# 5119

## 5,119 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 5119 look like?

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

5119 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 5119:

### 5119

See below for interesting mathematical facts about the number 5119 from the Numbermatics database.

### Names of 5119

• Cardinal: 5119 can be written as Five thousand, one hundred nineteen.

### Scientific notation

• Scientific notation: 5.119 × 103

### Factors of 5119

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 5119

### Divisors of 5119

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 5120
• Sum of proper divisors (its aliquot sum) s(n): 1
• 5119 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 5118

### Bases of 5119

• Binary: 10011111111112
• Base-36: 3Y7

### Squares and roots of 5119

• 5119 squared (51192) is 26204161
• 5119 cubed (51193) is 134139100159
• The square root of 5119 is 71.5471872263
• The cube root of 5119 is 17.2343553457

### Scales and comparisons

How big is 5119?
• 5,119 seconds is equal to 1 hour, 25 minutes, 19 seconds.
• To count from 1 to 5,119 would take you about twenty-five 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 5119 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5119

• 5119 backwards is 9115
• The number of decimal digits it has is: 4
• The sum of 5119's digits is 16
• More coming soon!