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14213541441 = 3111725336081
BaseRepresentation
bin11010011110011000…
…10110111001000001
31100200120021201100210
431033030112321001
5213102131311231
610310221304333
71012140052221
oct151714267101
940616251323
1014213541441
1160341a0070
1229081050a9
131456927968
1498b9c2081
15582c64a46
hex34f316e41

14213541441 has 16 divisors (see below), whose sum is σ = 21890374848. Its totient is φ = 8107545600.

The previous prime is 14213541437. The next prime is 14213541443. The reversal of 14213541441 is 14414531241.

14213541441 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 14213541441 - 22 = 14213541437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14213541399 and 14213541408.

It is not an unprimeable number, because it can be changed into a prime (14213541443) 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 15 ways as a sum of consecutive naturals, for example, 12667480 + ... + 12668601.

It is an arithmetic number, because the mean of its divisors is an integer number (1368148428).

Almost surely, 214213541441 is an apocalyptic number.

14213541441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14213541441 is a deficient number, since it is larger than the sum of its proper divisors (7676833407).

14213541441 is a wasteful number, since it uses less digits than its factorization.

14213541441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25336112.

The product of its digits is 7680, while the sum is 30.

The spelling of 14213541441 in words is "fourteen billion, two hundred thirteen million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 25336081 76008243 278696891 430713377 836090673 1292140131 4737847147 14213541441