 63373924476 63966204144 84498565968 95060886714 126747848952 127932408288 142591330071 168997131936 190121773428 253495697904 285182660142 380243546856 427773990213 506991395808 570365320284 760487093712 855547980426 1140730640568 1520974187424 1711095960852 2281461281136 3422191921704 4562922562272 6844383843408 13688767686816
• Sum of all divisors σ(n): 40872498912000
• Sum of proper divisors (its aliquot sum) s(n): 27183731225184
• 13688767686816 is an abundant number, because the sum of its proper divisors (27183731225184) is greater than itself. Its abundance is 13494963538368

Bases of 13688767686816

• Binary: 11000111001100101010001000101010100010100000₂
• Hexadecimal: 0xC732A22A8A0
• Base-36: 4UOJ6UI00

Squares and roots of 13688767686816

• 13688767686816 squared (13688767686816²) is 187382360783617863460217856
• 13688767686816 cubed (13688767686816³) is 2565033605374085853906022510316538986496
• The square root of 13688767686816 is 3699833.4674436361
• The cube root of 13688767686816 is 23921.4839743499

Scales and comparisons

• 13,688,767,686,816 seconds is equal to 435,260 years, 24 weeks, 3 days, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,688,767,686,816 would take you about one million, eighty-eight thousand, one hundred fifty-one 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 13688767686816 cubic inches would be around 1993.5 feet tall.

Recreational maths with 13688767686816

• 13688767686816 backwards is 61868676788631
• 13688767686816 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13688767686816's digits is 81
• More coming soon!