140064

140064 is a number that has appeared in various contexts, including mathematics, astronomy, and popular culture. It is notable primarily for its appearance in the field of number theory and its association with the number 140064, which is a specific integer with unique properties.

In mathematics, 140064 is often referenced in discussions about highly composite numbers. A highly composite number is a positive integer with more divisors than any smaller positive integer. While 140064 itself is not typically highlighted as a highly composite number, it is sometimes mentioned in relation to other numbers in this category. Its prime factorization is 2^5 × 3^3 × 5 × 7 × 11, which helps illustrate its divisibility properties.

Another context in which 140064 has gained attention is through its connection to the number 140064 in the context of the "140064 problem." This problem involves finding a specific sequence or pattern related to the number, often explored in recreational mathematics or puzzles. The problem gained some notoriety due to its inclusion in certain mathematical competitions or puzzles, where participants were challenged to derive a particular result or sequence involving this number.

In popular culture, 140064 has occasionally surfaced in references to science fiction, particularly in discussions about astronomical objects or hypothetical scenarios involving large numerical identifiers. For example, it has been humorously referenced in some science fiction works as a way to denote a distant or obscure location, galaxy, or object.

While 140064 does not hold widespread significance in mainstream fields, its appearance in niche mathematical discussions and creative works highlights its role as an interesting numerical curiosity. Its properties and associations continue to be explored in specialized contexts, particularly among enthusiasts of number theory and recreational mathematics.