138388518680924768256

138,388,518,680,924,768,256 is an even composite number composed of six prime numbers multiplied together.

What does the number 138388518680924768256 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 13824 divisors.

138388518680924768256 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirteen thousand, eight hundred twenty-four divisors.

Prime factorization of 138388518680924768256:

211 × 33 × 73 × 112 × 137 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 31 × 31)

See below for interesting mathematical facts about the number 138388518680924768256 from the Numbermatics database.


Names of 138388518680924768256

  • Cardinal: 138388518680924768256 can be written as One hundred thirty-eight quintillion, three hundred eighty-eight quadrillion, five hundred eighteen trillion, six hundred eighty billion, nine hundred twenty-four million, seven hundred sixty-eight thousand, two hundred fifty-six.

Scientific notation

  • Scientific notation: 1.38388518680924768256 × 1020

Factors of 138388518680924768256

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 28
  • Sum of prime factors: 67

Divisors of 138388518680924768256

Bases of 138388518680924768256

  • Binary: 11110000000100001101100100010000110110010010000011111001000000000002
  • Hexadecimal: 0x78086C886C907C800
  • Base-36: T7ESRNXQ33EO0

Squares and roots of 138388518680924768256

  • 138388518680924768256 squared (1383885186809247682562) is 19151382102700663560541109240487305281536
  • 138388518680924768256 cubed (1383885186809247682563) is 2650331399885119047823442712566022411265338324987825635721216
  • The square root of 138388518680924768256 is 11763864955.0615280877
  • The cube root of 138388518680924768256 is 5172494.2935665811

Scales and comparisons

How big is 138388518680924768256?
  • 138,388,518,680,924,768,256 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,388,518,680,924,768,256 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 138388518680924768256 cubic inches would be around 431041.2 feet tall.

Recreational maths with 138388518680924768256

  • 138388518680924768256 backwards is 652867429086815883831
  • 138388518680924768256 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138388518680924768256's digits is 108
  • More coming soon!

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"Number 138388518680924768256 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.

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Numbermatics. (2024). Number 138388518680924768256 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138388518680924768256/

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Numbermatics. 2024. "Number 138388518680924768256 - Facts about the integer". https://numbermatics.com/n/138388518680924768256/

The information we have on file for 138388518680924768256 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 138388518680924768256, math, Factors of 138388518680924768256, curriculum, school, college, exams, university, Prime factorization of 138388518680924768256, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred eighty-eight quadrillion, five hundred eighteen trillion, six hundred eighty billion, nine hundred twenty-four million, seven hundred sixty-eight thousand, two hundred fifty-six.

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