# 1585090125

## 1,585,090,125 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1585090125 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

1585090125 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 1585090125:

### 32 × 53 × 11872

(3 × 3 × 5 × 5 × 5 × 1187 × 1187)

See below for interesting mathematical facts about the number 1585090125 from the Numbermatics database.

### Names of 1585090125

• Cardinal: 1585090125 can be written as One billion, five hundred eighty-five million, ninety thousand, one hundred twenty-five.

### Scientific notation

• Scientific notation: 1.585090125 × 109

### Factors of 1585090125

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 1195

### Divisors of 1585090125

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 2859798396
• Sum of proper divisors (its aliquot sum) s(n): 1274708271
• 1585090125 is a deficient number, because the sum of its proper divisors (1274708271) is less than itself. Its deficiency is 310381854

### Bases of 1585090125

• Binary: 10111100111101010001110010011012
• Base-36: Q7PZD9

### Squares and roots of 1585090125

• 1585090125 squared (15850901252) is 2512510704372515625
• 1585090125 cubed (15850901253) is 3982555906457668838595703125
• The square root of 1585090125 is 39813.1903393837
• The cube root of 1585090125 is 1165.9626898121

### Scales and comparisons

How big is 1585090125?
• 1,585,090,125 seconds is equal to 50 years, 20 weeks, 5 days, 22 hours, 48 minutes, 45 seconds.
• To count from 1 to 1,585,090,125 would take you about one hundred 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 1585090125 cubic inches would be around 97.2 feet tall.

### Recreational maths with 1585090125

• 1585090125 backwards is 5210905851
• The number of decimal digits it has is: 10
• The sum of 1585090125's digits is 36
• More coming soon!