404142944047920

404,142,944,047,920 is an even composite number composed of ten prime numbers multiplied together.

What does the number 404142944047920 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 7680 divisors.

404142944047920 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of seven thousand, six hundred eighty divisors.

Prime factorization of 404142944047920:

24 × 35 × 5 × 7 × 11 × 17 × 19 × 61 × 71 × 193

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 17 × 19 × 61 × 71 × 193)

See below for interesting mathematical facts about the number 404142944047920 from the Numbermatics database.


Names of 404142944047920

  • Cardinal: 404142944047920 can be written as Four hundred four trillion, one hundred forty-two billion, nine hundred forty-four million, forty-seven thousand, nine hundred twenty.

Scientific notation

  • Scientific notation: 4.0414294404792 × 1014

Factors of 404142944047920

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 17
  • Sum of prime factors: 389

Divisors of 404142944047920

Bases of 404142944047920

  • Binary: 10110111110010000110111001001111001010011001100002
  • Hexadecimal: 0x16F90DC9E5330
  • Base-36: 3Z98PE8300

Squares and roots of 404142944047920

  • 404142944047920 squared (4041429440479202) is 163331519223720195755256326400
  • 404142944047920 cubed (4041429440479203) is 66009281034893720945986267006512804761088000
  • The square root of 404142944047920 is 20103306.7938565769
  • The cube root of 404142944047920 is 73934.1356996653

Scales and comparisons

How big is 404142944047920?
  • 404,142,944,047,920 seconds is equal to 12,850,495 years, 27 weeks, 1 day, 22 hours, 12 minutes.
  • To count from 1 to 404,142,944,047,920 would take you about thirty-two million, one hundred twenty-six thousand, two hundred thirty-eight 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 404142944047920 cubic inches would be around 6161.2 feet tall.

Recreational maths with 404142944047920

  • 404142944047920 backwards is 029740449241404
  • 404142944047920 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 404142944047920's digits is 54
  • More coming soon!

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"Number 404142944047920 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.

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Numbermatics. (2024). Number 404142944047920 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/404142944047920/

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Numbermatics. 2024. "Number 404142944047920 - Facts about the integer". https://numbermatics.com/n/404142944047920/

The information we have on file for 404142944047920 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 404142944047920, math, Factors of 404142944047920, curriculum, school, college, exams, university, Prime factorization of 404142944047920, STEM, science, technology, engineering, physics, economics, calculator, four hundred four trillion, one hundred forty-two billion, nine hundred forty-four million, forty-seven thousand, nine hundred twenty.

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