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400114131 = 32916727539
BaseRepresentation
bin10111110110010…
…100000111010011
31000212212220101220
4113312110013103
51304412123011
6103411500123
712625625334
oct2766240723
91025786356
10400114131
1119594373a
12b1bb7643
1364b81531
143b1d428b
15251d7506
hex17d941d3

400114131 has 16 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 255993248.

The previous prime is 400114111. The next prime is 400114157. The reversal of 400114131 is 131411004.

It is a cyclic number.

It is not a de Polignac number, because 400114131 - 29 = 400113619 is a prime.

It is a super-2 number, since 2×4001141312 = 320182635651770322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400114131.

It is not an unprimeable number, because it can be changed into a prime (400114111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760 + ... + 28298.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 2400114131 is an apocalyptic number.

400114131 is a deficient number, since it is larger than the sum of its proper divisors (155092269).

400114131 is a wasteful number, since it uses less digits than its factorization.

400114131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27738.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 400114131 is about 20002.8530714996. The cubic root of 400114131 is about 736.8763700973.

Adding to 400114131 its reverse (131411004), we get a palindrome (531525135).

The spelling of 400114131 in words is "four hundred million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 29 87 167 501 4843 14529 27539 82617 798631 2395893 4599013 13797039 133371377 400114131