146097166988993220

146,097,166,988,993,220 is an even composite number composed of seven prime numbers multiplied together.

What does the number 146097166988993220 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4032 divisors.

146097166988993220 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.

Prime factorization of 146097166988993220:

22 × 32 × 5 × 7 × 116 × 133 × 313

(2 × 2 × 3 × 3 × 5 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 31 × 31 × 31)

See below for interesting mathematical facts about the number 146097166988993220 from the Numbermatics database.


Names of 146097166988993220

  • Cardinal: 146097166988993220 can be written as One hundred forty-six quadrillion, ninety-seven trillion, one hundred sixty-six billion, nine hundred eighty-eight million, nine hundred ninety-three thousand, two hundred twenty.

Scientific notation

  • Scientific notation: 1.4609716698899322 × 1017

Factors of 146097166988993220

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 72

Divisors of 146097166988993220

Bases of 146097166988993220

  • Binary: 10000001110000101010011001011011010001000111100010110001002
  • Hexadecimal: 0x2070A996D11E2C4
  • Base-36: 13YJ4FYS6EH0

Squares and roots of 146097166988993220

  • 146097166988993220 squared (1460971669889932202) is 21344382202209770248536629205968400
  • 146097166988993220 cubed (1460971669889932203) is 3118353770873135653896448967745254731911131134248000
  • The square root of 146097166988993220 is 382226591.1589527545
  • The cube root of 146097166988993220 is 526680.5310982275

Scales and comparisons

How big is 146097166988993220?
  • 146,097,166,988,993,220 seconds is equal to 4,645,438,002 years, 2 weeks, 23 hours, 27 minutes.
  • To count from 1 to 146,097,166,988,993,220 would take you about thirteen billion, nine hundred thirty-six million, three hundred fourteen thousand and six 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 146097166988993220 cubic inches would be around 43890 feet tall.

Recreational maths with 146097166988993220

  • 146097166988993220 backwards is 022399889661790641
  • 146097166988993220 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 146097166988993220's digits is 90
  • More coming soon!

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"Number 146097166988993220 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.

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Numbermatics. (2024). Number 146097166988993220 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/146097166988993220/

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The information we have on file for 146097166988993220 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 146097166988993220, math, Factors of 146097166988993220, curriculum, school, college, exams, university, Prime factorization of 146097166988993220, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six quadrillion, ninety-seven trillion, one hundred sixty-six billion, nine hundred eighty-eight million, nine hundred ninety-three thousand, two hundred twenty.

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