# 401

## 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 401 look like?

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

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

## Prime factorization of 401:

### 401

See below for interesting mathematical facts about the number 401 from the Numbermatics database.

### Names of 401

• Cardinal: 401 can be written as Four hundred one.

### Scientific notation

• Scientific notation: 4.01 × 102

### Factors of 401

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 401

### Divisors of 401

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 402
• Sum of proper divisors (its aliquot sum) s(n): 1
• 401 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 400

### Bases of 401

• Binary: 1100100012
• Base-36: B5

### Squares and roots of 401

• 401 squared (4012) is 160801
• 401 cubed (4013) is 64481201
• The square root of 401 is 20.0249843945
• The cube root of 401 is 7.3741979401

### Scales and comparisons

How big is 401?
• 401 seconds is equal to 6 minutes, 41 seconds.
• To count from 1 to 401 would take you about three 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 401 cubic inches would be around 0.6 feet tall.

### Recreational maths with 401

• 401 backwards is 104
• The number of decimal digits it has is: 3
• The sum of 401's digits is 5
• More coming soon!