# 40591

## 40,591 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 40591 look like?

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

40591 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 40591:

### 40591

See below for interesting mathematical facts about the number 40591 from the Numbermatics database.

### Names of 40591

• Cardinal: 40591 can be written as Forty thousand, five hundred ninety-one.

### Scientific notation

• Scientific notation: 4.0591 × 104

### Factors of 40591

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 40591

### Divisors of 40591

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 40592
• Sum of proper divisors (its aliquot sum) s(n): 1
• 40591 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 40590

### Bases of 40591

• Binary: 10011110100011112
• Base-36: VBJ

### Squares and roots of 40591

• 40591 squared (405912) is 1647629281
• 40591 cubed (405913) is 66878920145071
• The square root of 40591 is 201.4720824333
• The cube root of 40591 is 34.3671287763

### Scales and comparisons

How big is 40591?
• 40,591 seconds is equal to 11 hours, 16 minutes, 31 seconds.
• To count from 1 to 40,591 would take you about eleven 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 40591 cubic inches would be around 2.9 feet tall.

### Recreational maths with 40591

• 40591 backwards is 19504
• The number of decimal digits it has is: 5
• The sum of 40591's digits is 19
• More coming soon!