138326037465268224

138,326,037,465,268,224 is an even composite number composed of six prime numbers multiplied together.

What does the number 138326037465268224 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 7776 divisors.

138326037465268224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, seven hundred seventy-six divisors.

Prime factorization of 138326037465268224:

217 × 35 × 112 × 133 × 17 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 13 × 17 × 31 × 31)

See below for interesting mathematical facts about the number 138326037465268224 from the Numbermatics database.


Names of 138326037465268224

  • Cardinal: 138326037465268224 can be written as One hundred thirty-eight quadrillion, three hundred twenty-six trillion, thirty-seven billion, four hundred sixty-five million, two hundred sixty-eight thousand, two hundred twenty-four.

Scientific notation

  • Scientific notation: 1.38326037465268224 × 1017

Factors of 138326037465268224

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 77

Divisors of 138326037465268224

Bases of 138326037465268224

  • Binary: 1111010110110111011001100010101100100111000000000000000002
  • Hexadecimal: 0x1EB6ECC564E0000
  • Base-36: 11U0HKCIDC00

Squares and roots of 138326037465268224

  • 138326037465268224 squared (1383260374652682242) is 19134092640842788352371096264114176
  • 138326037465268224 cubed (1383260374652682243) is 2646743215501132553669647299476005429337949600743424
  • The square root of 138326037465268224 is 371922085.2077330241
  • The cube root of 138326037465268224 is 517171.5730949441

Scales and comparisons

How big is 138326037465268224?
  • 138,326,037,465,268,224 seconds is equal to 4,398,340,120 years, 45 weeks, 1 day, 3 hours, 50 minutes, 24 seconds.
  • To count from 1 to 138,326,037,465,268,224 would take you about thirteen billion, one hundred ninety-five million, twenty thousand, three hundred sixty-two 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 138326037465268224 cubic inches would be around 43097.6 feet tall.

Recreational maths with 138326037465268224

  • 138326037465268224 backwards is 422862564730623831
  • 138326037465268224 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138326037465268224's digits is 72
  • More coming soon!

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"Number 138326037465268224 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 138326037465268224 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138326037465268224/

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Numbermatics. 2024. "Number 138326037465268224 - Facts about the integer". https://numbermatics.com/n/138326037465268224/

The information we have on file for 138326037465268224 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 138326037465268224, math, Factors of 138326037465268224, curriculum, school, college, exams, university, Prime factorization of 138326037465268224, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred twenty-six trillion, thirty-seven billion, four hundred sixty-five million, two hundred sixty-eight thousand, two hundred twenty-four.

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