Search a number
-
+
334466333664433 is a prime number
BaseRepresentation
bin100110000001100100000001…
…1000000011110010010110001
31121212020200001212101201020121
41030003020003000132102301
5322314344022404230213
63143203413522210241
7130310252355006205
oct11403100300362261
91555220055351217
10334466333664433
119763141491a413
12316199964b3981
131148206995a729
145c84385000b05
1528a03847d588d
hex130320301e4b1

334466333664433 has 2 divisors, whose sum is σ = 334466333664434. Its totient is φ = 334466333664432.

The previous prime is 334466333664409. The next prime is 334466333664461.

334466333664433 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259206683410609 + 75259650253824 = 16099897^2 + 8675232^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 334466333664433 - 225 = 334466300110001 is a prime.

It is a super-2 number, since 2×3344663336644332 (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (334466333664493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167233166832216 + 167233166832217.

It is an arithmetic number, because the mean of its divisors is an integer number (167233166832217).

Almost surely, 2334466333664433 is an apocalyptic number.

It is an amenable number.

334466333664433 is a deficient number, since it is larger than the sum of its proper divisors (1).

334466333664433 is an equidigital number, since it uses as much as digits as its factorization.

334466333664433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725594112, while the sum is 61.

The spelling of 334466333664433 in words is "three hundred thirty-four trillion, four hundred sixty-six billion, three hundred thirty-three million, six hundred sixty-four thousand, four hundred thirty-three".