513978414802209072171

Names of 513978414802209072171

• Cardinal: 513978414802209072171 can be written as Five hundred thirteen quintillion, nine hundred seventy-eight quadrillion, four hundred fourteen trillion, eight hundred two billion, two hundred nine million, seventy-two thousand, one hundred seventy-one.

Scientific notation

• Scientific notation: 5.13978414802209072171 × 10²⁰

Factors of 513978414802209072171

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 37681

Divisors of 513978414802209072171

• Number of divisors d(n): 48
• Complete list of divisors:
  1 3 9 27 71 213 639 1917 5041 15123 37607 45369 112821 136107 338463 357911 1015389 1073733 2670097 3221199 8010291 9663597 24030873 72092619 189576887 568730661 1414286449 1706191983 4242859347 5118575949 12728578041 13459958977 38185734123 40379876931 100414337879 121139630793 301243013637 363418892379 903729040911 2711187122733 7129417989409 21388253968227 64164761904681 192494285714043 506188677248039 1518566031744117 4555698095232351 13667094285697053
• Sum of all divisors σ(n): 513985285050982109838
• Sum of proper divisors (its aliquot sum) s(n): 6870248773037667
• 513978414802209072171 is a deficient number, because the sum of its proper divisors (6870248773037667) is less than itself. Its deficiency is 513971544553436034504

Bases of 513978414802209072171

• Binary: 110111101110011100010001001010001011010011000000010111110010000101011₂
• Hexadecimal: 0x1BDCE22516980BE42B
• Base-36: 30GYTA23VZZL0R

Squares and roots of 513978414802209072171

• 513978414802209072171 squared (513978414802209072171²) is 264173810882591689865263629061456686653241
• 513978414802209072171 cubed (513978414802209072171³) is 135779636549693044686529175899539936207431257277574341820056211
• The square root of 513978414802209072171 is 22671092051.3814038937
• 513978414802209072171 is a perfect cube number. Its cube root is 8010291

Scales and comparisons

• 513,978,414,802,209,072,171 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 513,978,414,802,209,072,171 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 513978414802209072171 cubic inches would be around 667524.3 feet tall.

Recreational maths with 513978414802209072171

• 513978414802209072171 backwards is 171270902208414879315
• The number of decimal digits it has is: 21
• The sum of 513978414802209072171's digits is 81
• More coming soon!