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34414135229 is a prime number
BaseRepresentation
bin100000000011001111…
…100000011110111101
310021211101021012120002
4200003033200132331
51030440004311404
623450514204045
72325546215525
oct400317403675
9107741235502
1034414135229
111365a978181
126805283625
133325a36c36
1419467a2685
15d66405c1e
hex8033e07bd

34414135229 has 2 divisors, whose sum is σ = 34414135230. Its totient is φ = 34414135228.

The previous prime is 34414135219. The next prime is 34414135243. The reversal of 34414135229 is 92253141443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21351931129 + 13062204100 = 146123^2 + 114290^2 .

It is a cyclic number.

It is not a de Polignac number, because 34414135229 - 228 = 34145699773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34414135192 and 34414135201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34414135219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17207067614 + 17207067615.

It is an arithmetic number, because the mean of its divisors is an integer number (17207067615).

Almost surely, 234414135229 is an apocalyptic number.

It is an amenable number.

34414135229 is a deficient number, since it is larger than the sum of its proper divisors (1).

34414135229 is an equidigital number, since it uses as much as digits as its factorization.

34414135229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 38.

The spelling of 34414135229 in words is "thirty-four billion, four hundred fourteen million, one hundred thirty-five thousand, two hundred twenty-nine".