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412414431 = 31113961339
BaseRepresentation
bin11000100101001…
…111000111011111
31001202000211020120
4120211033013133
51321034230211
6104531250023
713135315302
oct3045170737
91052024216
10412414431
111a1885080
12b6149913
136759a110
143cab6b39
1526316d06
hex1894f1df

412414431 has 16 divisors (see below), whose sum is σ = 646020480. Its totient is φ = 230721120.

The previous prime is 412414381. The next prime is 412414433. The reversal of 412414431 is 134414214.

It is not a de Polignac number, because 412414431 - 214 = 412398047 is a prime.

It is a super-2 number, since 2×4124144312 = 340171325794107522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412414433) 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, 480241 + ... + 481098.

It is an arithmetic number, because the mean of its divisors is an integer number (40376280).

Almost surely, 2412414431 is an apocalyptic number.

412414431 is a deficient number, since it is larger than the sum of its proper divisors (233606049).

412414431 is a wasteful number, since it uses less digits than its factorization.

412414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961366.

The product of its digits is 1536, while the sum is 24.

The square root of 412414431 is about 20307.9893391739. The cubic root of 412414431 is about 744.3512999467.

Adding to 412414431 its reverse (134414214), we get a palindrome (546828645).

The spelling of 412414431 in words is "four hundred twelve million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 961339 2884017 10574729 12497407 31724187 37492221 137471477 412414431