# 911

## 911 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 911 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

911 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 911:

### 911

See below for interesting mathematical facts about the number 911 from the Numbermatics database.

### Names of 911

• Cardinal: 911 can be written as Nine hundred eleven.

### Scientific notation

• Scientific notation: 9.11 × 102

### Factors of 911

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 911

### Divisors of 911

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 912
• Sum of proper divisors (its aliquot sum) s(n): 1
• 911 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 910

### Bases of 911

• Binary: 11100011112
• Base-36: PB

### Squares and roots of 911

• 911 squared (9112) is 829921
• 911 cubed (9113) is 756058031
• The square root of 911 is 30.1827765455
• The cube root of 911 is 9.6940694255

### Scales and comparisons

How big is 911?
• 911 seconds is equal to 15 minutes, 11 seconds.
• To count from 1 to 911 would take you about seven 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 911 cubic inches would be around 0.8 feet tall.

### Recreational maths with 911

• 911 backwards is 119
• The number of decimal digits it has is: 3
• The sum of 911's digits is 11
• More coming soon!