# 1440

## 1,440 is an even composite number composed of three prime numbers multiplied together.

What does the number 1440 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

1440 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 1440:

### 25 × 32 × 5

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 1440 from the Numbermatics database.

### Names of 1440

• Cardinal: 1440 can be written as One thousand, four hundred forty.

### Scientific notation

• Scientific notation: 1.44 × 103

### Factors of 1440

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 10

### Divisors of 1440

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 4914
• Sum of proper divisors (its aliquot sum) s(n): 3474
• 1440 is an abundant number, because the sum of its proper divisors (3474) is greater than itself. Its abundance is 2034

### Bases of 1440

• Binary: 101101000002
• Base-36: 140

### Squares and roots of 1440

• 1440 squared (14402) is 2073600
• 1440 cubed (14403) is 2985984000
• The square root of 1440 is 37.9473319221
• The cube root of 1440 is 11.2924323465

### Scales and comparisons

How big is 1440?
• 1,440 seconds is equal to 24 minutes.
• To count from 1 to 1,440 would take you about twenty-four minutes.

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 1440 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1440

• 1440 backwards is 0441
• 1440 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1440's digits is 9
• More coming soon!