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14274043441 = 7441831747
BaseRepresentation
bin11010100101100110…
…01001111000110001
31100211210010112111121
431102303021320301
5213213123342231
610320222142241
71013503240000
oct152263117061
940753115447
1014274043441
116065364119
122924421981
13146631c268
14995a50c37
15588216311
hex352cc9e31

14274043441 has 40 divisors (see below), whose sum is σ = 17273610144. Its totient is φ = 11785919040.

The previous prime is 14274043391. The next prime is 14274043447. The reversal of 14274043441 is 14434047241.

14274043441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14274043441 - 217 = 14273912369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14274043397 and 14274043406.

It is not an unprimeable number, because it can be changed into a prime (14274043447) 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 39 ways as a sum of consecutive naturals, for example, 8169730 + ... + 8171476.

Almost surely, 214274043441 is an apocalyptic number.

It is an amenable number.

14274043441 is a deficient number, since it is larger than the sum of its proper divisors (2999566703).

14274043441 is an frugal number, since it uses more digits than its factorization.

14274043441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 14274043441 in words is "fourteen billion, two hundred seventy-four million, forty-three thousand, four hundred forty-one".

Divisors: 1 7 41 49 83 287 343 581 1747 2009 2401 3403 4067 12229 14063 23821 28469 71627 85603 98441 145001 166747 199283 501389 599221 1015007 1167229 3509723 4194547 5945041 7105049 8170603 24568061 41615287 49735343 171976427 291307009 348147401 2039149063 14274043441