# 1019

## 1,019 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 1019 look like?

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

1019 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1019:

### 1019

See below for interesting mathematical facts about the number 1019 from the Numbermatics database.

### Names of 1019

• Cardinal: 1019 can be written as One thousand and nineteen.

### Scientific notation

• Scientific notation: 1.019 × 103

### Factors of 1019

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1019

### Divisors of 1019

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1020
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1019 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1018

### Bases of 1019

• Binary: 11111110112
• Base-36: SB

### Squares and roots of 1019

• 1019 squared (10192) is 1038361
• 1019 cubed (10193) is 1058089859
• The square root of 1019 is 31.9217793991
• The cube root of 1019 is 10.0629364033

### Scales and comparisons

How big is 1019?
• 1,019 seconds is equal to 16 minutes, 59 seconds.
• To count from 1 to 1,019 would take you about sixteen 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 1019 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1019

• 1019 backwards is 9101
• 1019 is a twin prime! Its twin is 1021
• The number of decimal digits it has is: 4
• The sum of 1019's digits is 11
• More coming soon!