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412406441 is a prime number
BaseRepresentation
bin11000100101001…
…101001010101001
31001202000102021122
4120211031022221
51321034001231
6104531145025
713135253066
oct3045151251
91052012248
10412406441
111a187a077
12b6145175
13675965a5
143cab3c6d
152631477b
hex1894d2a9

412406441 has 2 divisors, whose sum is σ = 412406442. Its totient is φ = 412406440.

The previous prime is 412406431. The next prime is 412406459. The reversal of 412406441 is 144604214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 406627225 + 5779216 = 20165^2 + 2404^2 .

It is a cyclic number.

It is not a de Polignac number, because 412406441 - 214 = 412390057 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412406441.

It is not a weakly prime, because it can be changed into another prime (412406431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206203220 + 206203221.

It is an arithmetic number, because the mean of its divisors is an integer number (206203221).

Almost surely, 2412406441 is an apocalyptic number.

It is an amenable number.

412406441 is a deficient number, since it is larger than the sum of its proper divisors (1).

412406441 is an equidigital number, since it uses as much as digits as its factorization.

412406441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 412406441 is about 20307.7926176136. The cubic root of 412406441 is about 744.3464929654.

The spelling of 412406441 in words is "four hundred twelve million, four hundred six thousand, four hundred forty-one".