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14082806241 = 327256512
BaseRepresentation
bin11010001110110011…
…01001000111100001
31100100110021200101100
431013121221013201
5212320144244431
610245231225013
71005661610100
oct150731510741
940313250340
1014082806241
115a77416849
122890378169
13143581265a
149784b0037
1557653d4e6
hex3476691e1

14082806241 has 27 divisors (see below), whose sum is σ = 23667134673. Its totient is φ = 8045893800.

The previous prime is 14082806233. The next prime is 14082806317. The reversal of 14082806241 is 14260828041.

The square root of 14082806241 is 118671.

It is a perfect power (a square), and thus also a powerful number.

14082806241 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 28 + 0 + 624 + 1 = 666.

14082806241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14082806241 - 23 = 14082806233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14082806196 and 14082806205.

It is not an unprimeable number, because it can be changed into a prime (14082806041) 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 26 ways as a sum of consecutive naturals, for example, 2489266 + ... + 2494916.

Almost surely, 214082806241 is an apocalyptic number.

14082806241 is the 118671-st square number.

14082806241 is the 59336-th centered octagonal number.

It is an amenable number.

14082806241 is a deficient number, since it is larger than the sum of its proper divisors (9584328432).

14082806241 is an frugal number, since it uses more digits than its factorization.

14082806241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 14082806241 by its sum of digits (36), we get a square (506981024676 = 7120262).

The spelling of 14082806241 in words is "fourteen billion, eighty-two million, eight hundred six thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5651 16953 39557 50859 118671 276899 356013 830697 2492091 31933801 95801403 223536607 287404209 670609821 1564756249 2011829463 4694268747 14082806241