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401131134 = 232313719429
BaseRepresentation
bin10111111010001…
…100011001111110
31000221210120110200
4113322030121332
51310142144014
6103445344330
712640362345
oct2772143176
91027716420
10401131134
11196478838
12b24080a6
1365149401
143b3bab5c
1525338a09
hex17e8c67e

401131134 has 48 divisors (see below), whose sum is σ = 921448320. Its totient is φ = 125893440.

The previous prime is 401131079. The next prime is 401131183. The reversal of 401131134 is 431131104.

401131134 is a `hidden beast` number, since 401 + 131 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10932 + ... + 30360.

It is an arithmetic number, because the mean of its divisors is an integer number (19196840).

Almost surely, 2401131134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401131134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460724160).

401131134 is an abundant number, since it is smaller than the sum of its proper divisors (520317186).

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

401131134 is a wasteful number, since it uses less digits than its factorization.

401131134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19505 (or 19502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401131134 is about 20028.2583865897. The cubic root of 401131134 is about 737.5001683041.

Adding to 401131134 its reverse (431131104), we get a palindrome (832262238).

The spelling of 401131134 in words is "four hundred one million, one hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6882 10323 19429 20646 38858 58287 116574 174861 349722 602299 718873 1204598 1437746 1806897 2156619 3613794 4313238 5420691 6469857 10841382 12939714 22285063 44570126 66855189 133710378 200565567 401131134