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The hexadecimal quintillion equals 2 100, just like 2 - 100 is one hexadecimal quintillionth. |
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Long live the good old long scale of zillions !
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Hexadecimal
Zillion
| Decimal
Equivalence
| Name of the zillion number
| SMH
Prefix
| Exponentiation expression
| Decimal
Value
|
| Universal
| English
| Universal | English
|
B | QQQQQ | H
| B | QQQQQ | W
| B | QQQQQ | X
| B | QQQQQ | Y
| B | QQQQQ | K
| B | QQQQQ | G
| B | QQQQQ | C
| B | QQQQQ | J
| B | QQQQQ | T
| B | QQQQQ | D
| B | QQQQQ | S
|
|
1 048 576 16
1 048 576 15
1 048 576 14
1 048 576 13
1 048 576 12
1 048 576 11
1 048 576 10
1 048 576 9
1 048 576 8
1 048 576 7
1 048 576 6
|
|
sexdecillion
quindecillion
quatuordecillion
tredecillion
duodecillion
undecillion
decillion
nonillion
octillion
septillion
sextillion
|
|
mir-hi
mir-wi
mir-xi
mir-yi
mir-ki
mir-gi
mir-ci
mir-ji
mir-ti
mir-di
mir-si
|
million to the power of sixteen
million to the power of fifteen
million to the power of fourteen
million to the power of thirteen
million to the power of twelve
million to the power of eleven
million to the power of ten
million to the power of nine
million to the power of eight
million to the power of seven
million to the power of six
|
2.135 987 ื 10 96
| 2.037 036 ื 10 90
| 1.942 669 ื 10 84
| 1.852 673 ื 10 78
| 1.766 847 ื 10 72
| 1.684 997 ื 10 66
| 1.606 938 ื 10 60
| 1.532 496 ื 10 54
| 1.461 502 ื 10 48
| 1.393 796 ื 10 42
| 1.329 228 ื 10 36
|
|
|
| 1 048 576 5
| bi mu
| one quintillion
|
| mir-zi
| million to the power of five
| 1.267 651 ื 10 30
|
|
| 1 048 576 4
| bi
mo
|
one quadrillion
|
| mir-fi
| million to the power of four
| 1.208 926 ื 10 24
|
|
| 1 048 576 3
| bi
ma
|
one trillion
|
| mir-vi
| million to the power of three
| 1.152 922 ื 10 18
|
|
| 1 048 576 2
| bi
me
|
one billion
|
| mir-pi
| million to the power of two
| 1.099 015 ื 10 12
|
|
| 1 048 576 1
| bi
mi
|
one million
|
| mir-bi
| million to the power of one
| 1.048 576 ื 10 6
|
|
| 1 048 576
0
| bi
|
one
|
| mir-qi
| million to the power of zero
| 1.000 000 ื 10
0
|
|
| 1 048 576 -1
|
bi
mri
|
one millionth
|
|
mir-nbi
| million to the power of minus one
| 0.953 674 ื 10 -6
|
|
| 1 048 576 -2
|
bi
mre
|
one billionth
|
|
mir-npi
| million to the power of minus two
| 0.909 495 ื 10-12
|
|
| 1 048 576 -3
|
bi
mra
|
one trillionth
|
| mir-nvi
| million to the power of minus three
| 0.867 362 ื 10-18
|
|
| 1 048 576 -4
|
bi
mro
|
one quadrillionth
|
|
mir-nfi
| million to the power of minus four
| 0.827 181 ื 10-24
|
|
| 1 048 576 -5
|
bi
mru
|
one quintillionth
|
| mir-nzi
| million to the power of minus five
| 0.788 861 ื 10-30
|
B | QQQQQ | -S
| B | QQQQQ | -D
| B | QQQQQ | -T
| B | QQQQQ | -J
| B | QQQQQ | -C
| B | QQQQQ | -G
| B | QQQQQ | -K
| B | QQQQQ | -Y
| B | QQQQQ | -X
| B | QQQQQ | -W
| B | QQQQQ | -H |
|
1 048 576 -6
1 048 576 -7
1 048 576 -8
1 048 576 -9
1 048 576-10
1 048 576-11
1 048 576-12
1 048 576-13
1 048 576-14
1 048 576-15
1 048 576-16
|
|
sextillionth
septillionth
octillionth
nonillionth
decillionth
undecillionth
duodecillionth
tredecillionth
quatuordecillionth
quindecillionth
sexdecillionth
|
|
mir-nsi
mir-ndi
mir-nti
mir-nji
mir-nci
mir-ngi
mir-nki
mir-nyi
mir-nxi
mir-nwi
mir-nhi
|
million to the power of minus six
million to the power of minus seven
million to the power of minus eight
million to the power of minus nine
million to the power of minus ten
million to the power of minus eleven
million to the power of minus twelve
million to the power of minus thirteen
million to the power of minus fourteen
million to the power of minus fifteen
million to the power of minus sixteen
|
0.752 316 ื 10-36
| 0.717 465 ื 10-42
| 0.604 228 ื 10-48
| 0.652 530 ื 10-54
| 0.622 302 ื 10-60
| 0.593 473 ื 10-66
| 0.565 980 ื 10-72
| 0.539 761 ื 10-78
| 0.514 756 ื 10-84
| 0.490 909 ื 10-90
| 0.468 168 ื 10-96 |
|
Example : The exponentiation expression bi mir-bebi means one million to the power of seventeen : B ื M BB = 1, 048 576 17 = 2.24 ื 1, 000 000 17 = 2.24 ื 10 102 .
The decimal googol (= 10100) is BPFC ื M H : Almost, one thousand two hundred forty-ten hexadecimal sexdecillion.
1616 equals BQ ื M V : Onety hexadecimal trillion different integers can be encoded on 64-bits. That is Sissa's number.
Example :
| Nicolas Chuquet's example number :
| 745 324, 804 300, 700 023, 654 321
| = 745 324 trillion, 804 300 billion, 700 023 million, 654 321 units.
|
| Hexadecimal, with IBM digits :
| 0x 9DD42, 37B63, 6E67B, 207B1
|
|
| Hexadecimal, with omni-literal digits :
| JYYFP, VDGSV, SXSDG, PQDGB
|
|
|
Juyoyafepi ma,
vudogasevi me,
suxosadegi mi,
pu(qo)dagebi.
| Enunciated as universal hexadecimal numerals.
|
|
Ninety-thirteen thousand, thirteen hundred, forty-two trillion,
thirty-seven thousand, eleven hundred, sixty-three billion,
sixty-fourteen thousand, six hundred, seventy-eleven million,
twonety thousand, seven hundred, eleventy-one.
| Enunciated as English hexadecimal numerals.
|
Note : Obviously, by using the universal hexadecimal numerals, all consonants and all vowels must be pronounced by respecting the rules of the hexadecimal alphabet.
The hexadecimal googol (= 16 256), put for example as be mi mur-ci : BQ ื M ื (MZ) C = 1.798 ื 10 308 seems to be the last reasonable limit in numbering.
Caution : Don't confound the SMH unit symboles and the SHOL number names :
|
Multiples of the unit :
Value ื magnitude ื rank
|
|
Number names :
Digit ื decuple
|
| Multiple of Unit
| Symbol
| Power
| Name
| Value
| Power
|
The even magnitude zero and its five ranks in SMH :
| Names of the one-digit-base numbers :
|
| one hexa-i-unit
| B hiUnit
| 1024 0
ื
16
0
| 16 0
|
≠
| 16 1
| hi
| 16
| H ื
H
0
|
| one hexa-e-unit
| B heUnit
| 1024 0
ื
16
1
| 16 1
|
≠
| 16 2
| he
| 256
| H ื
H
1
|
| one hexa-a-unit
| B haUnit
| 1024 0
ื
16
2
| 16 2
|
≠
| 16 3
| ha
| 4096
| H ื
H
2
|
| one hexa-o-unit
| B hoUnit
| 1024 0
ื
16
3
| 16 3
|
≠
| 16 4
| ho
| 65 536
| H ื
H
3
|
| one hexa-u-unit
| B huUnit
| 1024 0
ื
16
4
| 16 4
|
≠
| 16 5
| hu
| 1,
048 576
| H ื
H
4
|
The even magnitude two and its five ranks in SMH :
|
| Names of SHOL superbase numbers :
|
| one mega-i-unit
| B MiUnit
| 1024 2
ื
16
0
| 16 5
|
=
| 16 5
| mi
| million
| M ื
M
0
|
| one mega-e-unit
| B MeUnit
| 1024 2
ื
16
1
| 16 6
|
≠
| 1610
| me
| billion
| M ื
M
1
|
| one mega-a-unit
| B MaUnit
| 1024 2
ื
16
2
| 16 7
|
≠
| 1615
| ma
| trillion
| M ื
M
2
|
| one mega-o-unit
| B MoUnit
| 1024 2
ื
16
3
| 16 8
|
≠
| 1620
| mo
| quadrillion
| M ื
M
3
|
| one mega-u-unit
| B MuUnit
| 1024 2
ื
16
4
| 16 9
|
≠
| 1625
| mu
| quintillion
| M ื
M
4
|
The even magnitudes two to ten in their rank zero :
|
| Idem :
|
| one mega-i-unit
| B MiUnit
|
1024
2
ื
16
0
| 16 5
|
=
| 16 5
| mi
| million
| M ื
M
0
|
| one tera-i-unit
| B TiUnit
|
1024
4
ื
16
0
| 1610
|
=
| 1610
| me
| billion
| M ื M 1
|
| one exa -i-unit
| B EiUnit
|
1024
6
ื
16
0
| 1615
|
=
| 1615
| ma
| trillion
| M ื
M
2
|
| one yotta-i-unit
| B YiUnit
|
1024
8
ื
16
0
| 1620
|
=
| 1620
| mo
| quadrillion
| M ื
M
3
|
| (one weka*-i-unit)
| (B WiUnit)
|
102410
ื
16
0
| 1625
|
=
| 1625
| mu
| quintillion
| M ื
M
4
|
|
In SMH, the multiples and submultiples of units have symbols.
These symbols are acronyms, to read in a specified manner. Since the prefix hexa expresses the magnitude zero, i.e. 10240,
hexa is unequal sixteen. Thus, also its rank zero equals one.
Item, the five ranks of mega are multiples to powers of sixteen.
The first rank is rank zero, sixteen power zero : Mega ื one. Conclusion :
Just like commonly the acronymic symbols of decimal SI are
enunciated in their full meaning, that is also effective with the
SMH units. Example : MHz is pronounced " megahertz ", so
MiHz is always said : " mega-i-Hertz ", never " mi Hertz ". Nor it is correct to pronounce symbols for units like milli-i-timple : " mit "
as a word ; since this makes no difference between milli-i- and mega-i.
|
|
In SHOL, self-evident, there are 16 number-digits :
B to W and Q.
Only two other letters are auxiliary digits :
H
| as one-digit-base
| =
| BQ
| =
| 16
|
|
M
|
is the superbase
| =
| B,QQQQQ
| =
| 1, 048 576
|
The universal number names
are all in the same pattern :
7 = 7 ื 16 0 = D ื H Q : di
64 = 4 ื 16 1 = F ื H B : fe
1024 = 4 ื 16 2 = F ื H P : fa
4096 = 16 ื 16 2 = H ื H P : ha
1024 4 = M ื M 1 = M ื M B : me |
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* " weka " is not BIPM-official. However : According to an existent proposal : 1000 10 is " W + deka = weka ", after 1000 9, " X + nona = xona ".[1]
BI-SMH now recognises these two proposals of Jim Blowers, like " xonto " and " wekto " ( 1000- 9 and 1000 -10 ) . All extentions above are reject .
|
|
The both auxiliary digits, H & M, are used in the both variants of the hexadecimal exponential notation.
Example :
7.256 ื 10 6 = S.xgt ื H Z = S.xgt ื M B
Decimal : seven point two five six, ten to the sixth power
equals hexadecimal : six point fourteen eleven eight, sixteen to the fifth power.
Naturally, sixteen to the fifth power is a (hexadecimal) million to its first power.
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[1] If in Greek language nine is doubtless εννέα, enn้a, there is an existent tradition in science to prefer exceptionally the latin prefix nona.
So for example, IUPAC decided in 1957, to use always " nona- " instead of " enn้a- ". See : nonane and nonanol. (No "very correct" enn้ane).
| This page is online since 2006, September 17 ;
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