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11240242304 = 27160954577
BaseRepresentation
bin10100111011111100…
…00111110010000000
31002000100111110201112
422131332013302000
5141010000223204
65055205222452
7545354324504
oct123576076200
932010443645
1011240242304
114848907455
122218401a28
1310a1931865
14788b6a304
1545bbe726e
hex29df87c80

11240242304 has 32 divisors (see below), whose sum is σ = 22406997900. Its totient is φ = 5616525312.

The previous prime is 11240242303. The next prime is 11240242309. The reversal of 11240242304 is 40324204211.

11240242304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10130019904 + 1110222400 = 100648^2 + 33320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11240242304.

It is not an unprimeable number, because it can be changed into a prime (11240242303) 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 in 3 ways as a sum of consecutive naturals, for example, 178664 + ... + 233240.

Almost surely, 211240242304 is an apocalyptic number.

It is an amenable number.

11240242304 is a deficient number, since it is larger than the sum of its proper divisors (11166755596).

11240242304 is an equidigital number, since it uses as much as digits as its factorization.

11240242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56200 (or 56188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 11240242304 its reverse (40324204211), we get a palindrome (51564446515).

The spelling of 11240242304 in words is "eleven billion, two hundred forty million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 1609 3218 6436 12872 25744 51488 54577 102976 109154 205952 218308 436616 873232 1746464 3492928 6985856 87814393 175628786 351257572 702515144 1405030288 2810060576 5620121152 11240242304