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314202400039417 is a prime number
BaseRepresentation
bin100011101110000111111001…
…0011100010010000111111001
31112012111110022111020212020211
41013130033302130102013321
5312140343003402230132
63032130331230351121
7123116242244114131
oct10734176234220771
91465443274225224
10314202400039417
119112954264545a
122b2a664405b4a1
131064220b9787a6
145783697a15ac1
15264d1d3764147
hex11dc3f27121f9

314202400039417 has 2 divisors, whose sum is σ = 314202400039418. Its totient is φ = 314202400039416.

The previous prime is 314202400039399. The next prime is 314202400039453. The reversal of 314202400039417 is 714930004202413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226922167812096 + 87280232227321 = 15063936^2 + 9342389^2 .

It is a cyclic number.

It is not a de Polignac number, because 314202400039417 - 247 = 173464911684089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314202400039417.

It is not a weakly prime, because it can be changed into another prime (314202400039477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157101200019708 + 157101200019709.

It is an arithmetic number, because the mean of its divisors is an integer number (157101200019709).

Almost surely, 2314202400039417 is an apocalyptic number.

It is an amenable number.

314202400039417 is a deficient number, since it is larger than the sum of its proper divisors (1).

314202400039417 is an equidigital number, since it uses as much as digits as its factorization.

314202400039417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 314202400039417 in words is "three hundred fourteen trillion, two hundred two billion, four hundred million, thirty-nine thousand, four hundred seventeen".