- Sobex is right. When you have a lot of atoms and a really good detector, you can detect a few decays per year and determine the half-life of that kind of atom even if it's very long. The longest-lived unstable isotope known, tellurium-128, has a half-life of 2.2 × 10²⁴ years!
https://en.wikipedia.org/wiki/Isotopes_of_tellurium