135742195306317600

135,742,195,306,317,600 is an even composite number composed of seven prime numbers multiplied together.

What does the number 135742195306317600 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 13824 divisors.

135742195306317600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirteen thousand, eight hundred twenty-four divisors.

Prime factorization of 135742195306317600:

25 × 33 × 52 × 73 × 112 × 133 × 413

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 13 × 41 × 41 × 41)

See below for interesting mathematical facts about the number 135742195306317600 from the Numbermatics database.


Names of 135742195306317600

  • Cardinal: 135742195306317600 can be written as One hundred thirty-five quadrillion, seven hundred forty-two trillion, one hundred ninety-five billion, three hundred six million, three hundred seventeen thousand, six hundred.

Scientific notation

  • Scientific notation: 1.357421953063176 × 1017

Factors of 135742195306317600

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 82

Divisors of 135742195306317600

Bases of 135742195306317600

  • Binary: 1111000100100000011001110101101000100001111000111001000002
  • Hexadecimal: 0x1E240CEB443C720
  • Base-36: 114KLBN9RBC0

Squares and roots of 135742195306317600

  • 135742195306317600 squared (1357421953063176002) is 18425943586578471876094472069760000
  • 135742195306317600 cubed (1357421953063176003) is 2501178033032525129382941382868171580875915776000000
  • The square root of 135742195306317600 is 368432076.9237086935
  • The cube root of 135742195306317600 is 513931.1672656309

Scales and comparisons

How big is 135742195306317600?
  • 135,742,195,306,317,600 seconds is equal to 4,316,181,932 years, 29 weeks, 1 day, 18 hours.
  • To count from 1 to 135,742,195,306,317,600 would take you about twelve billion, nine hundred forty-eight million, five hundred forty-five thousand, seven hundred ninety-seven 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 135742195306317600 cubic inches would be around 42827.6 feet tall.

Recreational maths with 135742195306317600

  • 135742195306317600 backwards is 006713603591247531
  • 135742195306317600 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 135742195306317600's digits is 63
  • More coming soon!

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"Number 135742195306317600 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.

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Numbermatics. (2024). Number 135742195306317600 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/135742195306317600/

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The information we have on file for 135742195306317600 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 135742195306317600, math, Factors of 135742195306317600, curriculum, school, college, exams, university, Prime factorization of 135742195306317600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, seven hundred forty-two trillion, one hundred ninety-five billion, three hundred six million, three hundred seventeen thousand, six hundred.

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