13684138239350217960000

Names of 13684138239350217960000

• Cardinal: 13684138239350217960000 can be written as Thirteen sextillion, six hundred eighty-four quintillion, one hundred thirty-eight quadrillion, two hundred thirty-nine trillion, three hundred fifty billion, two hundred seventeen million, nine hundred sixty thousand.

Scientific notation

• Scientific notation: 1.368413823935021796 × 10²²

Factors of 13684138239350217960000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 13973

Divisors of 13684138239350217960000

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 144 150 160 180 192 200 225 240 250 288 300 320 360 375 400 450 480 500 576 600 625 720 750 800 900 960 1000 1125 1200 1250 1440 1500 1600 1800 1875 2000 2250 2400 2500 2880 3000 3600 3750 4000 4500 4800 5000 5625 6000 7200 7500 8000 9000 10000 11250 12000 13963 14400 15000 18000 20000 22500 24000 27926 30000 36000 40000 41889 45000 55852 60000 69815 72000 83778 90000 111704 120000 125667 139630 167556 180000 209445 223408 251334 279260 335112 349075 360000 418890 446816 502668 558520 628335 670224 698150 837780 893632 1005336 1047225 1117040 1256670 1340448 1396300 1675560 1745375 2010672 2094450 2234080 2513340 2680896 2792600 3141675 3351120 3490750 4021344 4188900 4468160 5026680 5236125 5585200 6283350 6702240 6981500 8042688 8377800 8726875 10053360 10472250 11170400 12566700 13404480 13963000 15708375 16755600 17453750 20106720 20944500 22340800 25133400 26180625 27926000 31416750 33511200 34907500 40213440 41889000 50266800 52361250 55852000 62833500 67022400 69815000 78541875 83778000 100533600 104722500 111704000 125667000 139630000 157083750 167556000 194965369 201067200 209445000 251334000 279260000 314167500 335112000 389930738 418890000 502668000 558520000 584896107 628335000 779861476 837780000 974826845 1005336000 1169792214 1256670000 1559722952 1675560000 1754688321 1949653690 2339584428 2513340000 2924480535 3119445904 3509376642 3899307380 4679168856 4874134225 5026680000 5848961070 6238891808 7018753284 7798614760 8773441605 9358337712 9748268450 11697922140 12477783616 14037506568 14622402675 15597229520 17546883210 18716675424 19496536900 23395844280 24370671125 28075013136 29244805350 31194459040 35093766420 37433350848 38993073800 43867208025 46791688560 48741342250 56150026272 58489610700 62388918080 70187532840 73112013375 77986147600 87734416050 93583377120 97482684500 112300052544 116979221400 121853355625 140375065680 146224026750 155972295200 175468832100 187166754240 194965369000 219336040125 233958442800 243706711250 280750131360 292448053500 311944590400 350937664200 365560066875 389930738000 438672080250 467916885600 487413422500 561500262720 584896107000 701875328400 731120133750 779861476000 877344160500 935833771200 974826845000 1096680200625 1169792214000 1403750656800 1462240267500 1559722952000 1754688321000 1949653690000 2193360401250 2339584428000 2807501313600 2924480535000 3509376642000 3899307380000 4386720802500 4679168856000 5848961070000 7018753284000 7798614760000 8773441605000 11697922140000 14037506568000 17546883210000 23395844280000 35093766420000 70187532840000
• Sum of all divisors σ(n): 13684138420575081449523
• Sum of proper divisors (its aliquot sum) s(n): 181224863489523
• 13684138239350217960000 is a deficient number, because the sum of its proper divisors (181224863489523) is less than itself. Its deficiency is 13684138058125354470477

Bases of 13684138239350217960000

• Binary: 10111001011101000110010001000110110000010001110001000010001110101001000000₂
• Hexadecimal: 0x2E5D1911B047108EA40
• Base-36: 287XO0IAAFZ1N40

Squares and roots of 13684138239350217960000

• 13684138239350217960000 squared (13684138239350217960000²) is 187255639353646883077963797499506561600000000
• 13684138239350217960000 cubed (13684138239350217960000³) is 2562432055013212844843256349572573325336099311410166336000000000000
• 13684138239350217960000 is a perfect square number. Its square root is 116979221400
• The cube root of 13684138239350217960000 is 23918786.9762843087

Scales and comparisons

• 13,684,138,239,350,217,960,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,684,138,239,350,217,960,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13684138239350217960000 cubic inches would be around 1993232.2 feet tall.

Recreational maths with 13684138239350217960000

• 13684138239350217960000 backwards is 00006971205393283148631
• The number of decimal digits it has is: 23
• The sum of 13684138239350217960000's digits is 81
• More coming soon!