# 90401

## 90,401 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 90401 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

90401 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 90401:

### 90401

See below for interesting mathematical facts about the number 90401 from the Numbermatics database.

### Names of 90401

• Cardinal: 90401 can be written as Ninety thousand, four hundred one.

### Scientific notation

• Scientific notation: 9.0401 × 104

### Factors of 90401

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 90401

### Divisors of 90401

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 90402
• Sum of proper divisors (its aliquot sum) s(n): 1
• 90401 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 90400

### Bases of 90401

• Binary: 101100001001000012
• Base-36: 1XR5

### Squares and roots of 90401

• 90401 squared (904012) is 8172340801
• 90401 cubed (904013) is 738787780751201
• The square root of 90401 is 300.6675905381
• The cube root of 90401 is 44.8805060193

### Scales and comparisons

How big is 90401?
• 90,401 seconds is equal to 1 day, 1 hour, 6 minutes, 41 seconds.
• To count from 1 to 90,401 would take you about six minutes.

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 90401 cubic inches would be around 3.7 feet tall.

### Recreational maths with 90401

• 90401 backwards is 10409
• 90401 is a twin prime! Its twin is 90403
• The number of decimal digits it has is: 5
• The sum of 90401's digits is 14
• More coming soon!