About the Number 401 (four hundred one)

The Numberphile posted a video for the number 400. There were already nBABs for 400 and 400-1, so this nBAB for the number 400+1 was created.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   401 is a natural, whole, integer
   401 is odd
   401 proper divisors are: 1,
   401 is deficient (sum of divisors is 1)
   401 is unhappy
   401 is a Squarefree Number
   401 is not a Harshad number
   401 is prime
   ...Cousin prime with 397
   ...Truman Gerald prime with 431
   ...Pythagorean
   ...Super
   ...Eisenstein
   401 is the sum of 9 consecutive primes
   401 = 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61
   401 in octal is 0621
   401 in hexadecimal is 0x191
   401 in binary is 110010001 (is evil)
   401 nearest square numbers: -1...40 (400...441 [21])
   sqrt(401) = 20.025
   ln(401) = 5.99396
   log(401) = 2.60314
   401 reciprocal is .00249376558603491271820448877805
   401! is 2.56778e+871
   401 is 127.642 Pi years
   401 is 20 score and 1 year
   401 written as a Roman numeral is CDI
   401 = 201^2 - 200^2 and 201 + 200 = 401

log9(401) = 2.72797, which when down to the nearest hundredth equals e rounded up to the nearest hundredth.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 15 November 2012

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 United States License.