# 0

## Zero is an integer with several counter-intuitive properties. It is an even number which is neither prime nor composite. Zero is known as the additive identity.

Zero is a number which signifies nothing, an empty set or a count whose value is nothing. It is exactly divisible by every number and is therefore an even number because it is divisible by two. With an infinite amount of factors, it is therefore not a prime number. But is is not composite either because it is not a product of any prime number. Zero is known as the additive identity.

## Prime factorization of 0:

### 0

See below for interesting mathematical facts about the number 0 from the Numbermatics database.

### Names of 0

• Cardinal: 0 can be written as Zero.

### Scientific notation

• Scientific notation: 0 × 100

### Factors of 0

• Number of distinct prime factors ω(n): 0
• Total number of prime factors Ω(n): 0
• Sum of prime factors: 0

### Divisors of 0

• Number of divisors d(n): Infinite
• Sum of all divisors σ(n): Infinite

• Binary: 0 2

### Squares and roots of 0

• 0 squared (02) is 0
• 0 cubed (03) is 0
• 0 is a perfect square number. Its square root is 0
• 0 is a perfect cube number. Its cube root is 0

### Scales and comparisons

How big is 0?
• To count from 1 to 0 would take you about .

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.

Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!

• A cube with a volume of 0 cubic inches would be around 0 feet tall.

### Recreational maths with 0

• 0 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 1
• The sum of 0's digits is 0
• More coming soon!

The information we have on file for 0 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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