Dice notation

40d44

40d44
40 to 1760
mean 900
mode 900

Rolling 40d44 gives a total between 40 and 1,760, with a mean of 900 and a standard deviation of 80.3119. There are 547,150,826,329,050,817,707,232,047,731,001,563,323,399,357,039,042,635,859,624,984,576 equally likely ordered outcomes, and the most likely total is 900 at 0.495%.

The canonical address for this page is /40d44.

The roll

Notation40d44

Dice40

Faces per die44

Minimum total40all 40 dice showing 1

Maximum total1,760all 40 dice showing 44

Distinct totals1,721

Mean900n(f + 1)/2 + modifier, exact

Variance6,450n(f² − 1)/12, exact

Standard deviation80.31189202≈

Counting the outcomes

Ordered outcomes547,150,826,329,050,817,707,232,047,731,001,563,323,399,357,039,042,635,859,624,984,57644^40, every die distinguishable

Most likely total900

Chance of that total0.494873%≈

Ways to roll it2,707,701,738,437,979,579,017,977,058,932,833,931,454,208,811,340,333,326,546,709,776exact count

Chance of the minimum1.82764962 × 10^-64%≈1 in 547,150,826,329,050,817,707,232,047,731,001,563,323,399,357,039,042,635,859,624,984,576

Chance of the maximum1.82764962 × 10^-64%≈1 in 547,150,826,329,050,817,707,232,047,731,001,563,323,399,357,039,042,635,859,624,984,576

Shape of the distribution

1,721 distinct totals, too many to list individually.

1st percentile714≈1.026% of rolls are this or lower

5th percentile768≈5.085% of rolls are this or lower

25th percentile846≈25.334% of rolls are this or lower

50th percentile900≈50.247% of rolls are this or lower

75th percentile954≈75.062% of rolls are this or lower

95th percentile1,032≈95.045% of rolls are this or lower

99th percentile1,086≈99.008% of rolls are this or lower

Chance of rolling at least

212100%≈

470100%≈

90050.2474%≈

1,3300%≈

1,5884.96168072 × 10^-21%≈

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

#040D44 (colour)

#040D44
Blue
Dark
Nearest: Midnight blue

#040D44 is a blue with RGB values 4, 13, 68 and HSL 232°, 89%, 14%. It is a dark colour, so white text on it reaches 18.3:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#040D44#040D44

HEX#040D44

RGBrgb(4, 13, 68)

RGB (0–1)0.0157, 0.051, 0.2667

RGB percentages1.6%, 5.1%, 26.7%

HSLhsl(231.6, 88.9%, 14.1%)

HSV / HSBhsv(231.6, 94.1%, 26.7%)

CMYK94.1%, 80.9%, 0%, 73.3%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer265,540

CSS custom property--colour: #040D44;

Brightness & contrast

Relative luminance0.00731WCAG 2.x, 0 is black and 1 is white

Perceived brightness25.1 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 18.32:1

Contrast with white18.32:1WCAG normal text: AAA

Contrast with black1.15:1WCAG normal text: Fail

Greyscale equivalent#0F0F0F

Inverted#FBF2BB

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#001846no red cones; affects about 1% of men; ΔE 9.2 from the original

Deuteranopia#001143no green cones; the most common form, about 1% of men; ΔE 4.2 from the original

Tritanopia#001D27no blue cones; rare, and affects men and women equally; ΔE 36.9 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text18.32:1WCAG large text: AAA

Contrast with black, large text1.15:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 20.6 Dark slateblue · ΔE 25.9 Rebecca purple · ΔE 36.7 Indigo · ΔE 38.9 Navy · ΔE 40.7 Black · ΔE 41.1

Nearest named CSS colourMidnight blue (#191970)ΔE 20.65, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#443B04

Analogous#042D44, #1B0444

Triadic#44040D, #0D4404

Split complementary#441B04, #2D4404

Tetradic#44042D, #443B04, #04441B

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#223FF2

Lighter +30%#0D29D4

Lighter +20%#0A1FA4

Lighter +10%#071674

Darker −10%#010414

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#000A48

Less saturated −25%#0D133B

Channel breakdown

G13

B68

Red4 (1.6%)

Green13 (5.1%)

Blue68 (26.7%)

Hue231.56°

Saturation (HSL)88.89%

Lightness14.12%

Dominant channelBlue

Hex per channelR 04 · G 0D · B 44

Keep nerding

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

40d44

The roll

Counting the outcomes

Shape of the distribution

Chance of rolling at least

Keep nerding

The same dice, different counts

The same count, different dice

#040D44 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

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