Search a number
-
+
400381200629 is a prime number
BaseRepresentation
bin1011101001110001001…
…01000100100011110101
31102021110020212100221122
411310320211010203311
523024440041410004
6503533234353325
740632551024054
oct5647045044365
91367406770848
10400381200629
11144889828043
126571aa2b845
132b9a95c9b47
1415542a7239b
15a6350e6cbe
hex5d389448f5

400381200629 has 2 divisors, whose sum is σ = 400381200630. Its totient is φ = 400381200628.

The previous prime is 400381200623. The next prime is 400381200641. The reversal of 400381200629 is 926002183004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260123460529 + 140257740100 = 510023^2 + 374510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400381200629 is a prime.

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 (400381200623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200190600314 + 200190600315.

It is an arithmetic number, because the mean of its divisors is an integer number (200190600315).

Almost surely, 2400381200629 is an apocalyptic number.

It is an amenable number.

400381200629 is a deficient number, since it is larger than the sum of its proper divisors (1).

400381200629 is an equidigital number, since it uses as much as digits as its factorization.

400381200629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 400381200629 in words is "four hundred billion, three hundred eighty-one million, two hundred thousand, six hundred twenty-nine".