138240225312883200

138,240,225,312,883,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138240225312883200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 6720 divisors.

138240225312883200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, seven hundred twenty divisors.

Prime factorization of 138240225312883200:

29 × 36 × 52 × 133 × 31 × 37 × 5879

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 31 × 37 × 5879)

See below for interesting mathematical facts about the number 138240225312883200 from the Numbermatics database.


Names of 138240225312883200

  • Cardinal: 138240225312883200 can be written as One hundred thirty-eight quadrillion, two hundred forty trillion, two hundred twenty-five billion, three hundred twelve million, eight hundred eighty-three thousand, two hundred.

Scientific notation

  • Scientific notation: 1.382402253128832 × 1017

Factors of 138240225312883200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 5970

Divisors of 138240225312883200

Bases of 138240225312883200

  • Binary: 1111010110010000011000000101000110111000111000010000000002
  • Hexadecimal: 0x1EB20C0A371C200
  • Base-36: 11T62ISEG000

Squares and roots of 138240225312883200

  • 138240225312883200 squared (1382402253128832002) is 19110359894556713031335896842240000
  • 138240225312883200 cubed (1382402253128832003) is 2641820457633806841672873384774122782869946368000000
  • The square root of 138240225312883200 is 371806704.2333733927
  • The cube root of 138240225312883200 is 517064.6065229461

Scales and comparisons

How big is 138240225312883200?
  • 138,240,225,312,883,200 seconds is equal to 4,395,611,559 years, 44 weeks, 4 days.
  • To count from 1 to 138,240,225,312,883,200 would take you about thirteen billion, one hundred eighty-six million, eight hundred thirty-four thousand, six hundred seventy-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 138240225312883200 cubic inches would be around 43088.7 feet tall.

Recreational maths with 138240225312883200

  • 138240225312883200 backwards is 002388213522042831
  • 138240225312883200 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138240225312883200's digits is 54
  • More coming soon!

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"Number 138240225312883200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.

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Numbermatics. (2024). Number 138240225312883200 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138240225312883200/

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Numbermatics. 2024. "Number 138240225312883200 - Facts about the integer". https://numbermatics.com/n/138240225312883200/

The information we have on file for 138240225312883200 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 138240225312883200, math, Factors of 138240225312883200, curriculum, school, college, exams, university, Prime factorization of 138240225312883200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred forty trillion, two hundred twenty-five billion, three hundred twelve million, eight hundred eighty-three thousand, two hundred.

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