14496

14,496 is an even composite number composed of three prime numbers multiplied together.

What does the number 14496 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

14496 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 14496:

2⁵ × 3 × 151

(2 × 2 × 2 × 2 × 2 × 3 × 151)

See below for interesting mathematical facts about the number 14496 from the Numbermatics database.

Names of 14496

Cardinal: 14496 can be written as Fourteen thousand, four hundred ninety-six.

Scientific notation

Scientific notation: 1.4496 × 10⁴

Factors of 14496

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 156

Divisors of 14496

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496
Sum of all divisors σ(n): 38304
Sum of proper divisors (its aliquot sum) s(n): 23808
14496 is an abundant number, because the sum of its proper divisors (23808) is greater than itself. Its abundance is 9312

Bases of 14496

Binary: 11100010100000₂
Hexadecimal: 0x38A0
Base-36: B6O

Squares and roots of 14496

14496 squared (14496²) is 210134016
14496 cubed (14496³) is 3046102695936
The square root of 14496 is 120.3993355465
The cube root of 14496 is 24.3827523007

Scales and comparisons

How big is 14496?

14,496 seconds is equal to 4 hours, 1 minute, 36 seconds.
To count from 1 to 14,496 would take you about four 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 14496 cubic inches would be around 2 feet tall.

Recreational maths with 14496

14496 backwards is 69441
14496 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 14496's digits is 24
More coming soon!

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The information we have on file for 14496 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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