I thought there was a thermodynamic constant with exponent 5. So far no luck in finding it.

I need a list of all physics constants of exponent 4 and above. The list below has some, but I need a comprehensive list.

E=(hc^5/G)^1/2
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Aug 10, 2003, 7:15:29 AM
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The Primary Universal Base Unit Values
1) mass… (hc/G)^1/2 = 5.4563026(39) x 10^-8 kg
2) length… (hG/c^3)^1/2 = 4.0507625(38) x 10^-35 m
3) time… (hG/c^5)^1/2 = 1.3511889(41) x 10^-43 s
4) current… e/(hG/c^5)^1/2 = 1.1857530(90) x 10^24 A
5) temperature… b/(hG/c^3)^1/2 = 3.5518626(82) x 10^32 K
6) substance… M/(hc/G)^1/2 = 1.6605387(31) x 10^-27 kmol
7) intensity… (hG/c^5)^1/2/sr = 1.9720204(06) x 10^-45 cd
8) Einstein solid angle = 6.8517999(97) x 10^1 sr
9) Planck plane angle = 1.3703599(97) x 10^2 rad

The Primary Universal Physical Constants

001) irradiance constant i. = 4.5211591(52) x 10-122 s^3/kg
002) radiance constant i.= 3.0978078(26) x 10-120 s^3-sr/kg
003) radiant volume constant = 1.3554094(15) x 10^-113 m-s^2/kg
004) measurement volume = 6.6467654(65) x 10^-104 m^3
005) graviton volume constant = 1.2181812(31) x 10^-96 m^3/kg
006) luminous efficacy = 3.7229937(53) x 10^-96 cd-sr-s^3/kg-m^2
007) electric current volume = 1.3838190(49) x 10^-93 m^2/A
008) luminous energy = 1.8257115(55) x 10^-86 cd-sr-s
009) electric charge volume = 4.1485851(42) x 10^-85 m^3/A-s
010) molar volume = 4.0027765(33) x 10^-77 m^3/kmol
011) moment of inertia = 8.9530708(38) x 10^-77 kg-m^2
012) graviton fluidity = 1.0031235(26) x 10^-70 m-s/kg
013) measurement area = 1.6408677(14) x 10^-69 m^2
014) electric moment = 6.4900363(91) x 10^-54 A-s-m
015) Euclid capacitance = 5.234567901... x 10^-48 A^2-s^4/kg-m^2
016) magnetic moment = 1.9456639(62) x 10^-45 A-m^2
017) luminous intensity = 1.9720204(06) x 10^-45 cd
018) graviton frequency i. = 1.3511889(41) x 10^-43 s
019) luminous flux = 1.3511889(41) x 10^-43 cd-sr
020) graviton moment = 2.2102186(33) x 10^-42 kg-m
021) inductance constant = 3.4877980(18) x 10^-39 kg-m^2/A^2-s^2
022) absorption-emission = 2.4763819(58) x 10^-36 s/kg
023) graviton wavelength = 4.0507625(38) x 10^-35 m
024) Planck constant = 6.6260687(65) x 10^-34 kg-m^2/s
025) relative expansion = 2.8154241(58) x 10^-33 /K
026) electric resistivity = 1.0456155(41) x 10^-30 kg-m^3/A^2-s^3
027) unified substance = 1.6605387(31) x 10^-27 kmol
028) kinematic viscosity = 1.2143880(58) x 10^-26 m^2/s
029) inverse electric current = 8.4334589(42) x 10^-25 /A
030) Boltzmann constant= 1.3806502(93) x 10^-23 kg-m^2/s^2-K
031) thermal resistance = 9.7866124(96) x 10^-21 s^3-K/kg-m^2
032) graviton molality = 3.0433405(93) x 10^-20 kmol/kg
033) elementary charge = 1.6021764(62) x 10^-19 A-s
034) primary radiation = 5.9552136(16) x 10^-17 kg-m^4/s^3
035) specific heat = 2.5303770(42) x 10^-16 m^2/s^2-K
036) magnetic flux q. = 2.0678336(42) x 10^-15 kg-m^2-sr/A-s^2-rad
037) magnetic flux = 4.1356672(77) x 10^-15 kg-m^2/A-s^2
038) electric permittivity = 1.2922425(96) x 10^-13 A^2-s^4/kg-m^3
039) magnetic exposure = 2.9363775(58) x 10^-12 A-s/kg
040) electric constant = 8.854187817... x 10^-12 A^2-s^4-sr/kg-m^3
041) magnetic pole strength = 4.8032041(96) x 10^-11 A-m
042) Newton constant = 6.6723641(43) x 10^-11 m^3/kg-s^2
043) density of states = 2.0392015(07) x 10^-10 s^2/kg-m^2
044) S-B primary constant = 1.3897143(30) x 10^-9 kg/s^3-K^4
045) radiant distribution constant = 3.335640952... x 10^-9 s/m
046) graviton mass constant = 5.4563026(39) x 10^-8 kg
047) molar Planck constant = 3.9903126(87) x 10^-7 kg-m^2/s-kmol
048) magnetic constant = 1.256637061... x 10^-6 kg-m/A^2-s^2-sr
049) electric conductance = 3.8740458(43) x 10^-5 A^2-s^3/kg-m^2
050) conductance q. = 7.7480916(72) x 10^-5 A^2-s^3-rad/kg-m^2-sr
051) magnetic permeability = 8.6102258(15) x 10^-5 kg-m/A^2-s^2
052) fine-structure constant = 7.2973525(36) x 10^-3 /rad
053) second radiation constant = 1.4387752(29) x 10^-2 m-K
054) dielectric constant = 1.4594705(05) x 10^-2 /sr
055) gravitational momentum = 1.6357583(80) x 10^1 kg-m/s
056) relative permeability = 6.8517999(97) x 10^1 sr
057) inverse fine-structure = 1.3703599(97) x 10^2 rad
058) impedance of vacuum = 3.767303134… x 10^2 kg-m^2/A^2-s^3-sr
059) molar gas constant = 8.3144720(88) x 10^3 kg-m^2/s^2-kmol-K
060) spin angle constant = 9.3894326(23) x 10^3 sr-rad
061) i. conductance q. = 1.2906403(83) x 10^4 kg-m^2-sr/A^2-s^3-rad
062) von Klitzing constant = 2.5812807(61) x 10^4 kg-m^2/A^2-s^3
063) inverse gravitational mass = 1.8327429(14) x 10^7 /kg
064) Faraday constant = 9.6485341(30) x 10^7 A-s/kmol
065) speed of light in vacuum = 2.99792458 x 10^8 m/s
066) graviton energy constant = 4.9038802(52) x 10^9 kg-m^2/s^2
067) Josephson primary = 2.4179894(88) x 10^14 A-s^2/kg-m^2
068) Josephson q. = 4.8359789(67) x 10^14 A-s^2-rad/kg-m^2-sr
069) electric displacement = 3.9552465(66) x 10^15 A-s/m
070) absorbed dose = 8.987551787… x 10^16 m^2/s^2
071) luminous density = 2.7467669(26) x 10^17 cd-sr-s/m^3
072) gravity displacement = 4.4930470(15) x 10^18 kg-s/m^2
073) molar mass constant = 3.2858629(17) x 10^19 kg/kmol
074) magnetic potential = 1.0209601(87) x 10^20 kg-m/A-s^2
075) thermal conductance = 1.0218040(21) x 10^20 kg-m^2/s^3-K
076) electric current constant = 1.1857530(90) x 10^24 A
077) luminance constant = 1.2018155(94) x 10^24 cd/m^2
078) luminous flux density = 8.2346000(82) x 10^25 cd-sr/m^2
079) Avogadro constant = 6.0221419(79) x 10^26 /kmol
080) gravitational field = 1.3469816(08) x 10^27 kg/m
081) electric potential = 3.0607616(38) x 10^28 kg-m^2/A-s^3
082) electric conductivity = 9.5637446(19) x 10^29 A^2-s^3/kg-m^3
083) Celcius temperature = 3.5518626(82) x 10^32 K
084) graviton wave number = 2.4686709(99) x 10^34 /m
085) mass flow rate constant = 4.0381492(72) x 10^35 kg/s
086) molar energy = 2.9531863(13) x 10^36 kg-m^2/s^2-kmol
087) surface concentration = 1.0119881(80) x 10^42 kmol/m^2
088) graviton frequency = 7.4008894(66) x 10^42 /s
089) superforce constant = 1.2106066(96) x 10^44 kg-m/s^2
090) luminous intensity i. = 5.0709414(41) x 10^44 /cd
091) angular velocity = 1.0141882(87) x 10^45 rad/s
092) electric flux density = 9.7642024(91) x 10^49 A-s/m^2
093) radiant intensity = 5.2968673(52) x 10^50 kg-m^2/s^3-sr
094) graviton field strength = 2.2187308(44) x 10^51 m/s^2
095) superpower constant = 3.6293075(70) x 10^52 kg-m^2/s^3
096) magnetic flux density = 2.5204148(03) x 10^54 kg/A-s^2
097) thermal conductivity = 2.5224979(53) x 10^54 kg-m/s^3-K
098) magnetic field strength = 2.9272342(65) x 10^58 A/m
099) absorbed dose rate = 6.6515877(33) x 10^59 m^2/s^3
100) graviton surface density = 3.3252544(33) x 10^61 kg/m^2
101) electric field strength = 7.5560134(90) x 10^62 kg-m/A-s^3
102) measurement area i. = 6.0943364(99) x 10^68 /m^2
103) dynamic viscosity = 9.9688619(97) x 10^69 kg/m-s
104) molar concentration = 2.4982658(70) x 10^76 kmol/m^3
105) surface tension constant= 2.9885896(41) x 10^78 kg/s^2
106) electric charge density = 2.4104603(51) x 10^84 A-s/m^3
107) angular acceleration = 7.5058954(07) x 10^87 rad/s^2
108) thermal transfer = 6.2272175(40) x 10^88 kg/s^3-K
109) electric current density = 7.2263783(36) x 10^92 A/m^2
110) luminous efficacy i. = 2.6860104(16) x 10^95 kg-m^2/cd-sr-s^3
111) graviton density constant = 8.2089591(81) x 10^95 kg/m^3
112) measurement density = 1.5044911(77) x 10^103 /m^3
113) radiant density constant = 7.3778445(74) x 10^112 kg/m-s^2
114) radiance constant = 3.2280892(03) x 10^119 kg/s^3-sr
115) irradiance constant = 2.2118221(59) x 10^121 kg/s^3

The Primary Universal Gravitation Equations

E=(hc^5/G)^1/2
4.9038802 x 10^9 kg-m^2/s^2 = [(6.6260687 x 10^-34 kg-m^2/s)
(2.4216061 x 10^42 m^5/s^5)/(6.6723641 x 10^-11 m^3/kg-s^2)]^1/2
4.9038802 x 10^9 kg-m^2/s^2 = 4.9038802 x 10^9 kg-m^2/s^2
[rsu 3.9 x 10^-8]

E=c^5/Gv
4.9038802 x 10^9 kg-m^2/s^2 = (2.4216061 x 10^42 m^5/s^5)/
(6.6723641 x 10^-11 m^3/kg-s^2)(7.4008894 x 10^42 /s)
4.9038802 x 10^9 kg-m^2/s^2 = 4.9038802 x 10^9 kg-m^2/s^2
[rsu 3.9 x 10^-8]

E=hc^3/Gm
4.9038802 x 10^9 kg-m^2/s^2 = (6.6260687 x 10^-34 kg-m^2/s)
(2.6944002 x 10^25 m^3/s^3)/(6.6723641 x 10^-11 m^3/kg-s^2)
(5.4563026 x 10^-8 kg)
4.9038802 x 10^9 kg-m^2/s^2 = 4.9038802 x 10^9 kg-m^2/s^2
[rsu 3.9 x 10^-8]

E=h(Gd)^1/2
4.9038802 x 10^9 kg-m^2/s^2 = (6.6260687 x 10^-34 kg-m^2/s)
[(6.6723641 x 10^-11 m^3/kg-s^2)(8.2089591 x 10^95 kg/m^3)]^1/2
4.9038802 x 10^9 kg-m^2/s^2 = 4.9038802 x 10^9 kg-m^2/s^2
[rsu 3.9 x 10^-8]

G=c^3/mv
6.6723641 x 10^-11 m^3/kg-s^2 = (2.6944002 x 10^25 m^3/s^3)/
(5.4563026 x 10^-8 kg)(7.4008894 x 10^42 /s)
6.6723641 x 10^-11 m^3/kg-s^2 = 6.6723641 x 10^-11 m^3/kg-s^2
[rsu 3.9 x 10^-8]

G =wc^4/E
6.6723641 x 10^-11 m^3/kg-s^2 = (4.0507625 x 10^-35 m)
(8.0776087 x 10^33 m^4/s^4)/(4.9038802 x 10^9 kg-m^2/s^2)
6.6723641 x 10^-11 m^3/kg-s^2 = 6.6723641 x 10^-11 m^3/kg-s^2
[rsu 3.9 x 10^-8]

G=c^4/F
6.6723641 x 10^-11 m^3/kg-s^2 = (8.0776087 x 10^33 m^4/s^4)/
(1.2106066 x 10^44 kg-m/s^2)
6.6723641 x 10^-11 m^3/kg-s^2 = 6.6723641 x 10^-11 m^3/kg-s^2
[rsu 3.9 x 10^-8]

I seem to recall a thermodynamic physics constant with a exponent 5 in its Units. I even recall someone like John Baez under his various pseudo names remark about this thermodynamic constant.

I have wasted a day in search. So now asking for anyone to cough up this constant.

It is the Stefan Boltzmann constant

2(pi)^5 which is removed with h-bar in denominator.

Leaving K^4 as highest exponent