13807318948800

Names of 13807318948800

• Cardinal: 13807318948800 can be written as Thirteen trillion, eight hundred seven billion, three hundred eighteen million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.38073189488 × 10¹³

Factors of 13807318948800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 145962

Divisors of 13807318948800

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 48 50 52 60 64 65 74 75 78 80 82 96 100 104 111 120 123 130 148 150 156 160 164 185 192 195 200 205 208 222 240 246 260 296 300 312 320 325 328 370 390 400 410 416 444 480 481 492 520 533 555 592 600 615 624 650 656 740 780 800 820 832 888 925 960 962 975 984 1025 1040 1066 1110 1184 1200 1230 1248 1300 1312 1443 1480 1517 1560 1599 1600 1640 1776 1850 1924 1950 1968 2050 2080 2132 2220 2368 2400 2405 2460 2496 2600 2624 2665 2775 2886 2960 3034 3075 3120 3198 3280 3552 3700 3848 3900 3936 4100 4160 4264 4440 4551 4800 4810 4920 5200 5330 5550 5772 5920 6068 6150 6240 6396 6560 7104 7215 7400 7585 7696 7800 7872 7995 8200 8528 8880 9102 9620 9840 10400 10660 11100 11544 11840 12025 12136 12300 12480 12792 13120 13325 14430 14800 15170 15392 15600 15990 16400 17056 17760 18204 19240 19680 19721 20800 21320 22200 22755 23088 24050 24272 24600 25584 26650 28860 29600 30340 30784 31200 31980 32800 34112 35520 36075 36408 37925 38480 39360 39442 39975 42640 44400 45510 46176 48100 48544 49200 51168 53300 57720 59163 59200 60680 62400 63960 65600 72150 72816 75850 76960 78884 79950 85280 88800 91020 92352 96200 97088 98400 98605 102336 106600 113775 115440 118326 121360 127920 144300 145632 145861 151700 153920 157768 159900 170560 177600 182040 192400 196800 197210 213200 227550 230880 236652 242720 255840 288600 291264 291722 295815 303400 315536 319800 364080 384800 394420 426400 437583 455100 461760 473304 485440 493025 511680 577200 583444 591630 606800 631072 639600 728160 729305 769600 788840 852800 875166 910200 946608 986050 1154400 1166888 1183260 1213600 1262144 1279200 1456320 1458610 1479075 1577680 1750332 1820400 1893216 1896193 1972100 2187915 2308800 2333776 2366520 2427200 2558400 2917220 2958150 3155360 3500664 3640800 3646525 3786432 3792386 3944200 4375830 4667552 4733040 5396857 5688579 5834440 5916300 5980301 6310720 7001328 7281600 7293050 7584772 7888400 8751660 9335104 9466080 9480965 10793714 10939575 11377158 11668880 11832600 11960602 14002656 14586100 15169544 15776800 16190571 17503320 17940903 18932160 18961930 21587428 21879150 22754316 23337760 23665200 23921204 26984285 28005312 28442895 29172200 29901505 30339088 31553600 32381142 35006640 35881806 37923860 43174856 43758300 45508632 46675520 47330400 47404825 47842408 53968570 56885790 58344400 59803010 60678176 64762284 70013280 70159141 71763612 75847720 77743913 80952855 86349712 87516600 89704515 91017264 94660800 94809650 95684816 107937140 113771580 116688800 119606020 121356352 129524568 134921425 140026560 140318282 142214475 143527224 149507525 151695440 155487826 161905710 172699424 175033200 179409030 182034528 189619300 191369632 210477423 215874280 221271137 227543160 233231739 233377600 239212040 259049136 269842850 280636564 284428950 287054448 299015050 303390880 310975652 323811420 345398848 350066400 350795705 358818060 364069056 379238600 382739264 388719565 404764275 420954846 431748560 442542274 448522575 455086320 466463478 478424080 518098272 539685700 561273128 568857900 574108896 598030100 606781760 621951304 647622840 663813411 700132800 701591410 717636120 758477200 777439130 809528550 841909692 863497120 885084548 897045150 910172640 932926956 956848160 1036196544 1052387115 1079371400 1106355685 1122546256 1137715800 1148217792 1166158695 1196060200 1243902608 1295245680 1327626822 1403182820 1435272240 1516954400 1554878260 1619057100 1683819384 1726994240 1753978525 1770169096 1794090300 1820345280 1865853912 1913696320 1943597825 2104774230 2158742800 2212711370 2245092512 2275431600 2332317390 2392120400 2487805216 2590491360 2655253644 2806365640 2870544480 2876524781 3033908800 3109756520 3238114200 3319067055 3367638768 3507957050 3540338192 3588180600 3731707824 3887195650 4209548460 4317485600 4425422740 4490185024 4550863200 4664634780 4784240800 4975610432 5180982720 5261935575 5310507288 5531778425 5612731280 5741088960 5753049562 5830793475 6219513040 6476228400 6638134110 6735277536 7015914100 7080676384 7176361200 7463415648 7774391300 8419096920 8629574343 8634971200 8850845480 9101726400 9329269560 9568481600 10523871150 10621014576 11063556850 11225462560 11506099124 11661586950 12439026080 12952456800 13276268220 13470555072 14031828200 14161352768 14352722400 14382623905 14926831296 15548782600 16595335275 16838193840 17259148686 17701690960 18658539120 21047742300 21242029152 22127113700 22450925120 23012198248 23323173900 24878052160 25904913600 26552536440 28063656400 28705444800 28765247810 31097565200 33190670550 33676387680 34518297372 35403381920 37317078240 42095484600 42484058304 43147871715 44254227400 46024396496 46646347800 53105072880 56127312800 57530495620 62195130400 66381341100 67352775360 69036594744 70806763840 71913119525 74634156480 84190969200 86295743430 88508454800 92048792992 93292695600 106210145760 112254625600 115060991240 124390260800 132762682200 138073189488 143826239050 168381938400 172591486860 177016909600 184097585984 186585391200 212420291520 215739358575 230121982480 265525364400 276146378976 287652478100 336763876800 345182973720 354033819200 373170782400 431478717150 460243964960 531050728800 552292757952 575304956200 690365947440 862957434300 920487929920 1062101457600 1150609912400 1380731894880 1725914868600 2301219824800 2761463789760 3451829737200 4602439649600 6903659474400 13807318948800
• Sum of all divisors σ(n): 51324945034944
• Sum of proper divisors (its aliquot sum) s(n): 37517626086144
• 13807318948800 is an abundant number, because the sum of its proper divisors (37517626086144) is greater than itself. Its abundance is 23710307137344

Bases of 13807318948800

• Binary: 11001000111011000100010101110101101111000000₂
• Hexadecimal: 0xC8EC4575BC0
• Base-36: 4W6ZT7H6O

Squares and roots of 13807318948800

• 13807318948800 squared (13807318948800²) is 190642056553891537021440000
• 13807318948800 cubed (13807318948800³) is 2632255679894747847496085223862272000000
• The square root of 13807318948800 is 3715820.0910162483
• The cube root of 13807318948800 is 23990.3427284563

Scales and comparisons

• 13,807,318,948,800 seconds is equal to 439,030 years, 1 week, 5 days, 6 hours, 40 minutes.
• To count from 1 to 13,807,318,948,800 would take you about one million, ninety-seven thousand, five hundred seventy-five 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 13807318948800 cubic inches would be around 1999.2 feet tall.

Recreational maths with 13807318948800

• 13807318948800 backwards is 00884981370831
• 13807318948800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13807318948800's digits is 60
• More coming soon!