12144

12,144 is an even composite number composed of four prime numbers multiplied together.

What does the number 12144 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

12144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 12144:

2⁴ × 3 × 11 × 23

(2 × 2 × 2 × 2 × 3 × 11 × 23)

See below for interesting mathematical facts about the number 12144 from the Numbermatics database.

Names of 12144

Cardinal: 12144 can be written as Twelve thousand, one hundred forty-four.

Scientific notation

Scientific notation: 1.2144 × 10⁴

Factors of 12144

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 39

Divisors of 12144

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144
Sum of all divisors σ(n): 35712
Sum of proper divisors (its aliquot sum) s(n): 23568
12144 is an abundant number, because the sum of its proper divisors (23568) is greater than itself. Its abundance is 11424

Bases of 12144

Binary: 10111101110000₂
Hexadecimal: 0x2F70
Base-36: 9DC

Squares and roots of 12144

12144 squared (12144²) is 147476736
12144 cubed (12144³) is 1790957481984
The square root of 12144 is 110.1998185117
The cube root of 12144 is 22.9854981047

Scales and comparisons

How big is 12144?

12,144 seconds is equal to 3 hours, 22 minutes, 24 seconds.
To count from 1 to 12,144 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 12144 cubic inches would be around 1.9 feet tall.

Recreational maths with 12144

12144 backwards is 44121
12144 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 12144's digits is 12
More coming soon!

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The information we have on file for 12144 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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