math_fact: 5414 is the number of binary partitions of 43.
trivia: 5414 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
historical_date: October 27th is the day in 1973 that the Cañon City meteorite, a 1.4 kg chondrite type meteorite, strikes in Fremont County, Colorado.