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401144133 = 31318615527
BaseRepresentation
bin10111111010001…
…111100101000101
31000221211020022010
4113322033211011
51310143103013
6103445524433
712640445265
oct2772174505
91027736263
10401144133
11196487585
12b2413719
13651522c0
143b3c17a5
152533c7c3
hex17e8f945

401144133 has 16 divisors (see below), whose sum is σ = 576415616. Its totient is φ = 246680640.

The previous prime is 401144129. The next prime is 401144137. The reversal of 401144133 is 331441104.

It is an interprime number because it is at equal distance from previous prime (401144129) and next prime (401144137).

It is not a de Polignac number, because 401144133 - 22 = 401144129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401144137) 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, 69816 + ... + 75342.

It is an arithmetic number, because the mean of its divisors is an integer number (36025976).

Almost surely, 2401144133 is an apocalyptic number.

It is an amenable number.

401144133 is a deficient number, since it is larger than the sum of its proper divisors (175271483).

401144133 is a wasteful number, since it uses less digits than its factorization.

401144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 401144133 is about 20028.5829004451. The cubic root of 401144133 is about 737.5081346608.

Adding to 401144133 its reverse (331441104), we get a palindrome (732585237).

The spelling of 401144133 in words is "four hundred one million, one hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 3 13 39 1861 5527 5583 16581 24193 71851 72579 215553 10285747 30857241 133714711 401144133