# 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!

MLA style:
"Number 1440 - Facts about the integer". Numbermatics.com. 2023. Web. 21 March 2023.

APA style:
Numbermatics. (2023). Number 1440 - Facts about the integer. Retrieved 21 March 2023, from https://numbermatics.com/n/1440/

Chicago style:
Numbermatics. 2023. "Number 1440 - Facts about the integer". https://numbermatics.com/n/1440/

The information we have on file for 1440 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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