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114042041 is a prime number
BaseRepresentation
bin1101100110000…
…10010010111001
321221120221021022
412303002102321
5213143321131
615152152225
72553225041
oct663022271
9257527238
10114042041
1159412523
1232238675
131a81c0c9
1411208721
15a02a37b
hex6cc24b9

114042041 has 2 divisors, whose sum is σ = 114042042. Its totient is φ = 114042040.

The previous prime is 114042011. The next prime is 114042053. The reversal of 114042041 is 140240411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82446400 + 31595641 = 9080^2 + 5621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114042041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114042011) 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, 57021020 + 57021021.

It is an arithmetic number, because the mean of its divisors is an integer number (57021021).

Almost surely, 2114042041 is an apocalyptic number.

It is an amenable number.

114042041 is a deficient number, since it is larger than the sum of its proper divisors (1).

114042041 is an equidigital number, since it uses as much as digits as its factorization.

114042041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 114042041 is about 10679.0468207607. The cubic root of 114042041 is about 484.9403561473.

Adding to 114042041 its reverse (140240411), we get a palindrome (254282452).

The spelling of 114042041 in words is "one hundred fourteen million, forty-two thousand, forty-one".