Recognised as Number
-144
- Negative
- Even
- Perfect square
- 3 digits
-144 is an even 3-digit integer and the negative of 144. It has 15 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value144
Digit count3
Digit sum9
Digit product16
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 12²
Factors & divisors
Prime factorisation−1 × 2^4 × 3^2
Distinct prime factors22, 3
Number of divisors15
Sum of divisors σ(n)403
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 14415 in total
Arithmetic
Representations
Decimal-144
Binary100100008 bits
Octal220
Hexadecimal90
Base 3640
In wordsminus one hundred and forty-four
Ordinalminus one hundred and forty-fourth
Scientific notation-1.44 × 10^2
Engineering notation-144
In other bases
Ternary12100base 3; the most digit-efficient integer base after e: 5 digits
Quinary1034base 5; one hand: 4 digits
Septenary264base 7: 3 digits
Nonary170base 9; each digit is two ternary digits: 3 digits
Duodecimal100base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal74base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal2:24base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111101110000
Bit length8 bitsto write the magnitude
Set bits2the population count, or Hamming weight
Zero bits6within that length
Bit parityeven2 set bits, so even; not the same as the number itself being even
Highest set bitbit 7worth 128
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes190
Gray code11011000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111101110000two's complement
32-bit11111111111111111111111101110000two's complement
64-bit1111111111111111111111111111111111111111111111111111111101110000two's complement
One's complement0000000010001111at 16 bits, every bit flipped
Bits reversed0000111011111111at 16 bits
Rotated left by 11111111011100001at 16 bits, wrapping
Shifted left by 1-100100000= -288, no wrap
Shifted right by 1-1001000= -72, discarding the low bit
These bits as a double7.1145453 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-144 to the power 220,736
-144 to the power 3-2,985,984
-144 to the power 4429,981,696
-144 to the power 5-61,917,364,224
First ten multiples-144, -288, -432, -576, -720, -864, -1,008, -1,152, -1,296, -1,440
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10No, remainder 4
Divisible by 11No, remainder 1
Divisible by 12Yes
Divisible by 100No, remainder 44
As a percentage & fraction
As a percentage-14,400%
-144% as a decimal-1.44
-144% of 100-144
-144% of 1,000-1,440
As a fraction of 100-144/100
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