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14407650405 = 325320170009
BaseRepresentation
bin11010110101100001…
…10100110001100101
31101012002112110210200
431122300310301211
5214001324303110
610341353541113
71020015002451
oct153260646145
941162473720
1014407650405
116123819aa5
122961114799
131487bcb735
149a96ad661
15594d086c0
hex35ac34c65

14407650405 has 12 divisors (see below), whose sum is σ = 24973260780. Its totient is φ = 7684080192.

The previous prime is 14407650349. The next prime is 14407650407. The reversal of 14407650405 is 50405670441.

14407650405 is a `hidden beast` number, since 144 + 0 + 7 + 6 + 504 + 0 + 5 = 666.

14407650405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8452595844 + 5955054561 = 91938^2 + 77169^2 .

It is not a de Polignac number, because 14407650405 - 28 = 14407650149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14407650405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14407650407) 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 11 ways as a sum of consecutive naturals, for example, 160084960 + ... + 160085049.

It is an arithmetic number, because the mean of its divisors is an integer number (2081105065).

Almost surely, 214407650405 is an apocalyptic number.

14407650405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14407650405 is a deficient number, since it is larger than the sum of its proper divisors (10565610375).

14407650405 is a wasteful number, since it uses less digits than its factorization.

14407650405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320170020 (or 320170017 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

It can be divided in two parts, 144076 and 50405, that added together give a 4-th power (194481 = 214).

The spelling of 14407650405 in words is "fourteen billion, four hundred seven million, six hundred fifty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 320170009 960510027 1600850045 2881530081 4802550135 14407650405