Number Dictionaries
Number Dictionaries
What's so special about 1396552006664?
Both of the pictured books were published in 1986, a curious and interesting number coincidence. They deal for the most part with positive integers but a real number dictionary came out in 1990 that I imagine most folk would find uninteresting.
One used to be able to do real-number searches online at Simon Plouffe's Inverter but it and its successors appear to be no longer operational. Online integer facts may be found here, or here, or here. Of course you can always just google an integer but small numbers will be lost in the noise and large numbers may not be out there. It is possible to restrict one's search to the OEIS database, bearing in mind that a number (even if it is known to be a term of some sequence) will not show unless it has been explicitly mentioned. Bing finds that last example but Google can't be bothered.
Thanks to Robert Gerbicz, we know that 1396552006664 is the smallest base-ten integer for which the number or some non-zero substring thereof is divisible (without remainder) by every number from 1 to 100.
Tuesday, June 1, 2010