# 138384

## 138,384 is an even composite number composed of three prime numbers multiplied together.

What does the number 138384 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 45 divisors.

138384 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 138384:

### 24 × 32 × 312

(2 × 2 × 2 × 2 × 3 × 3 × 31 × 31)

See below for interesting mathematical facts about the number 138384 from the Numbermatics database.

### Names of 138384

• Cardinal: 138384 can be written as One hundred thirty-eight thousand, three hundred eighty-four.

### Scientific notation

• Scientific notation: 1.38384 × 105

### Factors of 138384

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 36

### Divisors of 138384

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 400179
• Sum of proper divisors (its aliquot sum) s(n): 261795
• 138384 is an abundant number, because the sum of its proper divisors (261795) is greater than itself. Its abundance is 123411

### Bases of 138384

• Binary: 1000011100100100002
• Base-36: 2YS0

### Squares and roots of 138384

• 138384 squared (1383842) is 19150131456
• 138384 cubed (1383843) is 2650071791407104
• 138384 is a perfect square number. Its square root is 372
• The cube root of 138384 is 51.7243799527

### Scales and comparisons

How big is 138384?
• 138,384 seconds is equal to 1 day, 14 hours, 26 minutes, 24 seconds.
• To count from 1 to 138,384 would take you about fourteen 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 138384 cubic inches would be around 4.3 feet tall.

### Recreational maths with 138384

• 138384 backwards is 483831
• The number of decimal digits it has is: 6
• The sum of 138384's digits is 27
• More coming soon!