# 44408

## 44,408 is an even composite number composed of four prime numbers multiplied together.

What does the number 44408 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

44408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 44408:

### 23 × 7 × 13 × 61

(2 × 2 × 2 × 7 × 13 × 61)

See below for interesting mathematical facts about the number 44408 from the Numbermatics database.

### Names of 44408

• Cardinal: 44408 can be written as Forty-four thousand, four hundred eight.

### Scientific notation

• Scientific notation: 4.4408 × 104

### Factors of 44408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 83

### Divisors of 44408

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 104160
• Sum of proper divisors (its aliquot sum) s(n): 59752
• 44408 is an abundant number, because the sum of its proper divisors (59752) is greater than itself. Its abundance is 15344

### Bases of 44408

• Binary: 10101101011110002
• Base-36: Y9K

### Squares and roots of 44408

• 44408 squared (444082) is 1972070464
• 44408 cubed (444083) is 87575705165312
• The square root of 44408 is 210.7320573619
• The cube root of 44408 is 35.4122676581

### Scales and comparisons

How big is 44408?
• 44,408 seconds is equal to 12 hours, 20 minutes, 8 seconds.
• To count from 1 to 44,408 would take you about twelve 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 44408 cubic inches would be around 3 feet tall.

### Recreational maths with 44408

• 44408 backwards is 80444
• The number of decimal digits it has is: 5
• The sum of 44408's digits is 20
• More coming soon!