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334114004593 is a prime number
BaseRepresentation
bin1001101110010101011…
…11110001111001110001
31011221101222110000110201
410313022233301321301
520433231141121333
6413253450355201
733065441115565
oct4671257617161
91157358400421
10334114004593
11119773710926
125490612bb01
1325678620445
1412257ad96a5
158a5757c17d
hex4dcabf1e71

334114004593 has 2 divisors, whose sum is σ = 334114004594. Its totient is φ = 334114004592.

The previous prime is 334114004579. The next prime is 334114004611. The reversal of 334114004593 is 395400411433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316662801984 + 17451202609 = 562728^2 + 132103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334114004593 is a prime.

It is a super-2 number, since 2×3341140045932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334114004293) 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, 167057002296 + 167057002297.

It is an arithmetic number, because the mean of its divisors is an integer number (167057002297).

Almost surely, 2334114004593 is an apocalyptic number.

It is an amenable number.

334114004593 is a deficient number, since it is larger than the sum of its proper divisors (1).

334114004593 is an equidigital number, since it uses as much as digits as its factorization.

334114004593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 334114004593 in words is "three hundred thirty-four billion, one hundred fourteen million, four thousand, five hundred ninety-three".