972142418208000

972,142,418,208,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 972142418208000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.

972142418208000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.

Prime factorization of 972142418208000:

28 × 3 × 53 × 13 × 19 × 293 × 412

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 19 × 29 × 29 × 29 × 41 × 41)

See below for interesting mathematical facts about the number 972142418208000 from the Numbermatics database.


Names of 972142418208000

  • Cardinal: 972142418208000 can be written as Nine hundred seventy-two trillion, one hundred forty-two billion, four hundred eighteen million, two hundred eight thousand.

Scientific notation

  • Scientific notation: 9.72142418208 × 1014

Factors of 972142418208000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 112

Divisors of 972142418208000

Bases of 972142418208000

  • Binary: 110111010000101000100010111000001000100101000000002
  • Hexadecimal: 0x374288B822500
  • Base-36: 9KLG27TSLC

Squares and roots of 972142418208000

  • 972142418208000 squared (9721424182080002) is 945060881279297969931264000000
  • 972142418208000 cubed (9721424182080003) is 918733770480640325137564256502054912000000000
  • The square root of 972142418208000 is 31179198.4856570679
  • The cube root of 972142418208000 is 99062.6552404627

Scales and comparisons

How big is 972142418208000?
  • 972,142,418,208,000 seconds is equal to 30,911,121 years, 44 weeks, 6 days, 21 hours, 20 minutes.
  • To count from 1 to 972,142,418,208,000 would take you about seventy-seven million, two hundred seventy-seven thousand, eight hundred 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 972142418208000 cubic inches would be around 8255.2 feet tall.

Recreational maths with 972142418208000

  • 972142418208000 backwards is 000802814241279
  • 972142418208000 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 972142418208000's digits is 48
  • More coming soon!

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"Number 972142418208000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.

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Numbermatics. (2024). Number 972142418208000 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/972142418208000/

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The information we have on file for 972142418208000 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!

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