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34075174141 is a prime number
BaseRepresentation
bin11111101111000010…
…011110010011111101
310020221202110012100201
4133233002132103331
51024241221033031
623353125123501
72314262126011
oct375702362375
9106852405321
1034075174141
11134a6602748
12672b859591
1332a0747448
14191376a541
15d4679cd61
hex7ef09e4fd

34075174141 has 2 divisors, whose sum is σ = 34075174142. Its totient is φ = 34075174140.

The previous prime is 34075174139. The next prime is 34075174151. The reversal of 34075174141 is 14147157043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33390252900 + 684921241 = 182730^2 + 26171^2 .

It is a cyclic number.

It is not a de Polignac number, because 34075174141 - 21 = 34075174139 is a prime.

It is a super-2 number, since 2×340751741412 (a number of 22 digits) contains 22 as substring.

Together with 34075174139, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 34075174141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34075174121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17037587070 + 17037587071.

It is an arithmetic number, because the mean of its divisors is an integer number (17037587071).

Almost surely, 234075174141 is an apocalyptic number.

It is an amenable number.

34075174141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34075174141 is an equidigital number, since it uses as much as digits as its factorization.

34075174141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 34075174141 in words is "thirty-four billion, seventy-five million, one hundred seventy-four thousand, one hundred forty-one".