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Recognised as Dice notation

40d16

  • 40d16
  • 40 to 640
  • mean 340
  • mode 340

Rolling 40d16 gives a total between 40 and 640, with a mean of 340 and a standard deviation of 29.1548. There are 1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,976 equally likely ordered outcomes, and the most likely total is 340 at 1.363%.

The canonical address for this page is /40d16.

The roll

Notation40d16
Dice40
Faces per die16
Minimum total40all 40 dice showing 1
Maximum total640all 40 dice showing 16
Distinct totals601
Mean340n(f + 1)/2 + modifier, exact
Variance850n(f² − 1)/12, exact
Standard deviation29.15475947≈

Counting the outcomes

Ordered outcomes1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,97616^40, every die distinguishable
Most likely total340
Chance of that total1.36318%≈
Ways to roll it19,922,893,987,563,467,917,782,675,238,867,284,610,940,379,440exact count
Chance of the minimum6.84227766 × 10^-47%≈1 in 1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,976
Chance of the maximum6.84227766 × 10^-47%≈1 in 1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,976

Shape of the distribution

601 distinct totals, too many to list individually.

1st percentile272≈1.011% of rolls are this or lower
5th percentile292≈5.17% of rolls are this or lower
25th percentile320≈25.248% of rolls are this or lower
50th percentile340≈50.682% of rolls are this or lower
75th percentile360≈75.833% of rolls are this or lower
95th percentile388≈95.186% of rolls are this or lower
99th percentile408≈99.08% of rolls are this or lower

Chance of rolling at least

100100%≈
190100%≈
34050.6816%≈
4900%≈
5809.36373884 × 10^-19%≈

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The same dice, different counts

The same count, different dice

Also reads as

#040D16 (colour)

  • #040D16
  • Blue
  • Dark
  • Nearest: Black

#040D16 is a blue with RGB values 4, 13, 22 and HSL 210°, 69%, 5%. It is a dark colour, so white text on it reaches 19.5:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#040D16#040D16
HEX#040D16
RGBrgb(4, 13, 22)
RGB (0–1)0.0157, 0.051, 0.0863
RGB percentages1.6%, 5.1%, 8.6%
HSLhsl(210, 69.2%, 5.1%)
HSV / HSBhsv(210, 81.8%, 8.6%)
CMYK81.8%, 40.9%, 0%, 91.4%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer265,494
CSS custom property--colour: #040D16;

Brightness & contrast

Relative luminance0.00372WCAG 2.x, 0 is black and 1 is white
Perceived brightness12.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.55:1
Contrast with white19.55:1WCAG normal text: AAA
Contrast with black1.07:1WCAG normal text: Fail
Greyscale equivalent#0C0C0C
Inverted#FBF2E9

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#090D16no red cones; affects about 1% of men; ΔE 1.4 from the original
Deuteranopia#070B16no green cones; the most common form, about 1% of men; ΔE 1.7 from the original
Tritanopia#000F10no blue cones; rare, and affects men and women equally; ΔE 5.1 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.55:1WCAG large text: AAA
Contrast with black, large text1.07:1WCAG large text: Fail

Named colours

Black · ΔE 6.8Dark slate grey · ΔE 30.1Dim grey · ΔE 41.5Slate grey · ΔE 49.7Gray · ΔE 50.6Dark slateblue · ΔE 52.7
Nearest named CSS colourBlack (#000000)ΔE 6.76, clearly different but related
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#160D04
Analogous#041616, #040416
Triadic#16040D, #0D1604
Split complementary#160404, #161604
Tetradic#160416, #160D04, #041604

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#2373C3
Lighter +30%#1C5A97
Lighter +20%#14406C
Lighter +10%#0C2741
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#010D19
Less saturated −25%#070D13

Channel breakdown

R4
G13
B22
Red4 (1.6%)
Green13 (5.1%)
Blue22 (8.6%)
Hue210°
Saturation (HSL)69.23%
Lightness5.1%
Dominant channelBlue
Hex per channelR 04 · G 0D · B 16

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Every value on this page was computed from “040d16” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.