http://www.eso.org/outreach/eduoff/e...denmark_m31_1/
about 25 trillion (I have dispatched a probe to perform an accurate count. I suggest we lock this thread until the probe reports back in approximately 3 billion of your years)
Given the historical estimates for parameters to the Drake Equation found on this page:
http://www.answers.com/topic/drake-equation
How many technological civilizations are in Andromeda?
Edit to add: My point in asking this question was that, I think it should be possible to multiply the rate of star formation in our galaxy by the ratio of stars in our galaxy to stars in Andromeda. That would be the only term you'd need to change to use the equation on another galaxy (I think). If that isn't a valid assumption then I retract the question and somebody else can have a go.