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114032143017 = 32131138625077
BaseRepresentation
bin110101000110011011…
…0000110101010101001
3101220100002121001202100
41222030312012222221
53332014212034032
6124215144324013
711144552136312
oct1521466065251
9356302531670
10114032143017
11443a7198911
121a125173609
13a9a3993b50
14573a903609
152e760bb97c
hex1a8cd86aa9

114032143017 has 24 divisors (see below), whose sum is σ = 178953118344. Its totient is φ = 69552612864.

The previous prime is 114032143013. The next prime is 114032143031. The reversal of 114032143017 is 710341230411.

114032143017 is a `hidden beast` number, since 1 + 1 + 403 + 214 + 30 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314140176 + 113718002841 = 17724^2 + 337221^2 .

It is not a de Polignac number, because 114032143017 - 22 = 114032143013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114032143013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4299318 + ... + 4325759.

It is an arithmetic number, because the mean of its divisors is an integer number (7456379931).

Almost surely, 2114032143017 is an apocalyptic number.

It is an amenable number.

114032143017 is a deficient number, since it is larger than the sum of its proper divisors (64920975327).

114032143017 is a wasteful number, since it uses less digits than its factorization.

114032143017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625209 (or 8625206 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 114032143017 its reverse (710341230411), we get a palindrome (824373373428).

It can be divided in two parts, 114032 and 143017, that added together give a square (257049 = 5072).

The spelling of 114032143017 in words is "one hundred fourteen billion, thirty-two million, one hundred forty-three thousand, seventeen".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 8625077 25875231 77625693 112126001 336378003 974633701 1009134009 2923901103 8771703309 12670238113 38010714339 114032143017