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3441122314417 is a prime number
BaseRepresentation
bin110010000100110010110…
…111111000100010110001
3110011222010201201122220001
4302010302313320202301
5422334404303030132
611152455121350001
7503420135030434
oct62046267704261
913158121648801
103441122314417
11110740a922597
12476ab4a98301
131bc65b8b5168
14bc7a073381b
155e7a1416ce7
hex32132df88b1

3441122314417 has 2 divisors, whose sum is σ = 3441122314418. Its totient is φ = 3441122314416.

The previous prime is 3441122314361. The next prime is 3441122314451. The reversal of 3441122314417 is 7144132211443.

3441122314417 is digitally balanced in base 3, 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., 1853733987361 + 1587388327056 = 1361519^2 + 1259916^2 .

It is a cyclic number.

It is not a de Polignac number, because 3441122314417 - 219 = 3441121790129 is a prime.

It is a super-2 number, since 2×34411223144172 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3441122315417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1720561157208 + 1720561157209.

It is an arithmetic number, because the mean of its divisors is an integer number (1720561157209).

Almost surely, 23441122314417 is an apocalyptic number.

It is an amenable number.

3441122314417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3441122314417 is an equidigital number, since it uses as much as digits as its factorization.

3441122314417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64512, while the sum is 37.

The spelling of 3441122314417 in words is "three trillion, four hundred forty-one billion, one hundred twenty-two million, three hundred fourteen thousand, four hundred seventeen".