Daddario XLB160 Bass XL Single String

I use one of these on my 5-string in drop A, I built myself a balanced tension set from it plus EXL170BT (for a 4-string). I went from a .125 that came stock (awful) through a .140 (still not enough) to this and I'm finally satisfied with the tension, feeling and response.
On guitar, I swear by EB strings, but for bass, I love the sound of D'Addario. Very bright and clear. Hopefully they last me a while.
There is one problem though: the ball end is wound so thick (well over the .160 of the body of the string) that no amount of force can make it fit in my bridge. It actually got stuck about 2c from the end and sticks out the back. The tuning is stable though. So bear in mind that you'll most likely have to modify either your bridge or the string.