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The dust mite-swarm is equal to 5E14 using Hyper-E notation.[1] The name was coined by Sbiis Saibian. It is equal to 500,000,000,000,000. It is 15 digits long.

## Etymology

The 2 parts of the name, "dust mite" and "swarm" means 50,000 and 1010, which formed 5*1014 when concentrated from left to right.

## Approximations

Notation Lower bound Upper bound
Scientific notation $$5\times10^{14}$$
Arrow notation $$5\uparrow21$$ $$43\uparrow9$$
Steinhaus-Moser Notation 13[3] 14[3]
Copy notation 4[15] 5[15]
Taro's multivariable Ackermann function A(3,45) A(3,46)
Pound-Star Notation #*(4,1,1)*6 #*(0,1,3)*5
BEAF {5,21} {43,9}
Bashicu matrix system (0)(0)[4728] (0)(0)[4729]
Hyperfactorial array notation 17! 18!
Fast-growing hierarchy $$f_2(43)$$ $$f_2(44)$$
Hardy hierarchy $$H_{\omega^2}(43)$$ $$H_{\omega^2}(44)$$
Slow-growing hierarchy $$g_{\omega^{\omega+4}\times5}(10)$$

## Sources

-minutia group
n-ary numbers with multipliers
Eyelash mite group: eyelash mite-speck · eyelash mite-crumb · eyelash mite-chunk · (binary/ternary/octal)eyelash mite · eyelash mite-bunch · eyelash mite-crowd · eyelash mite-swarm
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)
Jumbo shrimp group: (binary/ternary/octal)jumbo shrimp
Lightweight group: (binary/ternary/octal)lightweight
Ogol group: (binary/ternary/octal)ogolspeck · (binary/ternary/octal)ogolcrumb · (binary/ternary/octal)ogolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)ogol(bit/byte)
Tiny twerpuloid group: (binary/ternary/octal)tiny twerpuloid
Googol group: (binary/ternary/octal)googolspeck · (binary/ternary/octal)googolcrumb · (binary/ternary/octal)googolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)googol(bit/byte) · googolbunch · googolcrowd · googolswarm
Eceton group: ecetonspeck · ecetoncrumb · ecetonchunk · ecetonbunch · ecetoncrowd · ecetonswarm
Numbers with base-multipliers
Numbers with -plex