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14344611066 = 2322382741897
BaseRepresentation
bin11010101110000000…
…10110010011111010
31101000200220202002100
431113000112103322
5213334210023231
610331222444230
71015321116342
oct152700262372
941020822070
1014344611066
1160a1182675
122943b93676
131477b29256
149a117dd22
1558e5051e6
hex3570164fa

14344611066 has 48 divisors (see below), whose sum is σ = 32471285184. Its totient is φ = 4568004672.

The previous prime is 14344611041. The next prime is 14344611079. The reversal of 14344611066 is 66011644341.

14344611066 is a `hidden beast` number, since 1 + 4 + 34 + 4 + 611 + 0 + 6 + 6 = 666.

14344611066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14344611066.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 321430 + ... + 363326.

It is an arithmetic number, because the mean of its divisors is an integer number (676485108).

Almost surely, 214344611066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14344611066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235642592).

14344611066 is an abundant number, since it is smaller than the sum of its proper divisors (18126674118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14344611066 is a wasteful number, since it uses less digits than its factorization.

14344611066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42755 (or 42752 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14344611066 in words is "fourteen billion, three hundred forty-four million, six hundred eleven thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 827 1654 2481 4962 7443 14886 19021 38042 41897 57063 83794 114126 125691 171189 251382 342378 377073 754146 963631 1927262 2890893 5781786 8672679 17345358 34648819 69297638 103946457 207892914 311839371 623678742 796922837 1593845674 2390768511 4781537022 7172305533 14344611066