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400400400269 is a prime number
BaseRepresentation
bin1011101001110011011…
…10010011111110001101
31102021111120222210220102
411310321232103332031
523030010000302034
6503535202100445
740633203150512
oct5647156237615
91367446883812
10400400400269
11144899651011
126572534a725
132b9b058cb8c
141554542d309
15a636b3a97e
hex5d39b93f8d

400400400269 has 2 divisors, whose sum is σ = 400400400270. Its totient is φ = 400400400268.

The previous prime is 400400400251. The next prime is 400400400349. The reversal of 400400400269 is 962004004004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274277401225 + 126122999044 = 523715^2 + 355138^2 .

It is a cyclic number.

It is not a de Polignac number, because 400400400269 - 28 = 400400400013 is a prime.

It is a super-2 number, since 2×4004004002692 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400400400769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200200200134 + 200200200135.

It is an arithmetic number, because the mean of its divisors is an integer number (200200200135).

Almost surely, 2400400400269 is an apocalyptic number.

It is an amenable number.

400400400269 is a deficient number, since it is larger than the sum of its proper divisors (1).

400400400269 is an equidigital number, since it uses as much as digits as its factorization.

400400400269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 400400400269 in words is "four hundred billion, four hundred million, four hundred thousand, two hundred sixty-nine".