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The six-ex-grand tethrathoth (also called grand grand grand grand grand grand tethrathoth[1][2]) is equal to E100#^#^#...#^#^#100 (grand grand grand grand grand tethrathoth #'s) = E100#^^#100#7 in Extended Cascading-E Notation.[3] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the word "grand" and the number "grand grand grand grand grand tethrathoth".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,8,2(X\uparrow\uparrow X)2\}$$[4]
Bird's array notation $$\{100,8,2[1 \backslash 2] 2\}$$
Hyperfactorial array notation $$((((((100![1,1,1,1,2])![1,1,1,1,2])![1,1,1,1,2]) \\ ![1,1,1,1,2])![1,1,1,1,2])![1,1,1,1,2])![1,1,1,1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0}^7(100)$$
Hardy hierarchy $$H_{\varepsilon_0 7}(101)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+1})})})})})})})}(100)$$

## Sources

1. 4.3.5 Cascading-E Numbers by Sbiis Saibian
2. Sbiis Saibian's Ultimate Large Numbers List - Part III
3. Sbiis Saibian, 4.3.7 Extended Cascading-E Numbers Part I
4. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.