138475307824995188736

138,475,307,824,995,188,736 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138475307824995188736 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4860 divisors.

138475307824995188736 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, eight hundred sixty divisors.

Prime factorization of 138475307824995188736:

214 × 32 × 132 × 17 × 37 × 1932 × 4872

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 37 × 193 × 193 × 487 × 487)

See below for interesting mathematical facts about the number 138475307824995188736 from the Numbermatics database.


Names of 138475307824995188736

  • Cardinal: 138475307824995188736 can be written as One hundred thirty-eight quintillion, four hundred seventy-five quadrillion, three hundred seven trillion, eight hundred twenty-four billion, nine hundred ninety-five million, one hundred eighty-eight thousand, seven hundred thirty-six.

Scientific notation

  • Scientific notation: 1.38475307824995188736 × 1020

Factors of 138475307824995188736

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 752

Divisors of 138475307824995188736

Bases of 138475307824995188736

  • Binary: 11110000001101110110001111011001011000011111011010101000000000000002
  • Hexadecimal: 0x781BB1ECB0FB54000
  • Base-36: T82JBUK3DBSW0

Squares and roots of 138475307824995188736

  • 138475307824995188736 squared (1384753078249951887362) is 19175410877227173748098145341548261277696
  • 138475307824995188736 cubed (1384753078249951887363) is 2655320923894793909258610872961609272847332847917452027232256
  • The square root of 138475307824995188736 is 11767553179.1870474953
  • The cube root of 138475307824995188736 is 5173575.3623930981

Scales and comparisons

How big is 138475307824995188736?
  • 138,475,307,824,995,188,736 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,475,307,824,995,188,736 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 138475307824995188736 cubic inches would be around 431131.3 feet tall.

Recreational maths with 138475307824995188736

  • 138475307824995188736 backwards is 637881599428703574831
  • The number of decimal digits it has is: 21
  • The sum of 138475307824995188736's digits is 108
  • More coming soon!

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"Number 138475307824995188736 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.

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Numbermatics. (2024). Number 138475307824995188736 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138475307824995188736/

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Numbermatics. 2024. "Number 138475307824995188736 - Facts about the integer". https://numbermatics.com/n/138475307824995188736/

The information we have on file for 138475307824995188736 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 138475307824995188736, math, Factors of 138475307824995188736, curriculum, school, college, exams, university, Prime factorization of 138475307824995188736, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred seventy-five quadrillion, three hundred seven trillion, eight hundred twenty-four billion, nine hundred ninety-five million, one hundred eighty-eight thousand, seven hundred thirty-six.

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