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14412184048 = 2410924373391
BaseRepresentation
bin11010110110000100…
…00111100111110000
31101012102001210210101
431123002013213300
5214004004342143
610342035042144
71020101354203
oct153302074760
941172053711
1014412184048
116126336209
122962740354
131488b28172
149aa12d93a
15595401b4d
hex35b0879f0

14412184048 has 40 divisors (see below), whose sum is σ = 28199663360. Its totient is φ = 7134946560.

The previous prime is 14412184043. The next prime is 14412184091. The reversal of 14412184048 is 84048121441.

14412184048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144121840482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14412183998 and 14412184016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14412184043) 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 7 ways as a sum of consecutive naturals, for example, 4248433 + ... + 4251823.

It is an arithmetic number, because the mean of its divisors is an integer number (704991584).

Almost surely, 214412184048 is an apocalyptic number.

It is an amenable number.

14412184048 is a deficient number, since it is larger than the sum of its proper divisors (13787479312).

14412184048 is a wasteful number, since it uses less digits than its factorization.

14412184048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The spelling of 14412184048 in words is "fourteen billion, four hundred twelve million, one hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 109 218 436 872 1744 2437 3391 4874 6782 9748 13564 19496 27128 38992 54256 265633 369619 531266 739238 1062532 1478476 2125064 2956952 4250128 5913904 8263867 16527734 33055468 66110936 132221872 900761503 1801523006 3603046012 7206092024 14412184048