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404431131 = 31319545791
BaseRepresentation
bin11000000110110…
…010000100011011
31001012000020012210
4120012302010123
51312013244011
6104044210203
713010415336
oct3006620433
91035006183
10404431131
11198322105
12b3539963
1365a33480
143b9d961d
152578b6a6
hex181b211b

404431131 has 16 divisors (see below), whose sum is σ = 611287040. Its totient is φ = 235781280.

The previous prime is 404431087. The next prime is 404431141. The reversal of 404431131 is 131134404.

It is not a de Polignac number, because 404431131 - 26 = 404431067 is a prime.

It is a super-2 number, since 2×4044311312 = 327129079443878322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404431098 and 404431107.

It is not an unprimeable number, because it can be changed into a prime (404431141) 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, 272155 + ... + 273636.

It is an arithmetic number, because the mean of its divisors is an integer number (38205440).

Almost surely, 2404431131 is an apocalyptic number.

404431131 is a deficient number, since it is larger than the sum of its proper divisors (206855909).

404431131 is a wasteful number, since it uses less digits than its factorization.

404431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545826.

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

The square root of 404431131 is about 20110.4731669844. The cubic root of 404431131 is about 739.5170521810.

Adding to 404431131 its reverse (131134404), we get a palindrome (535565535).

The spelling of 404431131 in words is "four hundred four million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 545791 1637373 7095283 10370029 21285849 31110087 134810377 404431131