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14034380778 = 232113585791
BaseRepresentation
bin11010001001000001…
…11010011111101010
31100020002011102010200
431010200322133222
5212220300141103
610240341253030
71004533161015
oct150440723752
940202142120
1014034380778
115a52051000
122878104176
131428788b32
14971ca637c
155721750a3
hex34483a7ea

14034380778 has 48 divisors (see below), whose sum is σ = 33446380032. Its totient is φ = 4252835400.

The previous prime is 14034380771. The next prime is 14034380779. The reversal of 14034380778 is 87708343041.

14034380778 is a `hidden beast` number, since 140 + 3 + 438 + 0 + 7 + 78 = 666.

14034380778 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 (14034380771) 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 23 ways as a sum of consecutive naturals, for example, 268938 + ... + 316853.

It is an arithmetic number, because the mean of its divisors is an integer number (696799584).

Almost surely, 214034380778 is an apocalyptic number.

14034380778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14034380778 is an abundant number, since it is smaller than the sum of its proper divisors (19411999254).

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

14034380778 is a wasteful number, since it uses less digits than its factorization.

14034380778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585832 (or 585807 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 14034380778 in words is "fourteen billion, thirty-four million, three hundred eighty thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 23958 585791 1171582 1757373 3514746 5272119 6443701 10544238 12887402 19331103 38662206 57993309 70880711 115986618 141761422 212642133 425284266 637926399 779687821 1275852798 1559375642 2339063463 4678126926 7017190389 14034380778