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14444075041 = 112177021913
BaseRepresentation
bin11010111001110111…
…10001100000100001
31101021122002001000021
431130323301200201
5214040140400131
610345134353441
71020636416644
oct153473614041
941248061007
1014444075041
116142338400
12297135b881
131492612a86
149b0471a5b
15598100e11
hex35cef1821

14444075041 has 12 divisors (see below), whose sum is σ = 16810462116. Its totient is φ = 12358565120.

The previous prime is 14444075027. The next prime is 14444075057. The reversal of 14444075041 is 14057044441.

14444075041 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 6968743441 + 7475331600 = 83479^2 + 86460^2 .

It is not a de Polignac number, because 14444075041 - 213 = 14444066849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14444074988 and 14444075006.

It is not an unprimeable number, because it can be changed into a prime (14444075021) 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 11 ways as a sum of consecutive naturals, for example, 3508900 + ... + 3513013.

It is an arithmetic number, because the mean of its divisors is an integer number (1400871843).

Almost surely, 214444075041 is an apocalyptic number.

14444075041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14444075041 is a deficient number, since it is larger than the sum of its proper divisors (2366387075).

14444075041 is a wasteful number, since it uses less digits than its factorization.

14444075041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021952 (or 7021941 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The spelling of 14444075041 in words is "fourteen billion, four hundred forty-four million, seventy-five thousand, forty-one".

Divisors: 1 11 17 121 187 2057 7021913 77241043 119372521 849651473 1313097731 14444075041