138582216276102144000

138,582,216,276,102,144,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138582216276102144000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 33600 divisors.

138582216276102144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirty-three thousand, six hundred divisors.

Prime factorization of 138582216276102144000:

213 × 39 × 53 × 72 × 134 × 173

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

See below for interesting mathematical facts about the number 138582216276102144000 from the Numbermatics database.


Names of 138582216276102144000

  • Cardinal: 138582216276102144000 can be written as One hundred thirty-eight quintillion, five hundred eighty-two quadrillion, two hundred sixteen trillion, two hundred seventy-six billion, one hundred two million, one hundred forty-four thousand.

Scientific notation

  • Scientific notation: 1.38582216276102144 × 1020

Factors of 138582216276102144000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 34
  • Sum of prime factors: 47

Divisors of 138582216276102144000

Bases of 138582216276102144000

  • Binary: 11110000011001101101110111101110110100010110110110011100000000000002
  • Hexadecimal: 0x78336EF768B6CE000
  • Base-36: T8VRZQCIO0000

Squares and roots of 138582216276102144000

  • 138582216276102144000 squared (1385822162761021440002) is 19205030667996349991974601921396736000000
  • 138582216276102144000 cubed (1385822162761021440003) is 2661475713621444604818966966943587874091134284201984000000000
  • The square root of 138582216276102144000 is 11772094812.5684981675
  • The cube root of 138582216276102144000 is 5174906.4219642981

Scales and comparisons

How big is 138582216276102144000?
  • 138,582,216,276,102,144,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,582,216,276,102,144,000 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 138582216276102144000 cubic inches would be around 431242.2 feet tall.

Recreational maths with 138582216276102144000

  • 138582216276102144000 backwards is 000441201672612285831
  • 138582216276102144000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138582216276102144000's digits is 63
  • More coming soon!

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"Number 138582216276102144000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

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Numbermatics. (2024). Number 138582216276102144000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138582216276102144000/

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The information we have on file for 138582216276102144000 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 138582216276102144000, math, Factors of 138582216276102144000, curriculum, school, college, exams, university, Prime factorization of 138582216276102144000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, five hundred eighty-two quadrillion, two hundred sixteen trillion, two hundred seventy-six billion, one hundred two million, one hundred forty-four thousand.

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