# 138742128

## 138,742,128 is an even composite number composed of four prime numbers multiplied together.

What does the number 138742128 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 180 divisors.

138742128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.

## Prime factorization of 138742128:

### 24 × 32 × 73 × 532

(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 53 × 53)

See below for interesting mathematical facts about the number 138742128 from the Numbermatics database.

### Names of 138742128

• Cardinal: 138742128 can be written as One hundred thirty-eight million, seven hundred forty-two thousand, one hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.38742128 × 108

### Factors of 138742128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 65

### Divisors of 138742128

• Number of divisors d(n): 180
• Complete list of divisors:
• Sum of all divisors σ(n): 461515600
• Sum of proper divisors (its aliquot sum) s(n): 322773472
• 138742128 is an abundant number, because the sum of its proper divisors (322773472) is greater than itself. Its abundance is 184031344

### Bases of 138742128

• Binary: 10000100010100001001011100002
• Base-36: 2ALQ40

### Squares and roots of 138742128

• 138742128 squared (1387421282) is 19249378081968384
• 138742128 cubed (1387421283) is 2670699677768852024881152
• The square root of 138742128 is 11778.8848368595
• The cube root of 138742128 is 517.6896119571

### Scales and comparisons

How big is 138742128?
• 138,742,128 seconds is equal to 4 years, 21 weeks, 2 days, 19 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,742,128 would take you about six years!

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 138742128 cubic inches would be around 43.1 feet tall.

### Recreational maths with 138742128

• 138742128 backwards is 821247831
• 138742128 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 138742128's digits is 36
• More coming soon!