138220623349345280878182400

138,220,623,349,345,280,878,182,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138220623349345280878182400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 15309 divisors.

138220623349345280878182400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fifteen thousand, three hundred nine divisors.

Prime factorization of 138220623349345280878182400:

220 × 52 × 112 × 292 × 312 × 892 × 26092

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 29 × 29 × 31 × 31 × 89 × 89 × 2609 × 2609)

See below for interesting mathematical facts about the number 138220623349345280878182400 from the Numbermatics database.


Names of 138220623349345280878182400

  • Cardinal: 138220623349345280878182400 can be written as One hundred thirty-eight septillion, two hundred twenty sextillion, six hundred twenty-three quintillion, three hundred forty-nine quadrillion, three hundred forty-five trillion, two hundred eighty billion, eight hundred seventy-eight million, one hundred eighty-two thousand, four hundred.

Scientific notation

  • Scientific notation: 1.382206233493452808781824 × 1026

Factors of 138220623349345280878182400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 32
  • Sum of prime factors: 2776

Divisors of 138220623349345280878182400

Bases of 138220623349345280878182400

  • Binary: 1110010010101010101101100000001100000011000110100000111000100101001000000000000000000002
  • Hexadecimal: 0x72555B01818D0712900000
  • Base-36: HD81QGRICZALRLC74

Squares and roots of 138220623349345280878182400

  • 138220623349345280878182400 squared (1382206233493452808781824002) is 19104940719081573852226842143126553609348327669760000
  • 138220623349345280878182400 cubed (1382206233493452808781824003) is 2640696815243744007343880511133254521059183998287187960190231561816244224000000
  • 138220623349345280878182400 is a perfect square number. Its square root is 11756726727680
  • The cube root of 138220623349345280878182400 is 517040166.0712207727

Scales and comparisons

How big is 138220623349345280878182400?
  • 138,220,623,349,345,280,878,182,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,220,623,349,345,280,878,182,400 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 138220623349345280878182400 cubic inches would be around 43086680.5 feet tall.

Recreational maths with 138220623349345280878182400

  • 138220623349345280878182400 backwards is 004281878082543943326022831
  • The number of decimal digits it has is: 27
  • The sum of 138220623349345280878182400's digits is 103
  • More coming soon!

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"Number 138220623349345280878182400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

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Numbermatics. (2024). Number 138220623349345280878182400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138220623349345280878182400/

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Numbermatics. 2024. "Number 138220623349345280878182400 - Facts about the integer". https://numbermatics.com/n/138220623349345280878182400/

The information we have on file for 138220623349345280878182400 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 138220623349345280878182400, math, Factors of 138220623349345280878182400, curriculum, school, college, exams, university, Prime factorization of 138220623349345280878182400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, two hundred twenty sextillion, six hundred twenty-three quintillion, three hundred forty-nine quadrillion, three hundred forty-five trillion, two hundred eighty billion, eight hundred seventy-eight million, one hundred eighty-two thousand, four hundred.

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