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404312502401 is a prime number
BaseRepresentation
bin1011110001000101110…
…01110011000010000001
31102122121020022012010222
411320202321303002001
523111013000034101
6505423312032425
741132145365213
oct5704271630201
91378536265128
10404312502401
1114651695a275
1266437532715
132c184c17402
14157d6c225b3
15a7b52ec01b
hex5e22e73081

404312502401 has 2 divisors, whose sum is σ = 404312502402. Its totient is φ = 404312502400.

The previous prime is 404312502389. The next prime is 404312502439. The reversal of 404312502401 is 104205213404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403917447025 + 395055376 = 635545^2 + 19876^2 .

It is a cyclic number.

It is not a de Polignac number, because 404312502401 - 210 = 404312501377 is a prime.

It is not a weakly prime, because it can be changed into another prime (404312502101) 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, 202156251200 + 202156251201.

It is an arithmetic number, because the mean of its divisors is an integer number (202156251201).

Almost surely, 2404312502401 is an apocalyptic number.

It is an amenable number.

404312502401 is a deficient number, since it is larger than the sum of its proper divisors (1).

404312502401 is an equidigital number, since it uses as much as digits as its factorization.

404312502401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 404312502401 its reverse (104205213404), we get a palindrome (508517715805).

The spelling of 404312502401 in words is "four hundred four billion, three hundred twelve million, five hundred two thousand, four hundred one".