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34114440149 is a prime number
BaseRepresentation
bin11111110001011000…
…010000101111010101
310021001111100010012022
4133301120100233111
51024331244041044
623401050502525
72315246646116
oct376130205725
9107044303168
1034114440149
1113516791899
126740a34a45
1332a8914b7a
141918a6c20d
15d49e573ee
hex7f1610bd5

34114440149 has 2 divisors, whose sum is σ = 34114440150. Its totient is φ = 34114440148.

The previous prime is 34114440127. The next prime is 34114440163. The reversal of 34114440149 is 94104441143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33191374225 + 923065924 = 182185^2 + 30382^2 .

It is a cyclic number.

It is not a de Polignac number, because 34114440149 - 212 = 34114436053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34114440119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17057220074 + 17057220075.

It is an arithmetic number, because the mean of its divisors is an integer number (17057220075).

Almost surely, 234114440149 is an apocalyptic number.

It is an amenable number.

34114440149 is a deficient number, since it is larger than the sum of its proper divisors (1).

34114440149 is an equidigital number, since it uses as much as digits as its factorization.

34114440149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 34114440149 in words is "thirty-four billion, one hundred fourteen million, four hundred forty thousand, one hundred forty-nine".