# 19919

## 19,919 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 19919 look like?

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

19919 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 19919:

### 19919

See below for interesting mathematical facts about the number 19919 from the Numbermatics database.

### Names of 19919

• Cardinal: 19919 can be written as Nineteen thousand, nine hundred nineteen.

### Scientific notation

• Scientific notation: 1.9919 × 104

### Factors of 19919

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 19919

### Divisors of 19919

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 19920
• Sum of proper divisors (its aliquot sum) s(n): 1
• 19919 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 19918

### Bases of 19919

• Binary: 1001101110011112
• Base-36: FDB

### Squares and roots of 19919

• 19919 squared (199192) is 396766561
• 19919 cubed (199193) is 7903193128559
• The square root of 19919 is 141.1346874443
• The cube root of 19919 is 27.1074819463

### Scales and comparisons

How big is 19919?
• 19,919 seconds is equal to 5 hours, 31 minutes, 59 seconds.
• To count from 1 to 19,919 would take you about five 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 19919 cubic inches would be around 2.3 feet tall.

### Recreational maths with 19919

• 19919 backwards is 91991
• The number of decimal digits it has is: 5
• The sum of 19919's digits is 29
• More coming soon!