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4003114000177 is a prime number
BaseRepresentation
bin111010010000001100001…
…100000001111100110001
3112011200201220020022010001
4322100030030001330301
51011041334141001202
612303001041510001
7562133616400615
oct72201414017461
915150656208101
104003114000177
111303790546036
125479b6942301
13230651cb5ca6
14dba74b3d345
156e1e456bd87
hex3a40c301f31

4003114000177 has 2 divisors, whose sum is σ = 4003114000178. Its totient is φ = 4003114000176.

The previous prime is 4003114000141. The next prime is 4003114000313. The reversal of 4003114000177 is 7710004113004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3481922412081 + 521191588096 = 1865991^2 + 721936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4003114000177 is a prime.

It is not a weakly prime, because it can be changed into another prime (4003114000477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001557000088 + 2001557000089.

It is an arithmetic number, because the mean of its divisors is an integer number (2001557000089).

Almost surely, 24003114000177 is an apocalyptic number.

It is an amenable number.

4003114000177 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003114000177 is an equidigital number, since it uses as much as digits as its factorization.

4003114000177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 4003114000177 in words is "four trillion, three billion, one hundred fourteen million, one hundred seventy-seven", and thus it is an aban number.