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4004023332317 is a prime number
BaseRepresentation
bin111010010001000010011…
…000110110110111011101
3112011210002021022011022012
4322101002120312313131
51011100214433113232
612303231204001005
7562165300525001
oct72210230666735
915153067264265
104004023332317
1113041078717a8
1254800b390165
132307684c9248
14dbb1d808701
156e2492dd9b2
hex3a442636ddd

4004023332317 has 2 divisors, whose sum is σ = 4004023332318. Its totient is φ = 4004023332316.

The previous prime is 4004023332311. The next prime is 4004023332401. The reversal of 4004023332317 is 7132333204004.

4004023332317 is digitally balanced in base 3, 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., 2691942429796 + 1312080902521 = 1640714^2 + 1145461^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004023332317 - 210 = 4004023331293 is a prime.

It is a super-3 number, since 3×40040233323173 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004023332311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002011666158 + 2002011666159.

It is an arithmetic number, because the mean of its divisors is an integer number (2002011666159).

Almost surely, 24004023332317 is an apocalyptic number.

It is an amenable number.

4004023332317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004023332317 is an equidigital number, since it uses as much as digits as its factorization.

4004023332317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 32.

The spelling of 4004023332317 in words is "four trillion, four billion, twenty-three million, three hundred thirty-two thousand, three hundred seventeen".