12744

12,744 is an even composite number composed of three prime numbers multiplied together.

What does the number 12744 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

12744 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 12744:

2³ × 3³ × 59

(2 × 2 × 2 × 3 × 3 × 3 × 59)

See below for interesting mathematical facts about the number 12744 from the Numbermatics database.

Names of 12744

Cardinal: 12744 can be written as Twelve thousand, seven hundred forty-four.

Scientific notation

Scientific notation: 1.2744 × 10⁴

Factors of 12744

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 64

Divisors of 12744

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744
Sum of all divisors σ(n): 36000
Sum of proper divisors (its aliquot sum) s(n): 23256
12744 is an abundant number, because the sum of its proper divisors (23256) is greater than itself. Its abundance is 10512

Bases of 12744

Binary: 11000111001000₂
Hexadecimal: 0x31C8
Base-36: 9U0

Squares and roots of 12744

12744 squared (12744²) is 162409536
12744 cubed (12744³) is 2069747126784
The square root of 12744 is 112.8893263333
The cube root of 12744 is 23.3579784953

Scales and comparisons

How big is 12744?

12,744 seconds is equal to 3 hours, 32 minutes, 24 seconds.
To count from 1 to 12,744 would take you about three 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 12744 cubic inches would be around 1.9 feet tall.

Recreational maths with 12744

12744 backwards is 44721
12744 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 12744's digits is 18
More coming soon!

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The information we have on file for 12744 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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