39144

39,144 is an even composite number composed of four prime numbers multiplied together.

What does the number 39144 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

39144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 39144:

2³ × 3 × 7 × 233

(2 × 2 × 2 × 3 × 7 × 233)

See below for interesting mathematical facts about the number 39144 from the Numbermatics database.

Names of 39144

Cardinal: 39144 can be written as Thirty-nine thousand, one hundred forty-four.

Scientific notation

Scientific notation: 3.9144 × 10⁴

Factors of 39144

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 245

Divisors of 39144

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 4893 5592 6524 9786 13048 19572 39144
Sum of all divisors σ(n): 112320
Sum of proper divisors (its aliquot sum) s(n): 73176
39144 is an abundant number, because the sum of its proper divisors (73176) is greater than itself. Its abundance is 34032

Bases of 39144

Binary: 1001100011101000₂
Hexadecimal: 0x98E8
Base-36: U7C

Squares and roots of 39144

39144 squared (39144²) is 1532252736
39144 cubed (39144³) is 59978501097984
The square root of 39144 is 197.8484268323
The cube root of 39144 is 33.9538011525

Scales and comparisons

How big is 39144?

39,144 seconds is equal to 10 hours, 52 minutes, 24 seconds.
To count from 1 to 39,144 would take you about ten hours.

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 39144 cubic inches would be around 2.8 feet tall.

Recreational maths with 39144

39144 backwards is 44193
39144 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 39144's digits is 21
More coming soon!

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The information we have on file for 39144 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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