137020437766810398690

Names of 137020437766810398690

• Cardinal: 137020437766810398690 can be written as One hundred thirty-seven quintillion, twenty quadrillion, four hundred thirty-seven trillion, seven hundred sixty-six billion, eight hundred ten million, three hundred ninety-eight thousand, six hundred ninety.

Scientific notation

• Scientific notation: 1.3702043776681039869 × 10²⁰

Factors of 137020437766810398690

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 21442948007325652

Divisors of 137020437766810398690

• Number of divisors d(n): 48
• Complete list of divisors:
  1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 21442948007325571 42885896014651142 64328844021976713 107214740036627855 128657688043953426 192986532065930139 214429480073255710 321644220109883565 385973064131860278 643288440219767130 964932660329650695 1522449308520115541 1929865320659301390 3044898617040231082 4567347925560346623 7612246542600577705 9134695851120693246 13702043776681039869 15224493085201155410 22836739627801733115 27404087553362079738 45673479255603466230 68510218883405199345 137020437766810398690
• Sum of all divisors σ(n): 361270788027421237056
• Sum of proper divisors (its aliquot sum) s(n): 224250350260610838366
• 137020437766810398690 is an abundant number, because the sum of its proper divisors (224250350260610838366) is greater than itself. Its abundance is 87229912493800439676

Bases of 137020437766810398690

• Binary: 1110110110110001010011000100010111011111011010000000110111111100010₂
• Hexadecimal: 0x76D8A622EFB406FE2
• Base-36: SX0M3GE5HUFOI

Squares and roots of 137020437766810398690

• 137020437766810398690 squared (137020437766810398690²) is 18774600365808361437294242599116753716100
• 137020437766810398690 cubed (137020437766810398690³) is 2572503961019980334142934696382213010471695694601180071909000
• The square root of 137020437766810398690 is 11705572936.2902351995
• The cube root of 137020437766810398690 is 5155393.0718351549

Scales and comparisons

• 137,020,437,766,810,398,690 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,020,437,766,810,398,690 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 137020437766810398690 cubic inches would be around 429616.1 feet tall.

Recreational maths with 137020437766810398690

• 137020437766810398690 backwards is 096893018667734020731
• 137020437766810398690 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137020437766810398690's digits is 90
• More coming soon!