# 147456

## 147,456 is an even composite number composed of two prime numbers multiplied together.

What does the number 147456 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 45 divisors.

147456 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 147456:

### 214 × 32

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3)

See below for interesting mathematical facts about the number 147456 from the Numbermatics database.

### Names of 147456

• Cardinal: 147456 can be written as One hundred forty-seven thousand, four hundred fifty-six.

### Scientific notation

• Scientific notation: 1.47456 × 105

### Factors of 147456

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 5

### Divisors of 147456

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 425971
• Sum of proper divisors (its aliquot sum) s(n): 278515
• 147456 is an abundant number, because the sum of its proper divisors (278515) is greater than itself. Its abundance is 131059

### Bases of 147456

• Binary: 1001000000000000002
• Base-36: 35S0

### Squares and roots of 147456

• 147456 squared (1474562) is 21743271936
• 147456 cubed (1474563) is 3206175906594816
• 147456 is a perfect square number. Its square root is 384
• The cube root of 147456 is 52.8308359823

### Scales and comparisons

How big is 147456?
• 147,456 seconds is equal to 1 day, 16 hours, 57 minutes, 36 seconds.
• To count from 1 to 147,456 would take you about sixteen 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 147456 cubic inches would be around 4.4 feet tall.

### Recreational maths with 147456

• 147456 backwards is 654741
• The number of decimal digits it has is: 6
• The sum of 147456's digits is 27
• More coming soon!