The distribution probably depends on the kind of noun, although Benford's law might cover a lot of cases.
This may not answer your question
There's some related empirical data from, but artist of all places, the art world! Artist Golan Levin created a project based on the volume of search results for the numbers one through a million. There are a lot of interesting outliers, of course: 1040, 90210, recent years. But one thing that leaps out is that there are spikes at round numbers (multiples of 100, 10, 5, and so on). I'd be interested to know if there are models of these "round number" peaks.
You can see the project here, which charts all million data points: http://www.turbulence.org/Works/nums/
And here are two graphs from the piece, of the frequencies of the first few hundreds of numbers:
and thousands (the vertical scale is a bit cut off):