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401401012 = 22375373701
BaseRepresentation
bin10111111011001…
…110010010110100
31000222022021200011
4113323032102310
51310224313022
6103455230004
712642565225
oct2773162264
91028267604
10401401012
11196642581
12b2518304
13652121bc
143b44b24c
152538d977
hex17ece4b4

401401012 has 48 divisors (see below), whose sum is σ = 746181072. Its totient is φ = 188697600.

The previous prime is 401400949. The next prime is 401401019. The reversal of 401401012 is 210104104.

It can be written as a sum of positive squares in 8 ways, for example, as 120033936 + 281367076 = 10956^2 + 16774^2 .

It is a super-2 number, since 2×4014010122 = 322245544869248288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401400983 and 401401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401401019) 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, 572262 + ... + 572962.

It is an arithmetic number, because the mean of its divisors is an integer number (15545439).

Almost surely, 2401401012 is an apocalyptic number.

It is an amenable number.

401401012 is a deficient number, since it is larger than the sum of its proper divisors (344780060).

401401012 is a wasteful number, since it uses less digits than its factorization.

401401012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 401401012 is about 20034.9946843018. The cubic root of 401401012 is about 737.6655260752.

Adding to 401401012 its reverse (210104104), we get a palindrome (611505116).

The spelling of 401401012 in words is "four hundred one million, four hundred one thousand, twelve".

Divisors: 1 2 4 37 53 73 74 106 146 148 212 292 701 1402 1961 2701 2804 3869 3922 5402 7738 7844 10804 15476 25937 37153 51173 51874 74306 102346 103748 143153 148612 204692 286306 572612 1374661 1893401 2712169 2749322 3786802 5424338 5498644 7573604 10848676 100350253 200700506 401401012