# 4128

## 4,128 is an even composite number composed of three prime numbers multiplied together.

What does the number 4128 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

4128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 4128:

### 25 × 3 × 43

(2 × 2 × 2 × 2 × 2 × 3 × 43)

See below for interesting mathematical facts about the number 4128 from the Numbermatics database.

### Names of 4128

• Cardinal: 4128 can be written as Four thousand, one hundred twenty-eight.

### Scientific notation

• Scientific notation: 4.128 × 103

### Factors of 4128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 48

### Divisors of 4128

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 11088
• Sum of proper divisors (its aliquot sum) s(n): 6960
• 4128 is an abundant number, because the sum of its proper divisors (6960) is greater than itself. Its abundance is 2832

### Bases of 4128

• Binary: 10000001000002
• Base-36: 36O

### Squares and roots of 4128

• 4128 squared (41282) is 17040384
• 4128 cubed (41283) is 70342705152
• The square root of 4128 is 64.2495136169
• The cube root of 4128 is 16.0415586283

### Scales and comparisons

How big is 4128?
• 4,128 seconds is equal to 1 hour, 8 minutes, 48 seconds.
• To count from 1 to 4,128 would take you about eight minutes.

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 4128 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4128

• 4128 backwards is 8214
• The number of decimal digits it has is: 4
• The sum of 4128's digits is 15
• More coming soon!