Nerdulator> put something in

Dice notation

40d12

  • 40d12
  • 40 to 480
  • mean 260
  • mode 260

Rolling 40d12 gives a total between 40 and 480, with a mean of 260 and a standard deviation of 21.8327. There are 14,697,715,679,690,864,505,827,555,550,150,426,126,974,976 equally likely ordered outcomes, and the most likely total is 260 at 1.82%.

The canonical address for this page is /40d12.

The roll

Notation40d12
Dice40
Faces per die12
Minimum total40all 40 dice showing 1
Maximum total480all 40 dice showing 12
Distinct totals441
Mean260n(f + 1)/2 + modifier, exact
Variance476.66666667n(f² − 1)/12, exact
Standard deviation21.83269719≈

Counting the outcomes

Ordered outcomes14,697,715,679,690,864,505,827,555,550,150,426,126,974,97612^40, every die distinguishable
Most likely total260
Chance of that total1.820309%≈
Ways to roll it267,543,911,016,137,827,313,837,789,606,880,393,415,984exact count
Chance of the minimum6.80377837 × 10^-42%≈1 in 14,697,715,679,690,864,505,827,555,550,150,426,126,974,976
Chance of the maximum6.80377837 × 10^-42%≈1 in 14,697,715,679,690,864,505,827,555,550,150,426,126,974,976

Shape of the distribution

441 distinct totals, too many to list individually.

1st percentile209≈1.016% of rolls are this or lower
5th percentile224≈5.204% of rolls are this or lower
25th percentile245≈25.397% of rolls are this or lower
50th percentile260≈50.91% of rolls are this or lower
75th percentile275≈76.045% of rolls are this or lower
95th percentile296≈95.269% of rolls are this or lower
99th percentile311≈99.103% of rolls are this or lower

Chance of rolling at least

84100%≈
150100%≈
26050.9102%≈
3700%≈
4361.03189607 × 10^-17%≈

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

The same dice, different counts

The same count, different dice

Also reads as

#040D12 (colour)

  • #040D12
  • Blue
  • Dark
  • Nearest: Black

#040D12 is a blue with RGB values 4, 13, 18 and HSL 201°, 64%, 4%. It is a dark colour, so white text on it reaches 19.6:1 contrast (AAA for normal text). The nearest named colour is Black.

Open this reading on its own page →

Colour values

#040D12#040D12
HEX#040D12
RGBrgb(4, 13, 18)
RGB (0–1)0.0157, 0.051, 0.0706
RGB percentages1.6%, 5.1%, 7.1%
HSLhsl(201.4, 63.6%, 4.3%)
HSV / HSBhsv(201.4, 77.8%, 7.1%)
CMYK77.8%, 27.8%, 0%, 92.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer265,490
CSS custom property--colour: #040D12;

Brightness & contrast

Relative luminance0.00357WCAG 2.x, 0 is black and 1 is white
Perceived brightness11.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.6:1
Contrast with white19.6:1WCAG normal text: AAA
Contrast with black1.07:1WCAG normal text: Fail
Greyscale equivalent#0B0B0B
Inverted#FBF2ED

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0A0D12no red cones; affects about 1% of men; ΔE 1.7 from the original
Deuteranopia#080B12no green cones; the most common form, about 1% of men; ΔE 2 from the original
Tritanopia#000E0Fno blue cones; rare, and affects men and women equally; ΔE 2.6 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.6:1WCAG large text: AAA
Contrast with black, large text1.07:1WCAG large text: Fail

Named colours

Black · ΔE 4.9Dark slate grey · ΔE 29.8Dim grey · ΔE 41.4Slate grey · ΔE 50.1Gray · ΔE 50.5Teal · ΔE 52.9
Nearest named CSS colourBlack (#000000)ΔE 4.9, a close match
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#120904
Analogous#041210, #040612
Triadic#12040D, #0D1204
Split complementary#120406, #121004
Tetradic#100412, #120904, #061204

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#2986B9
Lighter +30%#20678F
Lighter +20%#174965
Lighter +10%#0D2B3C
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#010E15
Less saturated −25%#070C0F

Channel breakdown

R4
G13
B18
Red4 (1.6%)
Green13 (5.1%)
Blue18 (7.1%)
Hue201.43°
Saturation (HSL)63.64%
Lightness4.31%
Dominant channelBlue
Hex per channelR 04 · G 0D · B 12

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Nerdulate something else

Nothing in mind? Surprise me · today’s page

Every value on this page was computed from “040d12” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /40d12.