A battery, that can be repeatedly recharged by supplying it with electrical energy, is known as a:

Batteries that can be repeatedly recharged and discharged are known as secondary cells, or "storage batteries." They store electrical energy through a reversible chemical reaction. Examples include lead-acid, lithium-ion, and nickel-metal hydride batteries. In contrast, a "primary battery" is designed to be used once and discarded, as its chemical reaction cannot be easily or safely reversed. Common alkaline AA batteries are classic examples of primary batteries. The terms "low leakage battery" and "memory battery" refer to specific characteristics or specific use cases (like CMOS batteries in computers) rather than the general classification of rechargeable batteries.