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14105013546 = 23131910987317
BaseRepresentation
bin11010010001011100…
…10110110100101010
31100102000001221002010
431020232112310222
5212341340413141
610251343220350
71006351431321
oct151056266452
940360057063
1014105013546
115a88a04498
1228978a76b6
13143a2b9680
1497b4110b8
15578478416
hex348b96d2a

14105013546 has 64 divisors (see below), whose sum is σ = 32272732800. Its totient is φ = 4073815296.

The previous prime is 14105013541. The next prime is 14105013581. The reversal of 14105013546 is 64531050141.

It is a happy number.

14105013546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14105013541) 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, 117880 + ... + 205196.

It is an arithmetic number, because the mean of its divisors is an integer number (504261450).

Almost surely, 214105013546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14105013546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136366400).

14105013546 is an abundant number, since it is smaller than the sum of its proper divisors (18167719254).

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

14105013546 is a wasteful number, since it uses less digits than its factorization.

14105013546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87463.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 14105013546 its reverse (64531050141), we get a palindrome (78636063687).

The spelling of 14105013546 in words is "fourteen billion, one hundred five million, thirteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 109 114 218 247 327 494 654 741 1417 1482 2071 2834 4142 4251 6213 8502 12426 26923 53846 80769 87317 161538 174634 261951 523902 1135121 1659023 2270242 3318046 3405363 4977069 6810726 9517553 9954138 19035106 21567299 28552659 43134598 57105318 64701897 123728189 129403794 180833507 247456378 361667014 371184567 542500521 742369134 1085001042 2350835591 4701671182 7052506773 14105013546