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5040251441 = 2319126007
BaseRepresentation
bin1001011000110110…
…00010001000110001
3111000021010022011022
410230123002020301
540310301021231
62152050025225
7235621300421
oct45433021061
914007108138
105040251441
1121570aa565
12b87b78215
136242b2a04
1435b57c481
151e7757c7b
hex12c6c2231

5040251441 has 12 divisors (see below), whose sum is σ = 5287953216. Its totient is φ = 4795070280.

The previous prime is 5040251423. The next prime is 5040251479. The reversal of 5040251441 is 1441520405.

It is not a de Polignac number, because 5040251441 - 222 = 5036057137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5040251441.

It is not an unprimeable number, because it can be changed into a prime (5040451441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836060 + ... + 842066.

It is an arithmetic number, because the mean of its divisors is an integer number (440662768).

Almost surely, 25040251441 is an apocalyptic number.

It is an amenable number.

5040251441 is a deficient number, since it is larger than the sum of its proper divisors (247701775).

5040251441 is an equidigital number, since it uses as much as digits as its factorization.

5040251441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 5040251441 is about 70994.7282620337. The cubic root of 5040251441 is about 1714.5522879973.

Adding to 5040251441 its reverse (1441520405), we get a palindrome (6481771846).

The spelling of 5040251441 in words is "five billion, forty million, two hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 23 191 4393 6007 36481 138161 839063 1147337 26388751 219141367 5040251441