38628144

38,628,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 38628144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

38628144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 38628144:

2⁴ × 3³ × 89417

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 89417)

See below for interesting mathematical facts about the number 38628144 from the Numbermatics database.

Names of 38628144

Cardinal: 38628144 can be written as Thirty-eight million, six hundred twenty-eight thousand, one hundred forty-four.

Scientific notation

Scientific notation: 3.8628144 × 10⁷

Factors of 38628144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 89422

Divisors of 38628144

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 89417 178834 268251 357668 536502 715336 804753 1073004 1430672 1609506 2146008 2414259 3219012 4292016 4828518 6438024 9657036 12876048 19314072 38628144
Sum of all divisors σ(n): 110878320
Sum of proper divisors (its aliquot sum) s(n): 72250176
38628144 is an abundant number, because the sum of its proper divisors (72250176) is greater than itself. Its abundance is 33622032

Bases of 38628144

Binary: 10010011010110101100110000₂
Hexadecimal: 0x24D6B30
Base-36: MZXO0

Squares and roots of 38628144

38628144 squared (38628144²) is 1492133508884736
38628144 cubed (38628144³) is 57638348048424861609984
The square root of 38628144 is 6215.1543826361
The cube root of 38628144 is 338.0398865199

Scales and comparisons

How big is 38628144?

38,628,144 seconds is equal to 1 year, 11 weeks, 6 days, 2 hours, 2 minutes, 24 seconds.
To count from 1 to 38,628,144 would take you about forty-three weeks!

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 38628144 cubic inches would be around 28.2 feet tall.

Recreational maths with 38628144

38628144 backwards is 44182683
38628144 is a Harshad number.
The number of decimal digits it has is: 8
The sum of 38628144's digits is 36
More coming soon!

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The information we have on file for 38628144 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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