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Recognised as Dice notation

13d40

  • 13d40
  • 13 to 520
  • mean 266.5

Rolling 13d40 gives a total between 13 and 520, with a mean of 266.5 and a standard deviation of 41.6203. There are 671,088,640,000,000,000,000 equally likely ordered outcomes, and the most likely total is 266 or 267 at 0.947%.

The canonical address for this page is /13d40.

The roll

Notation13d40
Dice13
Faces per die40
Minimum total13all 13 dice showing 1
Maximum total520all 13 dice showing 40
Distinct totals508
Mean266.5n(f + 1)/2 + modifier, exact
Variance1,732.25n(f² − 1)/12, exact
Standard deviation41.62030754≈

Counting the outcomes

Ordered outcomes671,088,640,000,000,000,00040^13, every die distinguishable
Most likely total266 and 267two totals share the peak
Chance of that total0.947328%≈
Ways to roll it6,357,407,883,473,025,600exact count
Chance of the minimum1.49011612 × 10^-19%≈1 in 671,088,640,000,000,000,000
Chance of the maximum1.49011612 × 10^-19%≈1 in 671,088,640,000,000,000,000

Shape of the distribution

508 distinct totals, too many to list individually.

1st percentile171≈1.062% of rolls are this or lower
5th percentile198≈5.138% of rolls are this or lower
25th percentile238≈25.268% of rolls are this or lower
50th percentile267≈50.947% of rolls are this or lower
75th percentile295≈75.489% of rolls are this or lower
95th percentile335≈95.116% of rolls are this or lower
99th percentile362≈99.007% of rolls are this or lower

Chance of rolling at least

64100%≈
14099.9149%≈
26750%≈
3930.0932%≈
4690%≈

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The same dice, different counts

The same count, different dice

Also reads as

#013D40 (colour)

  • #013D40
  • Cyan
  • Dark
  • Nearest: Dark slate grey

#013D40 is a cyan with RGB values 1, 61, 64 and HSL 183°, 97%, 13%. It is a dark colour, so white text on it reaches 12:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#013D40#013D40
HEX#013D40
RGBrgb(1, 61, 64)
RGB (0–1)0.0039, 0.2392, 0.251
RGB percentages0.4%, 23.9%, 25.1%
HSLhsl(182.9, 96.9%, 12.7%)
HSV / HSBhsv(182.9, 98.4%, 25.1%)
CMYK98.4%, 4.7%, 0%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer81,216
CSS custom property--colour: #013D40;

Brightness & contrast

Relative luminance0.03714WCAG 2.x, 0 is black and 1 is white
Perceived brightness51.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.05:1
Contrast with white12.05:1WCAG normal text: AAA
Contrast with black1.74:1WCAG normal text: Fail
Greyscale equivalent#303030
Inverted#FEC2BF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#373A40no red cones; affects about 1% of men; ΔE 16.6 from the original
Deuteranopia#2F3440no green cones; the most common form, about 1% of men; ΔE 17.2 from the original
Tritanopia#00403Eno blue cones; rare, and affects men and women equally; ΔE 4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.05:1WCAG large text: AAA
Contrast with black, large text1.74:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 10.1Dim grey · ΔE 27.9Teal · ΔE 28.6Black · ΔE 28.6Dark cyan · ΔE 33Slate grey · ΔE 33.4
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 10.09, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#400401
Analogous#014024, #011D40
Triadic#40013D, #3D4001
Split complementary#40011D, #402301
Tetradic#240140, #400401, #1E4001

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#12F0FB
Lighter +30%#03CDD7
Lighter +20%#039DA4
Lighter +10%#026D72
Darker −10%#000D0E
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#003E41
Less saturated −25%#093638

Channel breakdown

R1
G61
B64
Red1 (0.4%)
Green61 (23.9%)
Blue64 (25.1%)
Hue182.86°
Saturation (HSL)96.92%
Lightness12.75%
Dominant channelBlue
Hex per channelR 01 · G 3D · B 40

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Every value on this page was computed from “013d40” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.