131678680116800

Names of 131678680116800

• Cardinal: 131678680116800 can be written as One hundred thirty-one trillion, six hundred seventy-eight billion, six hundred eighty million, one hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.316786801168 × 10¹⁴

Factors of 131678680116800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 225435

Divisors of 131678680116800

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 41 50 64 74 80 82 100 148 160 164 185 200 205 241 296 320 328 370 400 410 482 592 656 740 800 820 925 964 1025 1184 1205 1312 1480 1517 1600 1640 1850 1928 2050 2368 2410 2624 2960 3034 3280 3700 3856 4100 4820 5920 6025 6068 6560 7400 7585 7712 8200 8917 9640 9881 11840 12050 12136 13120 14800 15170 15424 16400 17834 19280 19762 24100 24272 29600 30340 32800 35668 37925 38560 39524 44585 48200 48544 49405 59200 60680 65600 71336 75850 77120 79048 89170 96400 97088 98810 121360 142672 151700 158096 178340 192800 197620 222925 225109 242720 247025 285344 303400 316192 356680 365597 385600 395240 445850 450218 485440 494050 570688 606800 632384 713360 731194 790480 891700 900436 988100 1125545 1213600 1426720 1462388 1580960 1783400 1800872 1827985 1976200 2251090 2427200 2853440 2924776 3161920 3566800 3601744 3655970 3952400 4502180 5627725 5849552 7133600 7203488 7311940 7904800 8329033 9004360 9139925 9229469 11255450 11699104 14267200 14406976 14623880 15809600 16658066 18008720 18279850 18458938 22510900 23398208 29247760 33316132 36017440 36559700 36917876 41645165 45021800 46147345 54251269 58495520 66632264 72034880 73119400 73835752 83290330 90043600 92294690 108502538 116991040 133264528 146238800 147671504 166580660 180087200 184589380 208225825 217005076 230736725 266529056 271256345 292477600 295343008 333161320 341490353 360174400 369178760 416451650 434010152 461473450 533058112 542512690 584955200 590686016 666322640 682980706 738357520 832903300 868020304 922946900 1085025380 1332645280 1356281725 1365961412 1476715040 1665806600 1707451765 1736040608 1845893800 2007296953 2170050760 2224302029 2665290560 2712563450 2731922824 2953430080 3331613200 3414903530 3472081216 3691787600 4014593906 4340101520 4448604058 5425126900 5463845648 6663226400 6829807060 7383575200 8029187812 8537258825 8680203040 8897208116 10036484765 10850253800 10927691296 11121510145 13326452800 13659614120 14767150400 16058375624 17074517650 17360406080 17794416232 20072969530 21700507600 21855382592 22243020290 27319228240 32116751248 34149035300 35588832464 40145939060 43401015200 44486040580 50182423825 54638456480 55607550725 64233502496 68298070600 71177664928 80291878120 82299175073 86802030400 88972081160 100364847650 109276912960 111215101450 128467004992 136596141200 142355329856 160583756240 164598350146 177944162320 200729695300 222430202900 273192282400 321167512480 329196700292 355888324640 401459390600 411495875365 444860405800 546384564800 642335024960 658393400584 711776649280 802918781200 822991750730 889720811600 1316786801168 1605837562400 1645983501460 1779441623200 2057479376825 2633573602336 3211675124800 3291967002920 3558883246400 4114958753650 5267147204672 6583934005840 8229917507300 13167868011680 16459835014600 26335736023360 32919670029200 65839340058400 131678680116800
• Sum of all divisors σ(n): 342301226892240
• Sum of proper divisors (its aliquot sum) s(n): 210622546775440
• 131678680116800 is an abundant number, because the sum of its proper divisors (210622546775440) is greater than itself. Its abundance is 78943866658640

Bases of 131678680116800

• Binary: 11101111100001011010100111100111110111001000000₂
• Hexadecimal: 0x77C2D4F3EE40
• Base-36: 1AOCCMAR7K

Squares and roots of 131678680116800

• 131678680116800 squared (131678680116800²) is 17339274797302539661642240000
• 131678680116800 cubed (131678680116800³) is 2283212819491293279617633427923013632000000
• The square root of 131678680116800 is 11475133.1197855827
• The cube root of 131678680116800 is 50875.0858288777

Scales and comparisons

• 131,678,680,116,800 seconds is equal to 4,186,974 years, 37 weeks, 2 days, 15 hours, 33 minutes, 20 seconds.
• To count from 1 to 131,678,680,116,800 would take you about ten million, four hundred sixty-seven thousand, four hundred thirty-six 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 131678680116800 cubic inches would be around 4239.6 feet tall.

Recreational maths with 131678680116800

• 131678680116800 backwards is 008611086876131
• The number of decimal digits it has is: 15
• The sum of 131678680116800's digits is 56
• More coming soon!