What's a good size sailboat to traverse the world in??

I was thinkgin of buying a 41 foot ct centrepit. I dont know, what do you guys think is a good size? Would this be a decent size boat to traverse the world in? I'm not sure how large the keel is suppose to be, or anything for travelling across the world. Also, im buying a used boat so I was wondering how much it costs to patch up holes in the hull, or anywhere else I have to patch up, and how much does a new motor cost if I have to buy one for the boat. And how would I go about patching up holes in the hull, and basically any other advice you have to recondition a sail boat to a sailable state.