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34314414149 is a prime number
BaseRepresentation
bin11111111101010011…
…000110100001000101
310021120102121211221202
4133331103012201011
51030233442223044
623432552552245
72323225464521
oct377523064105
9107512554852
1034314414149
1113609657264
1267979b2685
13330b190392
141937444d81
15d5c7a8c4e
hex7fd4c6845

34314414149 has 2 divisors, whose sum is σ = 34314414150. Its totient is φ = 34314414148.

The previous prime is 34314414103. The next prime is 34314414157. The reversal of 34314414149 is 94141441343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25979637124 + 8334777025 = 161182^2 + 91295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34314414149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34314419149) 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, 17157207074 + 17157207075.

It is an arithmetic number, because the mean of its divisors is an integer number (17157207075).

Almost surely, 234314414149 is an apocalyptic number.

It is an amenable number.

34314414149 is a deficient number, since it is larger than the sum of its proper divisors (1).

34314414149 is an equidigital number, since it uses as much as digits as its factorization.

34314414149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 38.

The spelling of 34314414149 in words is "thirty-four billion, three hundred fourteen million, four hundred fourteen thousand, one hundred forty-nine".