138507313201569000000

138,507,313,201,569,000,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138507313201569000000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 19845 divisors.

138507313201569000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nineteen thousand, eight hundred forty-five divisors.

Prime factorization of 138507313201569000000:

26 × 34 × 56 × 132 × 172 × 612 × 972

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 61 × 61 × 97 × 97)

See below for interesting mathematical facts about the number 138507313201569000000 from the Numbermatics database.


Names of 138507313201569000000

  • Cardinal: 138507313201569000000 can be written as One hundred thirty-eight quintillion, five hundred seven quadrillion, three hundred thirteen trillion, two hundred one billion, five hundred sixty-nine million.

Scientific notation

  • Scientific notation: 1.38507313201569 × 1020

Factors of 138507313201569000000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 198

Divisors of 138507313201569000000

Bases of 138507313201569000000

  • Binary: 11110000010001011001101001110000011011111010100101011101010010000002
  • Hexadecimal: 0x7822CD3837D4AEA40
  • Base-36: T8BAGT3431G00

Squares and roots of 138507313201569000000

  • 138507313201569000000 squared (1385073132015690000002) is 19184275810317530188824061761000000000000
  • 138507313201569000000 cubed (1385073132015690000003) is 2657162498204934074060297666893235498103009000000000000000000
  • 138507313201569000000 is a perfect square number. Its square root is 11768913000
  • The cube root of 138507313201569000000 is 5173973.9159333307

Scales and comparisons

How big is 138507313201569000000?
  • 138,507,313,201,569,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,507,313,201,569,000,000 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 138507313201569000000 cubic inches would be around 431164.5 feet tall.

Recreational maths with 138507313201569000000

  • 138507313201569000000 backwards is 000000965102313705831
  • 138507313201569000000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138507313201569000000's digits is 54
  • More coming soon!

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"Number 138507313201569000000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.

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Numbermatics. (2024). Number 138507313201569000000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138507313201569000000/

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The information we have on file for 138507313201569000000 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 138507313201569000000, math, Factors of 138507313201569000000, curriculum, school, college, exams, university, Prime factorization of 138507313201569000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, five hundred seven quadrillion, three hundred thirteen trillion, two hundred one billion, five hundred sixty-nine million.

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