# 42024

## 42,024 is an even composite number composed of four prime numbers multiplied together.

What does the number 42024 look like?

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

42024 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 42024:

### 23 × 3 × 17 × 103

(2 × 2 × 2 × 3 × 17 × 103)

See below for interesting mathematical facts about the number 42024 from the Numbermatics database.

### Names of 42024

• Cardinal: 42024 can be written as Forty-two thousand and twenty-four.

### Scientific notation

• Scientific notation: 4.2024 × 104

### Factors of 42024

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 125

### Divisors of 42024

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 112320
• Sum of proper divisors (its aliquot sum) s(n): 70296
• 42024 is an abundant number, because the sum of its proper divisors (70296) is greater than itself. Its abundance is 28272

### Bases of 42024

• Binary: 10100100001010002
• Base-36: WFC

### Squares and roots of 42024

• 42024 squared (420242) is 1766016576
• 42024 cubed (420243) is 74215080589824
• The square root of 42024 is 204.9975609611
• The cube root of 42024 is 34.7668861913

### Scales and comparisons

How big is 42024?
• 42,024 seconds is equal to 11 hours, 40 minutes, 24 seconds.
• To count from 1 to 42,024 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 42024 cubic inches would be around 2.9 feet tall.

### Recreational maths with 42024

• 42024 is the same when its digits are reversed! That makes it a palindromic number.
• 42024 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 42024's digits is 12
• More coming soon!