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3334214401009 is a prime number
BaseRepresentation
bin110000100001001110101…
…010100011101111110001
3102210202012010121221220121
4300201032222203233301
5414111432341313014
611031414510010241
7462613640535622
oct60411652435761
912722163557817
103334214401009
11107603a119948
1245a2397a6981
131b2551ba23bb
14b753c087a49
155bae5a03124
hex3084eaa3bf1

3334214401009 has 2 divisors, whose sum is σ = 3334214401010. Its totient is φ = 3334214401008.

The previous prime is 3334214400961. The next prime is 3334214401061. The reversal of 3334214401009 is 9001044124333.

3334214401009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2668567280625 + 665647120384 = 1633575^2 + 815872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3334214401009 is a prime.

It is a super-2 number, since 2×33342144010092 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3334214401069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1667107200504 + 1667107200505.

It is an arithmetic number, because the mean of its divisors is an integer number (1667107200505).

Almost surely, 23334214401009 is an apocalyptic number.

It is an amenable number.

3334214401009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3334214401009 is an equidigital number, since it uses as much as digits as its factorization.

3334214401009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 3334214401009 in words is "three trillion, three hundred thirty-four billion, two hundred fourteen million, four hundred one thousand, nine".