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The current number is around 3 billion. Assuming that Moore's Law continues to hold, there would be 100 billion by the end of the decade (2020) and a trillion by around 2027.

However, as the transistors become smaller there are several issues that are expected to affect the predictions of Moore's Law. Quantum effects are likely to begin playing a part. The chips will generate a lot of heat and drawing that away will become an issue.

Until 2005, transistor numbers were increasing brioadly in line with Moore's Law but the the 2010 update to the International Technology Roadmap for Semiconductors expected growth to slow at the end of 2013, after which time transistor counts will double more slowly.

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