Recognised as Number
-4,142
- Negative
- Even
- 4 digits
-4,142 is an even 4-digit integer and the negative of 4,142. It has 8 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value4,142
Digit count4
Digit sum11
Digit product32
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 19 × 109
Distinct prime factors32, 19, 109
Number of divisors8
Sum of divisors σ(n)6,600
SquarefreeYesno repeated prime factor
All divisors1, 2, 19, 38, 109, 218, 2,071, 4,1428 in total
Arithmetic
Previous number-4,143
Next number-4,141
Double-8,284
Half-2,071
Square17,156,164
Cube-71,060,831,288
Cube root-16.059673002≈
Negation4,142
Reciprocal-0.0002414293≈
Representations
Decimal-4,142
Binary100000010111013 bits
Octal10056
Hexadecimal102E
Base 36372
In wordsminus four thousand, one hundred and forty-two
Ordinalminus four thousand, one hundred and forty-second
Scientific notation-4.142 × 10^3
Engineering notation-4.142 × 10^3
In other bases
Ternary12200102base 3; the most digit-efficient integer base after e: 8 digits
Quinary113032base 5; one hand: 6 digits
Septenary15035base 7: 5 digits
Nonary5612base 9; each digit is two ternary digits: 4 digits
Duodecimal2492base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimala72base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:9:2base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10100TT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11000011010110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110111111010010
Bit length13 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits8within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes210 2e
Gray code1100000111001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1110111111010010two's complement
32-bit11111111111111111110111111010010two's complement
64-bit1111111111111111111111111111111111111111111111111110111111010010two's complement
One's complement0001000000101101at 16 bits, every bit flipped
Bits reversed0100101111110111at 16 bits
Rotated left by 11101111110100101at 16 bits, wrapping
Shifted left by 1-10000001011100= -8,284, no wrap
Shifted right by 1-100000010111= -2,071, discarding the low bit
These bits as a double2.04641991 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-4,142 to the power 217,156,164
-4,142 to the power 3-71,060,831,288
-4,142 to the power 4294,333,963,194,896
-4,142 to the power 5-1,219,131,275,553,259,232
First ten multiples-4,142, -8,284, -12,426, -16,568, -20,710, -24,852, -28,994, -33,136, -37,278, -41,420
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 2
Divisible by 10No, remainder 2
Divisible by 11No, remainder 6
Divisible by 12No, remainder 2
Divisible by 100No, remainder 42
As a percentage & fraction
As a percentage-414,200%
-4,142% as a decimal-41.42
-4,142% of 100-4,142
-4,142% of 1,000-41,420
As a fraction of 100-4,142/100
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