# 40448

## 40,448 is an even composite number composed of two prime numbers multiplied together.

What does the number 40448 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 20 divisors.

40448 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 40448:

### 29 × 79

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 79)

See below for interesting mathematical facts about the number 40448 from the Numbermatics database.

### Names of 40448

• Cardinal: 40448 can be written as Forty thousand, four hundred forty-eight.

### Scientific notation

• Scientific notation: 4.0448 × 104

### Factors of 40448

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 81

### Divisors of 40448

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 81840
• Sum of proper divisors (its aliquot sum) s(n): 41392
• 40448 is an abundant number, because the sum of its proper divisors (41392) is greater than itself. Its abundance is 944

### Bases of 40448

• Binary: 10011110000000002
• Base-36: V7K

### Squares and roots of 40448

• 40448 squared (404482) is 1636040704
• 40448 cubed (404483) is 66174574395392
• The square root of 40448 is 201.1168814397
• The cube root of 40448 is 34.3267234163

### Scales and comparisons

How big is 40448?
• 40,448 seconds is equal to 11 hours, 14 minutes, 8 seconds.
• To count from 1 to 40,448 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 40448 cubic inches would be around 2.9 feet tall.

### Recreational maths with 40448

• 40448 backwards is 84404
• The number of decimal digits it has is: 5
• The sum of 40448's digits is 20
• More coming soon!