Yes. And I really do think it approaches infinity, or else our wetware has a limited clocking speed and that would define a single atomic moment of awareness (seems more likely since we're highly advanced computers, but computers nonetheless.) Even as I was writing the comment several clocks might have been spent not on it, but picking up ambient sound and other stimulae. To the extent that I'm half conscious to these other things, I was actually fully conscious to them though for only a few number of clocks, whereas things on which I seem to be fully conscious are demanding the majority of my (multi)processor clocks. There's the case for whether we can truly multitask--are we multi-core? We definitely are as to the many functions done subconsciously, but what about the conscious regions of the brain? But to simplify the thought experiment, we can simply think that we can only really spend any single moment of awareness on a single atomic thing, and like a computer we juggle attention between various things so fast as to make it seem we're doing them all concurrently (like the various applications simultaneously running on a computer.)

The upside, of course, is that my philosophy frees me up for gultfree teletransportation. Bring it on!