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400004630413 is a prime number
BaseRepresentation
bin1011101001000100010…
…00100100011110001101
31102020111000021121201121
411310202020210132031
523023202141133123
6503432023240541
740620326154523
oct5644210443615
91366430247647
10400004630413
11144706205293
12656348a9151
132b94959cb2b
1415508a4a313
15a61201075d
hex5d2222478d

400004630413 has 2 divisors, whose sum is σ = 400004630414. Its totient is φ = 400004630412.

The previous prime is 400004630371. The next prime is 400004630461. The reversal of 400004630413 is 314036400004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 340423237764 + 59581392649 = 583458^2 + 244093^2 .

It is a cyclic number.

It is not a de Polignac number, because 400004630413 - 225 = 399971075981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400004630513) 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, 200002315206 + 200002315207.

It is an arithmetic number, because the mean of its divisors is an integer number (200002315207).

Almost surely, 2400004630413 is an apocalyptic number.

It is an amenable number.

400004630413 is a deficient number, since it is larger than the sum of its proper divisors (1).

400004630413 is an equidigital number, since it uses as much as digits as its factorization.

400004630413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

The spelling of 400004630413 in words is "four hundred billion, four million, six hundred thirty thousand, four hundred thirteen".