# 13440

## 13,440 is an even composite number composed of four prime numbers multiplied together.

What does the number 13440 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

13440 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 13440:

### 27 × 3 × 5 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 13440 from the Numbermatics database.

### Names of 13440

• Cardinal: 13440 can be written as Thirteen thousand, four hundred forty.

### Scientific notation

• Scientific notation: 1.344 × 104

### Factors of 13440

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 17

### Divisors of 13440

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 48960
• Sum of proper divisors (its aliquot sum) s(n): 35520
• 13440 is an abundant number, because the sum of its proper divisors (35520) is greater than itself. Its abundance is 22080

### Bases of 13440

• Binary: 110100100000002

### Squares and roots of 13440

• 13440 squared (134402) is 180633600
• 13440 cubed (134403) is 2427715584000
• The square root of 13440 is 115.9310139695
• The cube root of 13440 is 23.7756878111

### Scales and comparisons

How big is 13440?
• 13,440 seconds is equal to 3 hours, 44 minutes.
• To count from 1 to 13,440 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 13440 cubic inches would be around 2 feet tall.

### Recreational maths with 13440

• 13440 backwards is 04431
• 13440 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13440's digits is 12
• More coming soon!