138475413424538910720

138,475,413,424,538,910,720 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138475413424538910720 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 27000 divisors.

138475413424538910720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty-seven thousand divisors.

Prime factorization of 138475413424538910720:

224 × 34 × 5 × 72 × 113 × 132 × 432

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 43 × 43)

See below for interesting mathematical facts about the number 138475413424538910720 from the Numbermatics database.


Names of 138475413424538910720

  • Cardinal: 138475413424538910720 can be written as One hundred thirty-eight quintillion, four hundred seventy-five quadrillion, four hundred thirteen trillion, four hundred twenty-four billion, five hundred thirty-eight million, nine hundred ten thousand, seven hundred twenty.

Scientific notation

  • Scientific notation: 1.3847541342453891072 × 1020

Factors of 138475413424538910720

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 38
  • Sum of prime factors: 84

Divisors of 138475413424538910720

Bases of 138475413424538910720

  • Binary: 11110000001101110110111111011010101110111110000000000000000000000002
  • Hexadecimal: 0x781BB7ED5DF000000
  • Base-36: T82KDA3UR5S00

Squares and roots of 138475413424538910720

  • 138475413424538910720 squared (1384754134245389107202) is 19175440123096971173277541435324130918400
  • 138475413424538910720 cubed (1384754134245389107203) is 2655326998643344384704872968715609630983681169428209205248000
  • The square root of 138475413424538910720 is 11767557666.0808809787
  • The cube root of 138475413424538910720 is 5173576.6774941257

Scales and comparisons

How big is 138475413424538910720?
  • 138,475,413,424,538,910,720 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,475,413,424,538,910,720 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 138475413424538910720 cubic inches would be around 431131.4 feet tall.

Recreational maths with 138475413424538910720

  • 138475413424538910720 backwards is 027019835424314574831
  • 138475413424538910720 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138475413424538910720's digits is 81
  • More coming soon!

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"Number 138475413424538910720 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 138475413424538910720 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138475413424538910720/

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Numbermatics. 2024. "Number 138475413424538910720 - Facts about the integer". https://numbermatics.com/n/138475413424538910720/

The information we have on file for 138475413424538910720 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 138475413424538910720, math, Factors of 138475413424538910720, curriculum, school, college, exams, university, Prime factorization of 138475413424538910720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred seventy-five quadrillion, four hundred thirteen trillion, four hundred twenty-four billion, five hundred thirty-eight million, nine hundred ten thousand, seven hundred twenty.

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