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34054040561 is a prime number
BaseRepresentation
bin11111101101110001…
…110110101111110001
310020220021200111112112
4133231301312233301
51024220313244221
623351052135105
72313614366042
oct375561665761
9106807614475
1034054040561
1113495688782
126724767495
133299258078
141910a288c9
15d449c615b
hex7edc76bf1

34054040561 has 2 divisors, whose sum is σ = 34054040562. Its totient is φ = 34054040560.

The previous prime is 34054040509. The next prime is 34054040563. The reversal of 34054040561 is 16504045043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33752670961 + 301369600 = 183719^2 + 17360^2 .

It is a cyclic number.

It is not a de Polignac number, because 34054040561 - 214 = 34054024177 is a prime.

Together with 34054040563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34054040563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17027020280 + 17027020281.

It is an arithmetic number, because the mean of its divisors is an integer number (17027020281).

Almost surely, 234054040561 is an apocalyptic number.

It is an amenable number.

34054040561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34054040561 is an equidigital number, since it uses as much as digits as its factorization.

34054040561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34054040561 in words is "thirty-four billion, fifty-four million, forty thousand, five hundred sixty-one".