# 480128

## 480,128 is an even composite number composed of three prime numbers multiplied together.

What does the number 480128 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

480128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 480128:

### 27 × 112 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 31)

See below for interesting mathematical facts about the number 480128 from the Numbermatics database.

### Names of 480128

• Cardinal: 480128 can be written as Four hundred eighty thousand, one hundred twenty-eight.

### Scientific notation

• Scientific notation: 4.80128 × 105

### Factors of 480128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 44

### Divisors of 480128

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 1085280
• Sum of proper divisors (its aliquot sum) s(n): 605152
• 480128 is an abundant number, because the sum of its proper divisors (605152) is greater than itself. Its abundance is 125024

### Bases of 480128

• Binary: 11101010011100000002
• Base-36: AAGW

### Squares and roots of 480128

• 480128 squared (4801282) is 230522896384
• 480128 cubed (4801283) is 110680497195057152
• The square root of 480128 is 692.9126929131
• The cube root of 480128 is 78.3043119695

### Scales and comparisons

How big is 480128?
• 480,128 seconds is equal to 5 days, 13 hours, 22 minutes, 8 seconds.
• To count from 1 to 480,128 would take you about five days.

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 480128 cubic inches would be around 6.5 feet tall.

### Recreational maths with 480128

• 480128 backwards is 821084
• The number of decimal digits it has is: 6
• The sum of 480128's digits is 23
• More coming soon!