138946145385168000

138,946,145,385,168,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138946145385168000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 12288 divisors.

138946145385168000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand, two hundred eighty-eight divisors.

Prime factorization of 138946145385168000:

27 × 37 × 53 × 11 × 192 × 293 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 19 × 19 × 29 × 29 × 29 × 41)

See below for interesting mathematical facts about the number 138946145385168000 from the Numbermatics database.


Names of 138946145385168000

  • Cardinal: 138946145385168000 can be written as One hundred thirty-eight quadrillion, nine hundred forty-six trillion, one hundred forty-five billion, three hundred eighty-five million, one hundred sixty-eight thousand.

Scientific notation

  • Scientific notation: 1.38946145385168 × 1017

Factors of 138946145385168000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 110

Divisors of 138946145385168000

Bases of 138946145385168000

  • Binary: 1111011011010001011001000011101101001011110111100100000002
  • Hexadecimal: 0x1EDA2C87697BC80
  • Base-36: 1204APZR6000

Squares and roots of 138946145385168000

  • 138946145385168000 squared (1389461453851680002) is 19306031317396242703074388224000000
  • 138946145385168000 cubed (1389461453851680003) is 2682498634237544831535441901415952443461632000000000
  • The square root of 138946145385168000 is 372754805.9853393761
  • The cube root of 138946145385168000 is 517943.2382474467

Scales and comparisons

How big is 138946145385168000?
  • 138,946,145,385,168,000 seconds is equal to 4,418,057,634 years, 31 weeks, 2 days.
  • To count from 1 to 138,946,145,385,168,000 would take you about thirteen billion, two hundred fifty-four million, one hundred seventy-two thousand, nine hundred three 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 138946145385168000 cubic inches would be around 43161.9 feet tall.

Recreational maths with 138946145385168000

  • 138946145385168000 backwards is 000861583541649831
  • 138946145385168000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138946145385168000's digits is 72
  • More coming soon!

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"Number 138946145385168000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.

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Numbermatics. (2024). Number 138946145385168000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138946145385168000/

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The information we have on file for 138946145385168000 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!

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