The quadrillion is a large number which has one of two values depending on how or where it is being used. Quadrillion comes after trillion. Number is the current mathematics collaboration of the week! Please help improve it to featured article standard. ... The numeral trillion refers to one of two number values, depending on the context of where and how it is being used. ...

Short scale usage

In short scale usage, a quadrillion is equal to a 1 with 15 zeroes, namely: 1,000,000,000,000,000 (10¹⁵) Long scale is the English translation of the French term échelle longue, which designates a system of numeric names in which the word billion means a million millions. ... (Redirected from 1 E15) This list compares various sizes of positive numbers, including counts of things, dimensionless numbers and probabilities. ...

It is a thousand trillion (short scale), i.e. a thousand million million. The SI prefix for this number is peta. An SI prefix is a prefix that can be applied to an SI unit to form a decimal multiple or submultiple. ... This article describes the SI prefix peta. ...

Long scale usage

In long scale usage, a quadrillion is equal to a 1 with 24 zeroes, namely: 1,000,000,000,000,000,000,000,000 (10²⁴) Long scale is the English translation of the French term échelle longue, which designates a system of numeric names in which the word billion means a million millions. ... 1 E24 (1024) is the scientific notation for a quadrillion in traditional European usage. ...

It is a thousand sextillion (short scale), The SI prefix for this number is yotta. Yotta (symbol Y) is a SI prefix in the SI (system of units) denoting 1024 or 1 000 000 000 000 000 000 000 000. ...

While people in the British Isles, Australia and New Zealand traditionally employed the long scale usage, they have largely switched to the short scale usage. This article may contain original research or unverified claims. ...

Properties

Quadrillion is the lowest natural number with a "q" in its name. A quadrillion has 255 proper divisors. The divisor function calculated on a quadrillion is equal to: In mathematics the divisor function σa(n) is defined as the sum of the ath powers of the divisors of n, or The notations d(n) and (the tau function) are also used to denote σ0(n), or the number of divisors of n. ...

and therefore its abundancy is 499,961,853,010,960, which is almost half of a quadrillion. The divisor function of a quadrillion (and indeed, of all high powers of ten) may be calculated with the formula: In mathematics, an abundant number or excessive number is a number n for which σ(n) > 2n. ...

which may be seen by applying the formula for the partial sum of a geometric series twice to the sum of the divisors. In mathematics, a geometric progression is a sequence of numbers such that the quotient of any two successive members of the sequence is a constant called the common ratio of the sequence. ...

See also

• List of numbers
• Names of large numbers