# 419

## 419 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 419 look like?

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

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

## Prime factorization of 419:

### 419

See below for interesting mathematical facts about the number 419 from the Numbermatics database.

### Names of 419

• Cardinal: 419 can be written as Four hundred nineteen.

### Scientific notation

• Scientific notation: 4.19 × 102

### Factors of 419

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 419

### Divisors of 419

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 420
• Sum of proper divisors (its aliquot sum) s(n): 1
• 419 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 418

### Bases of 419

• Binary: 1101000112
• Base-36: BN

### Squares and roots of 419

• 419 squared (4192) is 175561
• 419 cubed (4193) is 73560059
• The square root of 419 is 20.4694894905
• The cube root of 419 is 7.4829241143

### Scales and comparisons

How big is 419?
• 419 seconds is equal to 6 minutes, 59 seconds.
• To count from 1 to 419 would take you about three 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 419 cubic inches would be around 0.6 feet tall.

### Recreational maths with 419

• 419 backwards is 914
• 419 is a twin prime! Its twin is 421
• The number of decimal digits it has is: 3
• The sum of 419's digits is 14
• More coming soon!