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14014774177 = 171109374317
BaseRepresentation
bin11010000110101100…
…00111101110100001
31100011201021021221021
431003112013232201
5212200240233202
610234401125441
71004204420635
oct150326075641
940151237837
1014014774177
115a41a7a2a8
122871629881
1314246b27b1
1496d440dc5
155705a0a37
hex343587ba1

14014774177 has 8 divisors (see below), whose sum is σ = 14840710056. Its totient is φ = 13189009152.

The previous prime is 14014774157. The next prime is 14014774181. The reversal of 14014774177 is 77147741041.

14014774177 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 4 ways, for example, as 6424182801 + 7590591376 = 80151^2 + 87124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14014774177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14014774157) 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 7 ways as a sum of consecutive naturals, for example, 151423 + ... + 225739.

It is an arithmetic number, because the mean of its divisors is an integer number (1855088757).

Almost surely, 214014774177 is an apocalyptic number.

14014774177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14014774177 is a deficient number, since it is larger than the sum of its proper divisors (825935879).

14014774177 is a wasteful number, since it uses less digits than its factorization.

14014774177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85427.

The product of its (nonzero) digits is 153664, while the sum is 43.

The spelling of 14014774177 in words is "fourteen billion, fourteen million, seven hundred seventy-four thousand, one hundred seventy-seven".

Divisors: 1 17 11093 74317 188581 1263389 824398481 14014774177