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114061142727 = 3272258642047
BaseRepresentation
bin110101000111010010…
…0101110101011000111
3101220102010011101212200
41222032210232223013
53332044123031402
6124222102045543
711145353500500
oct1521644565307
9356363141780
10114061142727
11444115a5814
121a132a198b3
13a9a99a873c
1457406d1ba7
152e788e921c
hex1a8e92eac7

114061142727 has 18 divisors (see below), whose sum is σ = 191653757568. Its totient is φ = 65177795592.

The previous prime is 114061142687. The next prime is 114061142729. The reversal of 114061142727 is 727241160411.

114061142727 is a `hidden beast` number, since 1 + 14 + 0 + 611 + 4 + 2 + 7 + 27 = 666.

It is not a de Polignac number, because 114061142727 - 211 = 114061140679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114061142691 and 114061142700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114061142729) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 129320583 + ... + 129321464.

It is an arithmetic number, because the mean of its divisors is an integer number (10647430976).

Almost surely, 2114061142727 is an apocalyptic number.

114061142727 is a deficient number, since it is larger than the sum of its proper divisors (77592614841).

114061142727 is a wasteful number, since it uses less digits than its factorization.

114061142727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258642067 (or 258642057 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 114061142727 in words is "one hundred fourteen billion, sixty-one million, one hundred forty-two thousand, seven hundred twenty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 258642047 775926141 1810494329 2327778423 5431482987 12673460303 16294448961 38020380909 114061142727