# 531441

## 531,441 is an odd composite number. It is composed of a single prime number multiplied by itself eleven times.

What does the number 531441 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 13 divisors.

531441 is an odd composite number. It is composed of one distinct prime number multiplied by itself eleven times. It has a total of thirteen divisors.

## Prime factorization of 531441:

### 312

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

See below for interesting mathematical facts about the number 531441 from the Numbermatics database.

### Names of 531441

• Cardinal: 531441 can be written as Five hundred thirty-one thousand, four hundred forty-one.

### Scientific notation

• Scientific notation: 5.31441 × 105

### Factors of 531441

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3

### Divisors of 531441

• Number of divisors d(n): 13
• Complete list of divisors:
• Sum of all divisors σ(n): 797161
• Sum of proper divisors (its aliquot sum) s(n): 265720
• 531441 is a deficient number, because the sum of its proper divisors (265720) is less than itself. Its deficiency is 265721

### Bases of 531441

• Binary: 100000011011111100012
• Base-36: BE29

### Squares and roots of 531441

• 531441 squared (5314412) is 282429536481
• 531441 cubed (5314413) is 150094635296999121
• 531441 is a perfect square number. Its square root is 729
• 531441 is a perfect cube number. Its cube root is 81

### Scales and comparisons

How big is 531441?
• 531,441 seconds is equal to 6 days, 3 hours, 37 minutes, 21 seconds.
• To count from 1 to 531,441 would take you about six days.

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 531441 cubic inches would be around 6.8 feet tall.

### Recreational maths with 531441

• 531441 backwards is 144135
• The number of decimal digits it has is: 6
• The sum of 531441's digits is 18
• More coming soon!