138644768457072000

138,644,768,457,072,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138644768457072000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 7488 divisors.

138644768457072000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, four hundred eighty-eight divisors.

Prime factorization of 138644768457072000:

27 × 312 × 53 × 192 × 312 × 47

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 31 × 31 × 47)

See below for interesting mathematical facts about the number 138644768457072000 from the Numbermatics database.


Names of 138644768457072000

  • Cardinal: 138644768457072000 can be written as One hundred thirty-eight quadrillion, six hundred forty-four trillion, seven hundred sixty-eight billion, four hundred fifty-seven million, seventy-two thousand.

Scientific notation

  • Scientific notation: 1.38644768457072 × 1017

Factors of 138644768457072000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 107

Divisors of 138644768457072000

Bases of 138644768457072000

  • Binary: 1111011001001000010101110101011011101100110011101100000002
  • Hexadecimal: 0x1EC90AEADD99D80
  • Base-36: 11X5GVCDI000

Squares and roots of 138644768457072000

  • 138644768457072000 squared (1386447684570720002) is 19222371820515107007506813184000000
  • 138644768457072000 cubed (1386447684570720003) is 2665081290251062584297437362450175427637248000000000
  • The square root of 138644768457072000 is 372350330.2765716629
  • The cube root of 138644768457072000 is 517568.4908075491

Scales and comparisons

How big is 138644768457072000?
  • 138,644,768,457,072,000 seconds is equal to 4,408,474,780 years, 26 weeks, 3 days.
  • To count from 1 to 138,644,768,457,072,000 would take you about thirteen billion, two hundred twenty-five million, four hundred twenty-four thousand, three hundred forty-one 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 138644768457072000 cubic inches would be around 43130.7 feet tall.

Recreational maths with 138644768457072000

  • 138644768457072000 backwards is 000270754867446831
  • 138644768457072000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138644768457072000's digits is 72
  • More coming soon!

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"Number 138644768457072000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.

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The information we have on file for 138644768457072000 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 138644768457072000, math, Factors of 138644768457072000, curriculum, school, college, exams, university, Prime factorization of 138644768457072000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred forty-four trillion, seven hundred sixty-eight billion, four hundred fifty-seven million, seventy-two thousand.

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