138708382800544752000

Names of 138708382800544752000

• Cardinal: 138708382800544752000 can be written as One hundred thirty-eight quintillion, seven hundred eight quadrillion, three hundred eighty-two trillion, eight hundred billion, five hundred forty-four million, seven hundred fifty-two thousand.

Scientific notation

• Scientific notation: 1.38708382800544752 × 10²⁰

Factors of 138708382800544752000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 222289075000896

Divisors of 138708382800544752000

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 260 300 312 320 325 375 384 390 400 416 480 500 520 600 624 640 650 750 780 800 832 960 975 1000 1040 1200 1248 1300 1500 1560 1600 1625 1664 1920 1950 2000 2080 2400 2496 2600 3000 3120 3200 3250 3900 4000 4160 4800 4875 4992 5200 6000 6240 6500 7800 8000 8320 9600 9750 10400 12000 12480 13000 15600 16000 19500 20800 24000 24960 26000 31200 39000 41600 48000 52000 62400 78000 104000 124800 156000 208000 312000 624000 222289075000873 444578150001746 666867225002619 889156300003492 1111445375004365 1333734450005238 1778312600006984 2222890750008730 2667468900010476 2889757975011349 3334336125013095 3556625200013968 4445781500017460 5334937800020952 5557226875021825 5779515950022698 6668672250026190 7113250400027936 8669273925034047 8891563000034920 10669875600041904 11114453750043650 11559031900045396 13337344500052380 14226500800055872 14448789875056745 16671680625065475 17338547850068094 17783126000069840 21339751200083808 22228907500087300 23118063800090792 26674689000104760 27786134375109125 28453001600111744 28897579750113490 33343361250130950 34677095700136188 35566252000139680 42679502400167616 43346369625170235 44457815000174600 46236127600181584 53349378000209520 55572268750218250 57795159500226980 66686722500261900 69354191400272376 71132504000279360 72243949375283725 83358403125327375 85359004800335232 86692739250340470 88915630000349200 92472255200363168 106698756000419040 111144537500436500 115590319000453960 133373445000523800 138708382800544752 142265008000558720 144487898750567450 166716806250654750 173385478500680940 177831260000698400 184944510400726336 213397512000838080 216731848125851175 222289075000873000 231180638000907920 266746890001047600 277416765601089504 288975797501134900 333433612501309500 346770957001361880 355662520001396800 361219746876418625 369889020801452672 426795024001676160 433463696251702350 444578150001746000 462361276001815840 533493780002095200 554833531202179008 577951595002269800 666867225002619000 693541914002723760 711325040002793600 722439493752837250 866927392503404700 889156300003492000 924722552003631680 1066987560004190400 1083659240629255875 1109667062404358016 1155903190004539600 1333734450005238000 1387083828005447520 1444878987505674500 1733854785006809400 1778312600006984000 1849445104007263360 2133975120008380800 2167318481258511750 2311806380009079200 2667468900010476000 2774167656010895040 2889757975011349000 3467709570013618800 3556625200013968000 4334636962517023500 4623612760018158400 5334937800020952000 5548335312021790080 5779515950022698000 6935419140027237600 8669273925034047000 9247225520036316800 10669875600041904000 11559031900045396000 13870838280054475200 17338547850068094000 23118063800090792000 27741676560108950400 34677095700136188000 46236127600181584000 69354191400272376000 138708382800544752000
• Sum of all divisors σ(n): 495188926597946992320
• Sum of proper divisors (its aliquot sum) s(n): 356480543797402240320
• 138708382800544752000 is an abundant number, because the sum of its proper divisors (356480543797402240320) is greater than itself. Its abundance is 217772160996857488320

Bases of 138708382800544752000

• Binary: 1111000010011110111001010110011111110100011010111110110000110000000₂
• Hexadecimal: 0x784F72B3FA35F6180
• Base-36: T9UAA15P601HC

Squares and roots of 138708382800544752000

• 138708382800544752000 squared (138708382800544752000²) is 19240015459142459177894427954741504000000
• 138708382800544752000 cubed (138708382800544752000³) is 2668751429395131024282152383655381957296932543787008000000000
• The square root of 138708382800544752000 is 11777452305.1696011527
• The cube root of 138708382800544752000 is 5176476.3730972573

Scales and comparisons

• 138,708,382,800,544,752,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,708,382,800,544,752,000 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 138708382800544752000 cubic inches would be around 431373 feet tall.

Recreational maths with 138708382800544752000

• 138708382800544752000 backwards is 000257445008283807831
• 138708382800544752000 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 138708382800544752000's digits is 75
• More coming soon!