138314645004339460800

138,314,645,004,339,460,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138314645004339460800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 10206 divisors.

138314645004339460800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand, two hundred six divisors.

Prime factorization of 138314645004339460800:

26 × 35 × 52 × 112 × 132 × 412 × 32172

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 41 × 41 × 3217 × 3217)

See below for interesting mathematical facts about the number 138314645004339460800 from the Numbermatics database.


Names of 138314645004339460800

  • Cardinal: 138314645004339460800 can be written as One hundred thirty-eight quintillion, three hundred fourteen quadrillion, six hundred forty-five trillion, four billion, three hundred thirty-nine million, four hundred sixty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.383146450043394608 × 1020

Factors of 138314645004339460800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 3292

Divisors of 138314645004339460800

Bases of 138314645004339460800

  • Binary: 11101111111100000000101010011001111000111011110100100111010110000002
  • Hexadecimal: 0x77F8054CF1DE93AC0
  • Base-36: T6ULDMR7I0C00

Squares and roots of 138314645004339460800

  • 138314645004339460800 squared (1383146450043394608002) is 19130941022676446960105662920034736640000
  • 138314645004339460800 cubed (1383146450043394608003) is 2646089316150447679783360281940925674129597074287603712000000
  • The square root of 138314645004339460800 is 11760724680.2371604877
  • The cube root of 138314645004339460800 is 5171573.7471068851

Scales and comparisons

How big is 138314645004339460800?
  • 138,314,645,004,339,460,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,314,645,004,339,460,800 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 138314645004339460800 cubic inches would be around 430964.5 feet tall.

Recreational maths with 138314645004339460800

  • 138314645004339460800 backwards is 008064933400546413831
  • 138314645004339460800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138314645004339460800's digits is 72
  • More coming soon!

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"Number 138314645004339460800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.

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The information we have on file for 138314645004339460800 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 138314645004339460800, math, Factors of 138314645004339460800, curriculum, school, college, exams, university, Prime factorization of 138314645004339460800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred fourteen quadrillion, six hundred forty-five trillion, four billion, three hundred thirty-nine million, four hundred sixty thousand, eight hundred.

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