Search a number
-
+
401412414 = 231320812473
BaseRepresentation
bin10111111011010…
…001000100111110
31000222022212022110
4113323101010332
51310230144124
6103455354450
712642643404
oct2773210476
91028285273
10401412414
111966500a7
12b2522a26
1365217450
143b451474
1525392029
hex17ed113e

401412414 has 32 divisors (see below), whose sum is σ = 865345824. Its totient is φ = 123402240.

The previous prime is 401412413. The next prime is 401412433. The reversal of 401412414 is 414214104.

It is a super-2 number, since 2×4014124142 = 322263852226614792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401412413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161082 + ... + 163554.

It is an arithmetic number, because the mean of its divisors is an integer number (27042057).

Almost surely, 2401412414 is an apocalyptic number.

401412414 is an abundant number, since it is smaller than the sum of its proper divisors (463933410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401412414 is a wasteful number, since it uses less digits than its factorization.

401412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 401412414 is about 20035.2792343905. The cubic root of 401412414 is about 737.6725105972.

Adding to 401412414 its reverse (414214104), we get a palindrome (815626518).

The spelling of 401412414 in words is "four hundred one million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 2081 2473 4162 4946 6243 7419 12486 14838 27053 32149 54106 64298 81159 96447 162318 192894 5146313 10292626 15438939 30877878 66902069 133804138 200706207 401412414