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404440202401 is a prime number
BaseRepresentation
bin1011110001010101000…
…00111011110010100001
31102122221010121000121121
411320222200323302201
523111243142434101
6505444113052241
741135255666344
oct5705240736241
91378833530547
10404440202401
11146581a50164
1266472257081
132c1a5509041
1415809b8445b
15a7c16240a1
hex5e2a83bca1

404440202401 has 2 divisors, whose sum is σ = 404440202402. Its totient is φ = 404440202400.

The previous prime is 404440202381. The next prime is 404440202443. The reversal of 404440202401 is 104202044404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399961380625 + 4478821776 = 632425^2 + 66924^2 .

It is a cyclic number.

It is not a de Polignac number, because 404440202401 - 27 = 404440202273 is a prime.

It is not a weakly prime, because it can be changed into another prime (404440205401) 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, 202220101200 + 202220101201.

It is an arithmetic number, because the mean of its divisors is an integer number (202220101201).

Almost surely, 2404440202401 is an apocalyptic number.

It is an amenable number.

404440202401 is a deficient number, since it is larger than the sum of its proper divisors (1).

404440202401 is an equidigital number, since it uses as much as digits as its factorization.

404440202401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 404440202401 its reverse (104202044404), we get a palindrome (508642246805).

It can be divided in two parts, 404440 and 202401, that added together give a square (606841 = 7792).

The spelling of 404440202401 in words is "four hundred four billion, four hundred forty million, two hundred two thousand, four hundred one".