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334243141342433 is a prime number
BaseRepresentation
bin100101111111111100000101…
…1101101010101010011100001
31121211110022222012122222222022
41023333320023231111103201
5322302214423140424213
63142513102424151225
7130255161426404111
oct11377701355252341
91554408865588868
10334243141342433
11975557a1650454
12315a2687908515
1311466cba782acb
145c77650a8b041
152899670212308
hex12ffe0bb554e1

334243141342433 has 2 divisors, whose sum is σ = 334243141342434. Its totient is φ = 334243141342432.

The previous prime is 334243141342421. The next prime is 334243141342441.

334243141342433 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318694725192529 + 15548416149904 = 17852023^2 + 3943148^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 334243141342433 - 238 = 333968263435489 is a prime.

It is a super-3 number, since 3×3342431413424333 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (334243141342333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167121570671216 + 167121570671217.

It is an arithmetic number, because the mean of its divisors is an integer number (167121570671217).

Almost surely, 2334243141342433 is an apocalyptic number.

It is an amenable number.

334243141342433 is a deficient number, since it is larger than the sum of its proper divisors (1).

334243141342433 is an equidigital number, since it uses as much as digits as its factorization.

334243141342433 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2985984, while the sum is 44.

The spelling of 334243141342433 in words is "three hundred thirty-four trillion, two hundred forty-three billion, one hundred forty-one million, three hundred forty-two thousand, four hundred thirty-three".