The temperature in remote regions of outer space is about 2.7 Kelvin (-270C; -454F).
(But a vast physics experiment built in a tunnel below the French-Swiss border is fast becoming one of the coolest places in the Universe. The Large Hadron Collider is entering the final stages of being lowered to a temperature of 1.9 Kelvin (-271C; -456F) - colder than deep space. Brrrrr.)