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14411766141 = 323743278577
BaseRepresentation
bin11010110110000001…
…00001100101111101
31101012101021120112100
431123000201211331
5214003403004031
610342022055313
71020064663623
oct153300414575
941171246470
1014411766141
116126080233
12296257a539
131488a0cb96
149aa061513
1559536cde6
hex35b02197d

14411766141 has 12 divisors (see below), whose sum is σ = 21379617532. Its totient is φ = 9348172416.

The previous prime is 14411766097. The next prime is 14411766197. The reversal of 14411766141 is 14166711441.

14411766141 is a `hidden beast` number, since 1 + 441 + 1 + 76 + 6 + 141 = 666.

14411766141 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 11627093241 + 2784672900 = 107829^2 + 52770^2 .

It is not a de Polignac number, because 14411766141 - 29 = 14411765629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14411766096 and 14411766105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14411766241) 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, 21638956 + ... + 21639621.

Almost surely, 214411766141 is an apocalyptic number.

It is an amenable number.

14411766141 is a deficient number, since it is larger than the sum of its proper divisors (6967851391).

14411766141 is a wasteful number, since it uses less digits than its factorization.

14411766141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43278620 (or 43278617 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 14411766141 in words is "fourteen billion, four hundred eleven million, seven hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 43278577 129835731 389507193 1601307349 4803922047 14411766141