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404010440505425 = 52139649128832941
BaseRepresentation
bin101101111011100100000001…
…0110010101011100001010001
31221222111000120020121110001002
41123313020002302223201101
5410423301340232133200
63551131500101151345
7151045535225523665
oct13367100262534121
91858430506543032
10404010440505425
11107803958153546
123938bb1b0bb555
1314458037387b40
1471aa2d14168a5
1531a938a9abbd5
hex16f7202cab851

404010440505425 has 24 divisors (see below), whose sum is σ = 539565244390200. Its totient is φ = 298315249228800.

The previous prime is 404010440505389. The next prime is 404010440505457. The reversal of 404010440505425 is 524505044010404.

It can be written as a sum of positive squares in 12 ways, for example, as 380980586588176 + 23029853917249 = 19518724^2 + 4798943^2 .

It is not a de Polignac number, because 404010440505425 - 212 = 404010440501329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61280546 + ... + 67552395.

It is an arithmetic number, because the mean of its divisors is an integer number (22481885182925).

Almost surely, 2404010440505425 is an apocalyptic number.

It is an amenable number.

404010440505425 is a deficient number, since it is larger than the sum of its proper divisors (135554803884775).

404010440505425 is a wasteful number, since it uses less digits than its factorization.

404010440505425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128842613 (or 128842608 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 38.

Adding to 404010440505425 its reverse (524505044010404), we get a palindrome (928515484515829).

The spelling of 404010440505425 in words is "four hundred four trillion, ten billion, four hundred forty million, five hundred five thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 325 9649 48245 125437 241225 627185 3135925 128832941 644164705 1674828233 3220823525 8374141165 41870705825 1243109047709 6215545238545 16160417620217 31077726192725 80802088101085 404010440505425