# 1451

## 1,451 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 1451 look like?

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

1451 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1451:

### 1451

See below for interesting mathematical facts about the number 1451 from the Numbermatics database.

### Names of 1451

• Cardinal: 1451 can be written as One thousand, four hundred fifty-one.

### Scientific notation

• Scientific notation: 1.451 × 103

### Factors of 1451

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1451

### Divisors of 1451

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1452
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1451 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1450

### Bases of 1451

• Binary: 101101010112
• Base-36: 14B

### Squares and roots of 1451

• 1451 squared (14512) is 2105401
• 1451 cubed (14513) is 3054936851
• The square root of 1451 is 38.0919939095
• The cube root of 1451 is 11.3211133187

### Scales and comparisons

How big is 1451?
• 1,451 seconds is equal to 24 minutes, 11 seconds.
• To count from 1 to 1,451 would take you about twenty-four 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 1451 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1451

• 1451 backwards is 1541
• 1451 is a twin prime! Its twin is 1453
• The number of decimal digits it has is: 4
• The sum of 1451's digits is 11
• More coming soon!