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3002314414417 is a prime number
BaseRepresentation
bin101011101100000111111…
…000100101100101010001
3101122000111110020201011121
4223230013320211211101
5343142214442230132
610215124425242241
7426624102312013
oct53540770454521
911560443221147
103002314414417
11a5830224256a
12405a51033381
1318a16a180ca6
14a54544381b3
155316ca11497
hex2bb07e25951

3002314414417 has 2 divisors, whose sum is σ = 3002314414418. Its totient is φ = 3002314414416.

The previous prime is 3002314414409. The next prime is 3002314414439. The reversal of 3002314414417 is 7144144132003.

3002314414417 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., 2483274857281 + 519039557136 = 1575841^2 + 720444^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002314414417 - 23 = 3002314414409 is a prime.

It is not a weakly prime, because it can be changed into another prime (3002314414457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501157207208 + 1501157207209.

It is an arithmetic number, because the mean of its divisors is an integer number (1501157207209).

Almost surely, 23002314414417 is an apocalyptic number.

It is an amenable number.

3002314414417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002314414417 is an equidigital number, since it uses as much as digits as its factorization.

3002314414417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 3002314414417 in words is "three trillion, two billion, three hundred fourteen million, four hundred fourteen thousand, four hundred seventeen".