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214042441 is a prime number
BaseRepresentation
bin11001100001000…
…00011101001001
3112220202111000211
430300200131021
5414243324231
633123401121
75206221304
oct1460403511
9486674024
10214042441
11aa904288
125b8231a1
1335462b42
14205d9b3b
1513bceeb1
hexcc20749

214042441 has 2 divisors, whose sum is σ = 214042442. Its totient is φ = 214042440.

The previous prime is 214042403. The next prime is 214042459. The reversal of 214042441 is 144240412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213276816 + 765625 = 14604^2 + 875^2 .

It is a cyclic number.

It is not a de Polignac number, because 214042441 - 219 = 213518153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (214042471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107021220 + 107021221.

It is an arithmetic number, because the mean of its divisors is an integer number (107021221).

Almost surely, 2214042441 is an apocalyptic number.

It is an amenable number.

214042441 is a deficient number, since it is larger than the sum of its proper divisors (1).

214042441 is an equidigital number, since it uses as much as digits as its factorization.

214042441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 214042441 is about 14630.1893699296. The cubic root of 214042441 is about 598.1819420433.

Adding to 214042441 its reverse (144240412), we get a palindrome (358282853).

The spelling of 214042441 in words is "two hundred fourteen million, forty-two thousand, four hundred forty-one".