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214141409 is a prime number
BaseRepresentation
bin11001100001110…
…00100111100001
3112220221111210022
430300320213201
5414310011114
633125443225
75210112656
oct1460704741
9486844708
10214141409
11aa971679
125b870515
1335498bc1
1420623c2d
1513bee48e
hexcc389e1

214141409 has 2 divisors, whose sum is σ = 214141410. Its totient is φ = 214141408.

The previous prime is 214141399. The next prime is 214141489. The reversal of 214141409 is 904141412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198021184 + 16120225 = 14072^2 + 4015^2 .

It is a cyclic number.

It is not a de Polignac number, because 214141409 - 24 = 214141393 is a prime.

It is not a weakly prime, because it can be changed into another prime (214141489) 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, 107070704 + 107070705.

It is an arithmetic number, because the mean of its divisors is an integer number (107070705).

Almost surely, 2214141409 is an apocalyptic number.

It is an amenable number.

214141409 is a deficient number, since it is larger than the sum of its proper divisors (1).

214141409 is an equidigital number, since it uses as much as digits as its factorization.

214141409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 214141409 is about 14633.5713002671. The cubic root of 214141409 is about 598.2741227469.

The spelling of 214141409 in words is "two hundred fourteen million, one hundred forty-one thousand, four hundred nine".