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Recognised as Dice notation

40d21

  • 40d21
  • 40 to 840
  • mean 440
  • mode 440

Rolling 40d21 gives a total between 40 and 840, with a mean of 440 and a standard deviation of 38.2971. There are 77,405,494,483,928,356,601,681,434,130,536,198,019,976,749,447,352,801 equally likely ordered outcomes, and the most likely total is 440 at 1.038%.

The canonical address for this page is /40d21.

The roll

Notation40d21
Dice40
Faces per die21
Minimum total40all 40 dice showing 1
Maximum total840all 40 dice showing 21
Distinct totals801
Mean440n(f + 1)/2 + modifier, exact
Variance1,466.66666667n(f² − 1)/12, exact
Standard deviation38.29708431≈

Counting the outcomes

Ordered outcomes77,405,494,483,928,356,601,681,434,130,536,198,019,976,749,447,352,80121^40, every die distinguishable
Most likely total440
Chance of that total1.037773%≈
Ways to roll it803,293,043,405,917,568,056,763,142,989,011,372,930,899,421,982,173exact count
Chance of the minimum1.29189795 × 10^-51%≈1 in 77,405,494,483,928,356,601,681,434,130,536,198,019,976,749,447,352,801
Chance of the maximum1.29189795 × 10^-51%≈1 in 77,405,494,483,928,356,601,681,434,130,536,198,019,976,749,447,352,801

Shape of the distribution

801 distinct totals, too many to list individually.

1st percentile351≈1.023% of rolls are this or lower
5th percentile377≈5.141% of rolls are this or lower
25th percentile414≈25.343% of rolls are this or lower
50th percentile440≈50.519% of rolls are this or lower
75th percentile466≈75.483% of rolls are this or lower
95th percentile503≈95.13% of rolls are this or lower
99th percentile529≈99.047% of rolls are this or lower

Chance of rolling at least

120100%≈
240100%≈
44050.5189%≈
6400%≈
7601.47569575 × 10^-19%≈

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The same dice, different counts

The same count, different dice

Also reads as

#040D21 (colour)

  • #040D21
  • Blue
  • Dark
  • Nearest: Black

#040D21 is a blue with RGB values 4, 13, 33 and HSL 221°, 78%, 7%. It is a dark colour, so white text on it reaches 19.4:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#040D21#040D21
HEX#040D21
RGBrgb(4, 13, 33)
RGB (0–1)0.0157, 0.051, 0.1294
RGB percentages1.6%, 5.1%, 12.9%
HSLhsl(221.4, 78.4%, 7.3%)
HSV / HSBhsv(221.4, 87.9%, 12.9%)
CMYK87.9%, 60.6%, 0%, 87.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer265,505
CSS custom property--colour: #040D21;

Brightness & contrast

Relative luminance0.00423WCAG 2.x, 0 is black and 1 is white
Perceived brightness15.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.36:1
Contrast with white19.36:1WCAG normal text: AAA
Contrast with black1.08:1WCAG normal text: Fail
Greyscale equivalent#0D0D0D
Inverted#FBF2DE

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#040F22no red cones; affects about 1% of men; ΔE 0.8 from the original
Deuteranopia#010C21no green cones; the most common form, about 1% of men; ΔE 0.8 from the original
Tritanopia#001215no blue cones; rare, and affects men and women equally; ΔE 12.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.36:1WCAG large text: AAA
Contrast with black, large text1.08:1WCAG large text: Fail

Named colours

Black · ΔE 14.5Dark slate grey · ΔE 32.6Dim grey · ΔE 42.9Dark slateblue · ΔE 45.6Midnight blue · ΔE 47.7Slate grey · ΔE 49.4
Nearest named CSS colourBlack (#000000)ΔE 14.49, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#211804
Analogous#041C21, #090421
Triadic#21040D, #0D2104
Split complementary#210904, #1C2104
Tetradic#21041C, #211804, #042109

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#1A55D7
Lighter +30%#1543A9
Lighter +20%#0F317C
Lighter +10%#0A1F4E
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#000B25
Less saturated −25%#090F1C

Channel breakdown

R4
G13
B33
Red4 (1.6%)
Green13 (5.1%)
Blue33 (12.9%)
Hue221.38°
Saturation (HSL)78.38%
Lightness7.25%
Dominant channelBlue
Hex per channelR 04 · G 0D · B 21

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Every value on this page was computed from “040d21” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.