Octonawazilion

Octonawazilion is a proposed name for the number in the Namkaran framework, a naming system for extremely large numbers described by Project Namkaran.

According to this proposed definition, an octonawazilion is 1 followed by one billion zeros. The name is part of a series of proposed names for numbers with increasingly large powers of ten.

Mathematical definition

An octonawazilion is defined in the Namkaran framework as:

Since , both expressions represent the same number.

In decimal notation, an octonawazilion is written as 1 followed by 1,000,000,000 zeros. It has 1,000,000,001 digits in total: one leading digit and one billion zeros.

Exponential notation makes it possible to describe this number without writing out all its digits.

Comparison with other large numbers

The following table compares an octonawazilion with other numbers.

Name Mathematical value Number of zeros after the initial 1
Thousand 3
Million 6
Billion 9
Googol 100
Nawazilion 1,000
Septenawazilion 1,000,000
Octonawazilion 1,000,000,000
Googolplex

An octonawazilion is much larger than a googol, a nawazilion, and a septenawazilion. It is still smaller than a googolplex.

Namkaran framework

Project Namkaran describes a proposed naming system for numbers represented by very large powers of ten. The framework assigns names to different levels of extremely large numbers.

In the proposed sequence, Octonawazilion follows Septenawazilion and comes before Novanawazilion. Each name represents a different numerical value within the framework.

The Namkaran framework is a proposed naming convention. Octonawazilion is not a standard mathematical term in general use.

Uses

Numbers such as are far larger than quantities commonly used in everyday counting. Exponential notation allows such numbers to be described without writing out every digit.

The proposed name provides a short way to refer to this number within the Namkaran framework. The framework also proposes names for numbers with even larger exponents.

See also

References

  1. 1 2 Project Namkaran: A Scalable Naming System for Hyperlarge Numbers
  2. 1 2 Beyond Googol: Extending the Namkaran Framework for Naming Numbers of Higher Orders
  3. 1 2 Project Namkaran