Search a number
-
+
114061076172 = 22323168363227
BaseRepresentation
bin110101000111010010…
…0011110011011001100
3101220102010001000120200
41222032210132123030
53332044113414142
6124222100413500
711145353102451
oct1521644363314
9356363030520
10114061076172
114441155a80a
121a1329a7290
13a9a9984364
1457406b5828
152e788d464c
hex1a8e91e6cc

114061076172 has 18 divisors (see below), whose sum is σ = 288321053748. Its totient is φ = 38020358712.

The previous prime is 114061076159. The next prime is 114061076177. The reversal of 114061076172 is 271670160411.

114061076172 is a `hidden beast` number, since 1 + 1 + 406 + 10 + 76 + 172 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3168363227 = 114061076172 / (1 + 1 + 4 + 0 + 6 + 1 + 0 + 7 + 6 + 1 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (114061076177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1584181578 + ... + 1584181649.

Almost surely, 2114061076172 is an apocalyptic number.

114061076172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114061076172 is an abundant number, since it is smaller than the sum of its proper divisors (174259977576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114061076172 is a wasteful number, since it uses less digits than its factorization.

114061076172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168363237 (or 3168363232 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 114061076172 in words is "one hundred fourteen billion, sixty-one million, seventy-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 3168363227 6336726454 9505089681 12673452908 19010179362 28515269043 38020358724 57030538086 114061076172