It is a Venn diagram, named after John Venn - not when!
First, you need a universal set, U, usually represented by a rectangle. Inside that rectangle, you have a circular shape representing a set A. Then the complement of A, with respect to U is all of U except for the circle A.
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How do you use an exponent to represent a number such as 16
Venn diagrams were introduced in 1880 by John Venn (1834-1923) in a paper entitled On the Diagrammatic and Mechanical Representation of Propositions and Reasonings in the "Philosophical Magazine and Journal of Science", about the different ways to represent propositions by diagrams. Venn himself did not use the term "Venn diagram" and referred to his invention as "Eulerian Circles."
Z, or more commonly denoted, ℤ (double line), is just the standard set mathematicians use to hold the set of all integers. Not everything stems from English, and in this case, the "Z" comes from the word "die Zahlen", which is the German plural word for numbers.