428238521309646028800

428,238,521,309,646,028,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 428238521309646028800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 19656 divisors.

428238521309646028800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nineteen thousand, six hundred fifty-six divisors.

Prime factorization of 428238521309646028800:

227 × 312 × 52 × 72 × 132 × 29

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 29)

See below for interesting mathematical facts about the number 428238521309646028800 from the Numbermatics database.


Names of 428238521309646028800

  • Cardinal: 428238521309646028800 can be written as Four hundred twenty-eight quintillion, two hundred thirty-eight quadrillion, five hundred twenty-one trillion, three hundred nine billion, six hundred forty-six million, twenty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.282385213096460288 × 1020

Factors of 428238521309646028800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 46
  • Sum of prime factors: 59

Divisors of 428238521309646028800

Bases of 428238521309646028800

  • Binary: 1011100110111000000001101101000111001111010000000000000000000000000002
  • Hexadecimal: 0x173700DA39E8000000
  • Base-36: 2IDJZYF4000000

Squares and roots of 428238521309646028800

  • 428238521309646028800 squared (4282385213096460288002) is 183388231133472155909551472751610429440000
  • 428238521309646028800 cubed (4282385213096460288003) is 78533904926189707140523908297288516198288036520758607872000000
  • The square root of 428238521309646028800 is 20693924743.9833420499
  • The cube root of 428238521309646028800 is 7537521.7255471553

Scales and comparisons

How big is 428238521309646028800?
  • 428,238,521,309,646,028,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 428,238,521,309,646,028,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 428238521309646028800 cubic inches would be around 628126.8 feet tall.

Recreational maths with 428238521309646028800

  • 428238521309646028800 backwards is 008820646903125832824
  • 428238521309646028800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 428238521309646028800's digits is 81
  • More coming soon!

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"Number 428238521309646028800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.

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Numbermatics. (2024). Number 428238521309646028800 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/428238521309646028800/

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Numbermatics. 2024. "Number 428238521309646028800 - Facts about the integer". https://numbermatics.com/n/428238521309646028800/

The information we have on file for 428238521309646028800 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 428238521309646028800, math, Factors of 428238521309646028800, curriculum, school, college, exams, university, Prime factorization of 428238521309646028800, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quintillion, two hundred thirty-eight quadrillion, five hundred twenty-one trillion, three hundred nine billion, six hundred forty-six million, twenty-eight thousand, eight hundred.

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