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34135431461 is a prime number
BaseRepresentation
bin11111110010101000…
…010101100100100101
310021002221211120212022
4133302220111210211
51024402132301321
623403120432525
72315623244225
oct376250254445
9107087746768
1034135431461
111352761998a
126747a78745
1332b0084571
14191b774085
15d4bc01dab
hex7f2a15925

34135431461 has 2 divisors, whose sum is σ = 34135431462. Its totient is φ = 34135431460.

The previous prime is 34135431413. The next prime is 34135431529. The reversal of 34135431461 is 16413453143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29551329025 + 4584102436 = 171905^2 + 67706^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135431461 - 214 = 34135415077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34135431661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067715730 + 17067715731.

It is an arithmetic number, because the mean of its divisors is an integer number (17067715731).

Almost surely, 234135431461 is an apocalyptic number.

It is an amenable number.

34135431461 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135431461 is an equidigital number, since it uses as much as digits as its factorization.

34135431461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51840, while the sum is 35.

The spelling of 34135431461 in words is "thirty-four billion, one hundred thirty-five million, four hundred thirty-one thousand, four hundred sixty-one".