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14406962112 = 263225012087
BaseRepresentation
bin11010110101011100…
…01100101111000000
31101012001020111122100
431122232030233000
5214001140241422
610341331110400
71020006104664
oct153256145700
941161214570
1014406962112
116123399964
122960a42400
131487a1a36a
149a95708a4
15594c1e7ac
hex35ab8cbc0

14406962112 has 42 divisors (see below), whose sum is σ = 41294957288. Its totient is φ = 4802320512.

The previous prime is 14406962099. The next prime is 14406962117. The reversal of 14406962112 is 21126960441.

14406962112 is a `hidden beast` number, since 14 + 4 + 0 + 6 + 9 + 621 + 12 = 666.

14406962112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14406962117) 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 5 ways as a sum of consecutive naturals, for example, 12505468 + ... + 12506619.

Almost surely, 214406962112 is an apocalyptic number.

14406962112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14406962112 is an abundant number, since it is smaller than the sum of its proper divisors (26887995176).

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

14406962112 is a wasteful number, since it uses less digits than its factorization.

14406962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012105 (or 25012092 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14406962112 in words is "fourteen billion, four hundred six million, nine hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 25012087 50024174 75036261 100048348 150072522 200096696 225108783 300145044 400193392 450217566 600290088 800386784 900435132 1200580176 1600773568 1800870264 2401160352 3601740528 4802320704 7203481056 14406962112