138240544145243904000

138,240,544,145,243,904,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138240544145243904000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 31104 divisors.

138240544145243904000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirty-one thousand, one hundred four divisors.

Prime factorization of 138240544145243904000:

211 × 38 × 53 × 73 × 132 × 175

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 17 × 17)

See below for interesting mathematical facts about the number 138240544145243904000 from the Numbermatics database.


Names of 138240544145243904000

  • Cardinal: 138240544145243904000 can be written as One hundred thirty-eight quintillion, two hundred forty quadrillion, five hundred forty-four trillion, one hundred forty-five billion, two hundred forty-three million, nine hundred four thousand.

Scientific notation

  • Scientific notation: 1.38240544145243904 × 1020

Factors of 138240544145243904000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 32
  • Sum of prime factors: 47

Divisors of 138240544145243904000

Bases of 138240544145243904000

  • Binary: 11101111110011110010001001001111000011001011111100000011000000000002
  • Hexadecimal: 0x77E79127865F81800
  • Base-36: T6ABR2IHK0000

Squares and roots of 138240544145243904000

  • 138240544145243904000 squared (1382405441452439040002) is 19110448045573128624383343649161216000000
  • 138240544145243904000 cubed (1382405441452439040003) is 2641838736679442174144936209498578067719285337227264000000000
  • The square root of 138240544145243904000 is 11757573905.5828989505
  • The cube root of 138240544145243904000 is 5170650.0403580701

Scales and comparisons

How big is 138240544145243904000?
  • 138,240,544,145,243,904,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,240,544,145,243,904,000 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 138240544145243904000 cubic inches would be around 430887.5 feet tall.

Recreational maths with 138240544145243904000

  • 138240544145243904000 backwards is 000409342541445042831
  • 138240544145243904000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138240544145243904000's digits is 63
  • More coming soon!

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"Number 138240544145243904000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.

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Numbermatics. (2024). Number 138240544145243904000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138240544145243904000/

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Numbermatics. 2024. "Number 138240544145243904000 - Facts about the integer". https://numbermatics.com/n/138240544145243904000/

The information we have on file for 138240544145243904000 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 138240544145243904000, math, Factors of 138240544145243904000, curriculum, school, college, exams, university, Prime factorization of 138240544145243904000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred forty quadrillion, five hundred forty-four trillion, one hundred forty-five billion, two hundred forty-three million, nine hundred four thousand.

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