e (Euler) N decimals Generator

The number e, roughly 2.718282, is the base of the natural logarithm and the constant describing continuous growth. It appears when you ask what happens to compound interest as the compounding frequency rises: one unit at 100% a year yields 2 compounded once, 2.25 compounded twice, 2.6130 compounded monthly — and converges to e in the continuous limit.

Choose the places and the page delivers up to a thousand digits, computed from the sum of reciprocal factorials, the series converging fastest to this constant: by twenty terms you already have more than eighteen correct places. The digits were checked against published values before being fixed in the source.

The property making e ubiquitous in calculus is that the exponential function with base e equals its own derivative — the only non-zero function with that characteristic. That is why it turns up in radioactive decay, in capacitor charging, in cooling and in any process whose rate of change is proportional to the quantity present.