@bmk18c, @cvkemp pretty much summed it up, but let me make myself clear so as not to confuse you any more than I might have already. 
The first-generation of OPN hearing aids offered a 312-battery version, which could also be converted to a rechargeable using ZPower batteries and the ZPower charger. The beauty of that system is that you can use either regular 312 batteries or rechargeable ZPower batteries, and you can switch back and forth. If the ZPower batteries run out, you can put in a regular 312 battery until you get some new ZPower batteries. The ZPower batteries are supposed to last one year under normal use. However, many people have found that this is not the case, and some have had problems with the ZPower batteries dying too soon or the ZPower charger giving confusing signals with lights blinking when they shouldn’t etc.
Therefore, when Oticon released the second (and latest) version of OPN, the OPN-S line of products, they no longer offered the ZPower option–now they only offer 312 versions, a size 13 battery version, and a lithium-ion rechargeable version.The new rechargeable OPN-S is designed to give about 24 hours of battery life before needing a recharge, depending on an individual’s hearing needs and usage. The lithium-ion batteries are sealed within the hearing aids (no battery doors to play with), and they are supposed to last 4-5 years. When the lithium-ion battery dies, it can be changed in the audiologist’s office (which is nice, because some rechargeable hearing aids have to be sent back to their manufacturers to have the lithium-ion batteries changed).
So, in summary–I used to wear first generation OPN1 with 312 batteries and ZPower option. I loved the hearing aids, but I did have multiple problems with the ZPower system. When the new OPN-S1 came out, I decided to upgrade. The OPN-S1 rechargeable has been good so far in terms of the rechargeable battery life. When I used disposable 312 batteries with first-generation OPN1, I only got 3-4 days of battery life. Now, with the new lithium-ion OPN-S1R, I still have 50-60 percent of battery life left after 12-14 hours of wear time. I don’t have to worry about changing batteries every few days, but I do have to hope that I’ll always have an electrical outlet available to charge my hearing aids. So it’s a trade off, and you have to decide what works best for your needs and lifestyle. Hope this helps…