## Sunday, December 21, 2014

### 200,000

These are pictures of the world's largest Chanukiyah (32 feet, at 5th avenue and 59 st) and the world's smallest (0.05 mm, about the size of a speck of dust, made in a lab at Hebrew U.). The largest is about 200,000 ties as large as the smallest.  The largest one is next to the NYC buildings, the smallest one is next to a piece of human hair.   (These pictures are not in proportion to each other.)

## Monday, December 1, 2014

### 6,086,555,670,238,378,989,670,371,734,243,169,622,657,830,773,351,885,970,528,324,860,512,791,691,276 (12 + 6,086,555,670,238,378,989,670,371,734,243,169,622,657,830,773,351,885,970,528,324,860,512,791,691,264)

In number theory, a sublime number is a positive integer which has a perfect number of positive divisors (including itself), and whose positive divisors add up to another perfect number.

The number 12, for example, is a sublime number. It has a perfect number of positive divisors (6): 1, 2, 3, 4, 6, and 12, and the sum of these is again a perfect number: 1 + 2 + 3 + 4 + 6 + 12 = 28.

There are only two known sublime numbers, 12 and
(2126)(261 − 1)(231 − 1)(219 − 1)(27 − 1)(25 − 1)(23 − 1)
The second of these has 76 decimal digits:
6086555670238378989670371734243169622657830773351885970528324860512791691264.

So today's number is the sum of these two numbers.