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134834666438401 is a prime number
BaseRepresentation
bin11110101010000110100100…
…011001010111111100000001
3122200102001211201212021010121
4132222012210121113330001
5120133112344102012101
61154434105102300241
740254324505322266
oct3652064431277401
9580361751767117
10134834666438401
1139a65074087886
1213157a40b87681
135a30b15402017
14254206594126d
15108c55be880a1
hex7aa1a4657f01

134834666438401 has 2 divisors, whose sum is σ = 134834666438402. Its totient is φ = 134834666438400.

The previous prime is 134834666438389. The next prime is 134834666438429. The reversal of 134834666438401 is 104834666438431.

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., 123619374480625 + 11215291957776 = 11118425^2 + 3348924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-134834666438401 is a prime.

It is a super-2 number, since 2×1348346664384012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134834666438401.

It is not a weakly prime, because it can be changed into another prime (134834666438701) 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, 67417333219200 + 67417333219201.

It is an arithmetic number, because the mean of its divisors is an integer number (67417333219201).

Almost surely, 2134834666438401 is an apocalyptic number.

It is an amenable number.

134834666438401 is a deficient number, since it is larger than the sum of its proper divisors (1).

134834666438401 is an equidigital number, since it uses as much as digits as its factorization.

134834666438401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95551488, while the sum is 61.

The spelling of 134834666438401 in words is "one hundred thirty-four trillion, eight hundred thirty-four billion, six hundred sixty-six million, four hundred thirty-eight thousand, four hundred one".