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3344409095857 is a prime number
BaseRepresentation
bin110000101010101110010…
…100001110111010110001
3102211201111121202010011021
4300222232110032322301
5414243322212031412
611040222245415441
7463424401161214
oct60525624167261
912751447663137
103344409095857
11107a3a0822a95
12460203a0a581
131b34b800a20b
14b7c2800b77b
155bee0a1d607
hex30aae50eeb1

3344409095857 has 2 divisors, whose sum is σ = 3344409095858. Its totient is φ = 3344409095856.

The previous prime is 3344409095827. The next prime is 3344409095861. The reversal of 3344409095857 is 7585909044433.

It is a happy number.

3344409095857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2997742497201 + 346666598656 = 1731399^2 + 588784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3344409095857 is a prime.

It is a super-2 number, since 2×33444090958572 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344409095795 and 3344409095804.

It is not a weakly prime, because it can be changed into another prime (3344409095827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1672204547928 + 1672204547929.

It is an arithmetic number, because the mean of its divisors is an integer number (1672204547929).

Almost surely, 23344409095857 is an apocalyptic number.

It is an amenable number.

3344409095857 is a deficient number, since it is larger than the sum of its proper divisors (1).

3344409095857 is an equidigital number, since it uses as much as digits as its factorization.

3344409095857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 3344409095857 in words is "three trillion, three hundred forty-four billion, four hundred nine million, ninety-five thousand, eight hundred fifty-seven".