828134146382400

828,134,146,382,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 828134146382400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 4725 divisors.

828134146382400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, seven hundred twenty-five divisors.

Prime factorization of 828134146382400:

26 × 34 × 52 × 112 × 134 × 432

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 43 × 43)

See below for interesting mathematical facts about the number 828134146382400 from the Numbermatics database.


Names of 828134146382400

  • Cardinal: 828134146382400 can be written as Eight hundred twenty-eight trillion, one hundred thirty-four billion, one hundred forty-six million, three hundred eighty-two thousand, four hundred.

Scientific notation

  • Scientific notation: 8.281341463824 × 1014

Factors of 828134146382400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 77

Divisors of 828134146382400

Bases of 828134146382400

  • Binary: 101111000100101111000000011001111100011010010000002
  • Hexadecimal: 0x2F12F019F1A40
  • Base-36: 85JRKOYS00

Squares and roots of 828134146382400

  • 828134146382400 squared (8281341463824002) is 685806164404506311007029760000
  • 828134146382400 cubed (8281341463824003) is 567939502542913709685700203623273140224000000
  • 828134146382400 is a perfect square number. Its square root is 28777320
  • The cube root of 828134146382400 is 93907.4895792947

Scales and comparisons

How big is 828134146382400?
  • 828,134,146,382,400 seconds is equal to 26,332,104 years, 13 weeks, 6 days, 12 hours.
  • To count from 1 to 828,134,146,382,400 would take you about sixty-five million, eight hundred thirty thousand, two hundred sixty 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 828134146382400 cubic inches would be around 7825.6 feet tall.

Recreational maths with 828134146382400

  • 828134146382400 backwards is 004283641431828
  • 828134146382400 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 828134146382400's digits is 54
  • More coming soon!

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"Number 828134146382400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.

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Numbermatics. (2024). Number 828134146382400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/828134146382400/

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Numbermatics. 2024. "Number 828134146382400 - Facts about the integer". https://numbermatics.com/n/828134146382400/

The information we have on file for 828134146382400 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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