How do you know its mold and not just common dirt, grunge, urban smog deposits, or some such?
Celebrate! Now you've got an excuse to buy the hottest yuppie toy, a power washer.
But, if you have proven that it is in fact a mold growth, there are the usual remedies mentioned exhaustively in this newsgroup. For different approach I would clean it (scrub brush, power washer, whatever) and, if the area wasn't obscenely large, use a heat gun to thoroughly dry it, then continue the heat application to a fairly high surface temperature, say 270 F (which ought to kill mold spores dead as Hades), and as soon as it cooled to ambient, slap on a coat of primer, maybe with a mildewcide added. Meanwhile, discussing the problem with the hardiboard customer service people might elicit some helpful information. Perhaps the paint folks, too. Good luck.
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