The highest public titleIDs are currently 018DF (3DS) and F701C (N3DS) I believe.
Not sure what the point of finding the versions is, but you can find the version by comparing the app files on the SD card with the eShop server's version tmd files to determine which version (as long as the version is available on the server).
Also note that neither direction is a 1:1 correspondance, and though rare, one serial can have multiple titleIDs, and vice versa.
The reason you were linked 3dsdb is because it lists both the titleIDs and the 4-character serial codes.
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