Is that, "0.014" or "0.140?" I have never seen service time reported to 2 decimal places.
If it's "0.014," that's 14 days. I expect you would have to hold him 34 minor league days, or very slightly more just to be sure, to save the year of arb. If it's "0.140" then that's 140 days of service time and you'd have to keep him down into the minor league playoffs; the minor league regular season is 156 days long, which is less than 140+20.