134838400331980800

134,838,400,331,980,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 134838400331980800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 10752 divisors.

134838400331980800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of ten thousand, seven hundred fifty-two divisors.

Prime factorization of 134838400331980800:

213 × 37 × 52 × 7 × 13 × 61 × 193 × 281

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 61 × 193 × 281)

See below for interesting mathematical facts about the number 134838400331980800 from the Numbermatics database.


Names of 134838400331980800

  • Cardinal: 134838400331980800 can be written as One hundred thirty-four quadrillion, eight hundred thirty-eight trillion, four hundred billion, three hundred thirty-one million, nine hundred eighty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.348384003319808 × 1017

Factors of 134838400331980800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 565

Divisors of 134838400331980800

Bases of 134838400331980800

  • Binary: 1110111110000101011001111100010011101111010100000000000002
  • Hexadecimal: 0x1DF0ACF89DEA000
  • Base-36: 10VO81YTC000

Squares and roots of 134838400331980800

  • 134838400331980800 squared (1348384003319808002) is 18181394204087519915651251568640000
  • 134838400331980800 cubed (1348384003319808003) is 2451550110284308438382887851126742792758362112000000
  • The square root of 134838400331980800 is 367203486.2742738177
  • The cube root of 134838400331980800 is 512788.0122414101

Scales and comparisons

How big is 134838400331980800?
  • 134,838,400,331,980,800 seconds is equal to 4,287,444,048 years.
  • To count from 1 to 134,838,400,331,980,800 would take you about twelve billion, eight hundred sixty-two million, three hundred thirty-two thousand, one hundred forty-four 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 134838400331980800 cubic inches would be around 42732.3 feet tall.

Recreational maths with 134838400331980800

  • 134838400331980800 backwards is 008089133004838431
  • 134838400331980800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 134838400331980800's digits is 63
  • More coming soon!

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"Number 134838400331980800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.

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Numbermatics. (2024). Number 134838400331980800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/134838400331980800/

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The information we have on file for 134838400331980800 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 134838400331980800, math, Factors of 134838400331980800, curriculum, school, college, exams, university, Prime factorization of 134838400331980800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quadrillion, eight hundred thirty-eight trillion, four hundred billion, three hundred thirty-one million, nine hundred eighty thousand, eight hundred.

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