138649838784218108991

Names of 138649838784218108991

• Cardinal: 138649838784218108991 can be written as One hundred thirty-eight quintillion, six hundred forty-nine quadrillion, eight hundred thirty-eight trillion, seven hundred eighty-four billion, two hundred eighteen million, one hundred eight thousand, nine hundred ninety-one.

Scientific notation

• Scientific notation: 1.38649838784218108991 × 10²⁰

Factors of 138649838784218108991

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 141074108

Divisors of 138649838784218108991

• Number of divisors d(n): 128
• Complete list of divisors:
  1 3 7 9 21 27 63 189 541 1063 1623 3189 3787 4869 7441 9043 9567 11361 14607 22323 27129 28701 34083 63301 66969 81387 102249 189903 200907 244161 569709 575083 1709127 1725249 4025581 4892263 5175747 9612709 12076743 14676789 15527241 28838127 34245841 36230229 44030367 67288963 86514381 102737523 108690687 132091101 141063451 201866889 259543143 308212569 423190353 605600667 924637707 987444157 1269571059 1816802001 2962332471 3808713177 5200475569 8886997413 15601426707 26660992239 36403328983 46804280121 76315326991 109209986949 140412840363 149950448413 228945980973 327629960847 449851345239 534207288937 686837942919 982889882541 1049653138891 1275636787393 1349554035717 1602621866811 2060513828757 3148959416673 3826910362179 4048662107151 4807865600433 8929457511751 9446878250019 11480731086537 14423596801299 26788372535253 28340634750057 34442193259611 80365117605759 81123192591433 241095352817277 243369577774299 567862348140031 690119501979613 730108733322897 1356001904998759 1703587044420093 2070358505938839 2190326199968691 4068005714996277 4830836513857291 5110761133260279 6211075517816517 9492013334991313 12204017144988831 14492509541571873 15332283399780837 18633226553449551 28476040004973939 36612051434966493 43477528624715619 85428120014921817 130432585874146857 256284360044765451 733597030604328619 2200791091812985857 5135179214230300333 6602373275438957571 15405537642690900999 19807119826316872713 46216612928072702997 138649838784218108991
• Sum of all divisors σ(n): 235432250388189102080
• Sum of proper divisors (its aliquot sum) s(n): 96782411603970993089
• 138649838784218108991 is a deficient number, because the sum of its proper divisors (96782411603970993089) is less than itself. Its deficiency is 41867427180247115902

Bases of 138649838784218108991

• Binary: 1111000010000100111001011011100011010100010011111111001010000111111₂
• Hexadecimal: 0x784272DC6A27F943F
• Base-36: T9E9TWRVUTQ9R

Squares and roots of 138649838784218108991

• 138649838784218108991 squared (138649838784218108991²) is 19223777794889672151535029385419955038081
• 138649838784218108991 cubed (138649838784218108991³) is 2665373692085084941654997833766471470526868527238125213486271
• The square root of 138649838784218108991 is 11774966614.9937813313
• The cube root of 138649838784218108991 is 5175747.9999999989

Scales and comparisons

• 138,649,838,784,218,108,991 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,649,838,784,218,108,991 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 138649838784218108991 cubic inches would be around 431312.3 feet tall.

Recreational maths with 138649838784218108991

• 138649838784218108991 backwards is 199801812487838946831
• The number of decimal digits it has is: 21
• The sum of 138649838784218108991's digits is 108
• More coming soon!