Recognised as Number
400,140
- Positive
- Even
- Composite
- 6 digits
400,140 is an even 6-digit integer and a composite number. It has 120 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value400,140
Digit count6
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3^4 × 5 × 13 × 19
Distinct prime factors52, 3, 5, 13, 19
Number of divisors120
Sum of divisors σ(n)1,422,960
Aliquot sum1,022,820sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)93,312integers below n that share no factor with it
Carmichael function λ(n)108the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 93,312
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 19, 20, 26, 27, 30, 36, 38, 39, 45, 52, 54, 57, 60, 65, 76, 78, 81, 90, 95, 108, 114, 117, 130, 135, 156, 162, 171, 180, 190, 195, 228, 234, 247, 260, 270, 285, 324, 342, 351, 380, 390, 405, 468, 494, 513, 540, 570, 585, 684, 702, 741, 780, 810, 855, 988, 1,026, 1,053, 1,140, 1,170, 1,235, 1,404, 1,482, 1,539, 1,620, 1,710, 1,755, 2,052, 2,106, 2,223, 2,340, 2,470, 2,565, 2,964, 3,078, 3,420, 3,510, 3,705, 4,212, 4,446, 4,940, 5,130, 5,265, 6,156, 6,669, 7,020, 7,410, 7,695, 8,892, 10,260, 10,530, 11,115, 13,338, 14,820, 15,390, 20,007, 21,060, 22,230, 26,676, 30,780, 33,345, 40,014, 44,460, 66,690, 80,028, 100,035, 133,380, 200,070, 400,140120 in total
Arithmetic
Representations
Decimal400,140
Binary110000110110000110019 bits
Octal1415414
Hexadecimal61B0C
Base 368KR0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand, one hundred and forty
Ordinalfour hundred thousand, one hundred and fortieth
Scientific notation4.0014 × 10^5
Engineering notation400.14 × 10^3
In other bases
Ternary202022220000base 3; the most digit-efficient integer base after e: 12 digits
Quinary100301030base 5; one hand: 9 digits
Septenary3254406base 7: 7 digits
Nonary668800base 9; each digit is two ternary digits: 6 digits
Duodecimal173690base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a070base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:9:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T1000T0000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110111100011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001101100001100
Bit length19 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits11within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes306 1b 0c
Gray code1010001011010001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001101100001100
64-bit0000000000000000000000000000000000000000000001100001101100001100
One's complement11111111111110011110010011110011at 32 bits, every bit flipped
Bits reversed00110000110110000110000000000000at 32 bits
Rotated left by 100000000000011000011011000011000at 32 bits, wrapping
Shifted left by 111000011011000011000= 800,280, no wrap
Shifted right by 1110000110110000110= 200,070, discarding the low bit
These bits as a double1.97695428 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,140 to the power 2160,112,019,600
400,140 to the power 364,067,223,522,744,000
400,140 to the power 425,635,858,820,390,784,160,000
400,140 to the power 510,257,932,548,391,168,373,782,400,000
First ten multiples400,140, 800,280, 1,200,420, 1,600,560, 2,000,700, 2,400,840, 2,800,980, 3,201,120, 3,601,260, 4,001,400
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 40
Collatz (3n + 1) trajectory
Steps to reach 191the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,140 → 200,070 → 100,035 → 300,106 → 150,053 → 450,160 → 225,080 → 112,540 → 56,270 → 28,135 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,014,000%
400,140% as a decimal4,001.4
400,140% of 100400,140
400,140% of 1,0004,001,400
As a fraction of 100400,140/100
Read another way
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Derived from 400,140
Also reads as
#400140 (colour)
- #400140
- Magenta
- Dark
- Nearest: Midnight blue
#400140 is a magenta with RGB values 64, 1, 64 and HSL 300°, 97%, 13%. It is a dark colour, so white text on it reaches 16.2:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#400140#400140
HEX#400140
RGBrgb(64, 1, 64)
RGB (0–1)0.251, 0.0039, 0.251
RGB percentages25.1%, 0.4%, 25.1%
HSLhsl(300, 96.9%, 12.7%)
HSV / HSBhsv(300, 98.4%, 25.1%)
CMYK0%, 98.4%, 0%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,194,624
CSS custom property--colour: #400140;
Brightness & contrast
Relative luminance0.01482WCAG 2.x, 0 is black and 1 is white
Perceived brightness41.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.2:1
Contrast with white16.2:1WCAG normal text: AAA
Contrast with black1.3:1WCAG normal text: Fail
Greyscale equivalent#131313
Inverted#BFFEBF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.2:1WCAG large text: AAA
Contrast with black, large text1.3:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#014001
Analogous#210140, #400121
Triadic#404001, #014040
Split complementary#214001, #014021
Tetradic#402101, #014001, #012140
Tints, shades & saturation
Channel breakdown
R64
G1
B64
Red64 (25.1%)
Green1 (0.4%)
Blue64 (25.1%)
Hue300°
Saturation (HSL)96.92%
Lightness12.75%
Dominant channelRed and Blue
Hex per channelR 40 · G 01 · B 40
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