# 6444480

## 6,444,480 is an even composite number composed of five prime numbers multiplied together.

What does the number 6444480 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.

6444480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.

## Prime factorization of 6444480:

### 26 × 3 × 5 × 72 × 137

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 137)

See below for interesting mathematical facts about the number 6444480 from the Numbermatics database.

### Names of 6444480

• Cardinal: 6444480 can be written as Six million, four hundred forty-four thousand, four hundred eighty.

### Scientific notation

• Scientific notation: 6.44448 × 106

### Factors of 6444480

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 154

### Divisors of 6444480

• Number of divisors d(n): 168
• Complete list of divisors:
• Sum of all divisors σ(n): 23975568
• Sum of proper divisors (its aliquot sum) s(n): 17531088
• 6444480 is an abundant number, because the sum of its proper divisors (17531088) is greater than itself. Its abundance is 11086608

### Bases of 6444480

• Binary: 110001001010101110000002
• Base-36: 3U4LC

### Squares and roots of 6444480

• 6444480 squared (64444802) is 41531322470400
• 6444480 cubed (64444803) is 267647777034043392000
• The square root of 6444480 is 2538.5980382881
• The cube root of 6444480 is 186.0926812935

### Scales and comparisons

How big is 6444480?
• 6,444,480 seconds is equal to 10 weeks, 4 days, 14 hours, 8 minutes.
• To count from 1 to 6,444,480 would take you about fifteen weeks!

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 6444480 cubic inches would be around 15.5 feet tall.

### Recreational maths with 6444480

• 6444480 backwards is 0844446
• 6444480 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 6444480's digits is 30
• More coming soon!