Some French physicists have measured the longest half-life of a radioactive isotope. Any amount of the isotope Bismuto-209 takes 2 x 1018 years to transform half into Talio-205 isotopes.
Therefore, it disintegrates very slowly, it is the most stable radioactive isotope. To measure this, scientists have measured the emission rate of alpha particles at very low temperature. The result corresponds to a previous theoretical calculation.