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400400400349 is a prime number
BaseRepresentation
bin1011101001110011011…
…10010011111111011101
31102021111120222211000101
411310321232103333131
523030010000302344
6503535202101101
740633203150655
oct5647156237735
91367446884011
10400400400349
11144899651084
126572534a791
132b9b058cc21
141554542d365
15a636b3a9d4
hex5d39b93fdd

400400400349 has 2 divisors, whose sum is σ = 400400400350. Its totient is φ = 400400400348.

The previous prime is 400400400269. The next prime is 400400400383. The reversal of 400400400349 is 943004004004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320150009124 + 80250391225 = 565818^2 + 283285^2 .

It is a cyclic number.

It is not a de Polignac number, because 400400400349 - 29 = 400400399837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400400400749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200200200174 + 200200200175.

It is an arithmetic number, because the mean of its divisors is an integer number (200200200175).

Almost surely, 2400400400349 is an apocalyptic number.

It is an amenable number.

400400400349 is a deficient number, since it is larger than the sum of its proper divisors (1).

400400400349 is an equidigital number, since it uses as much as digits as its factorization.

400400400349 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 28.

The spelling of 400400400349 in words is "four hundred billion, four hundred million, four hundred thousand, three hundred forty-nine".