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14024010561 = 3111985726099
BaseRepresentation
bin11010000111110010…
…10110101101000001
31100012100122112212120
431003321112231001
5212210121314221
610235331114453
71004346060111
oct150371265501
940170575776
1014024010561
115a47208780
122874742a29
131426597902
14970767041
155712c75c6
hex343e56b41

14024010561 has 32 divisors (see below), whose sum is σ = 21498048000. Its totient is φ = 8042359680.

The previous prime is 14024010557. The next prime is 14024010563. The reversal of 14024010561 is 16501042041.

It is a happy number.

14024010561 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 14024010561 - 22 = 14024010557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14024010563) 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 31 ways as a sum of consecutive naturals, for example, 524290 + ... + 550388.

It is an arithmetic number, because the mean of its divisors is an integer number (671814000).

Almost surely, 214024010561 is an apocalyptic number.

14024010561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14024010561 is a deficient number, since it is larger than the sum of its proper divisors (7474037439).

14024010561 is a wasteful number, since it uses less digits than its factorization.

14024010561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26989.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 14024010561 in words is "fourteen billion, twenty-four million, ten thousand, five hundred sixty-one".

Divisors: 1 3 11 19 33 57 209 627 857 2571 9427 16283 26099 28281 48849 78297 179113 287089 495881 537339 861267 1487643 5454691 16364073 22366843 67100529 246035273 424970017 738105819 1274910051 4674670187 14024010561