- Not to be confused with Billion.
Byllion is equal to \(10^{16}\) in the -yllion system by Donald Knuth[1][2][3][4], or 10 squared 4 times. It is equal to 10 quadrillion in the short scale and 10 billiard in the long scale.
Its full decimal expansion is 10,000,000,000,000,000.
It is also called Jing (京 in Chinese) or Kei (京 in Japanese) in both Japanese counting system and Chinese counting system.[5]
Aarex Tiaokhiao calls this number sxdoocol or 16-noogol.[6]
CompactStar gave the name tetryriad for this number as part of the -yriad system, referring to it being myriad4.[7]
This number is the unit of the second order in the sand reckoner system because it is the result of (108)2 [8]
DeepLineMadom calls the number troo-exdecol, and is equal to 10[3]16 in DeepLineMadom's Array Notation.[9]

A Byllion dollars in 25 piles of 100 dollar bills, in comparison to the Empire State Building
As a banknote denomination[]
Only the Hungarian pengő had banknotes with this number in the denomination.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{16}\) | |
Arrow notation | \(10\uparrow16\) | |
Steinhaus-Moser Notation | 13[3] | 14[3] |
Copy notation | 9[16] | 1[17] |
Taro's multivariable Ackermann function | A(3,50) | A(3,51) |
Pound-Star Notation | #*(2,4,4)*5 | #*(5)*21 |
BEAF | {10,16} | |
Hyper-E notation | E16 | |
Bashicu matrix system | (0)(0)[10000] | |
Hyperfactorial array notation | 18! | 19! |
Fast-growing hierarchy | \(f_2(47)\) | \(f_2(48)\) |
Hardy hierarchy | \(H_{\omega^2}(47)\) | \(H_{\omega^2}(48)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega+6}}(10), g_{\omega^{2}}^{4}(10)\) |
Sources[]
- ↑ Donald E. Knuth, Supernatural numbers. Appears as pp. 310-325 in The Mathematical Gardner, ed. David A. Klarner (1981). ISBN 1468466887
- ↑ Myriad system on Wikipedia
- ↑ Large numbers By Robert Munafo
- ↑ Short list of Myriad system
- ↑ 大数の名前
- ↑ Part 1 (LAN) - Aarex Googology[dead link]
- ↑ -yriad numbers. Retrieved Apr 21, 2023
- ↑ https://sacred-texts.com/cla/archim/sand/sandreck.htm
- ↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
See also[]
Myriad System Numbers myllion · byllion · tryllion · quadryllion · quintyllion · sextyllion · septyllion · octyllion · nonyllion · decyllion · undecyllion ·vigintyllion · trigintyllion · centyllion · yoctyllion · latinlatinlatinbyllionyllionyllionyllion
Indian counting system: Lakh · Crore · Padma · Tallakshana · Ogha · Ababa · Atata · Sogandhika · Uppala · Dvajagravati · Kumuda · Pundarika · Paduma · Kathana · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta · Jaghanya Parīta Asaṃkhyāta
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
See also: Template:Googology in Japan