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431129065 = 51572572137
BaseRepresentation
bin11001101100101…
…000000111101001
31010001020121220011
4121230220013221
51340332112230
6110440331521
713453352023
oct3154500751
91101217804
10431129065
112013a7714
12100473ba1
136b420473
1441389013
1527cb1e2a
hex19b281e9

431129065 has 16 divisors (see below), whose sum is σ = 522920592. Its totient is φ = 341213184.

The previous prime is 431129047. The next prime is 431129077. The reversal of 431129065 is 560921134.

It can be written as a sum of positive squares in 8 ways, for example, as 7551504 + 423577561 = 2748^2 + 20581^2 .

It is a cyclic number.

It is not a de Polignac number, because 431129065 - 25 = 431129033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200677 + ... + 202813.

It is an arithmetic number, because the mean of its divisors is an integer number (32682537).

Almost surely, 2431129065 is an apocalyptic number.

It is an amenable number.

431129065 is a deficient number, since it is larger than the sum of its proper divisors (91791527).

431129065 is a wasteful number, since it uses less digits than its factorization.

431129065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 431129065 is about 20763.6476805016. The cubic root of 431129065 is about 755.4442745768. Note that the first 3 decimals are identical.

The spelling of 431129065 in words is "four hundred thirty-one million, one hundred twenty-nine thousand, sixty-five".

Divisors: 1 5 157 257 785 1285 2137 10685 40349 201745 335509 549209 1677545 2746045 86225813 431129065