Recognised as Number
-148
- Negative
- Even
- 3 digits
-148 is an even 3-digit integer and the negative of 148. It has 6 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value148
Digit count3
Digit sum13
Digit product32
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 37
Distinct prime factors22, 37
Number of divisors6
Sum of divisors σ(n)266
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 37, 74, 1486 in total
Arithmetic
Representations
Decimal-148
Binary100101008 bits
Octal224
Hexadecimal94
Base 3644
In wordsminus one hundred and forty-eight
Ordinalminus one hundred and forty-eighth
Scientific notation-1.48 × 10^2
Engineering notation-148
In other bases
Ternary12111base 3; the most digit-efficient integer base after e: 5 digits
Quinary1043base 5; one hand: 4 digits
Septenary301base 7: 3 digits
Nonary174base 9; each digit is two ternary digits: 3 digits
Duodecimal104base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal78base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal2:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT11TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111101101100
Bit length8 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits5within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 7worth 128
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes194
Gray code11011110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111101101100two's complement
32-bit11111111111111111111111101101100two's complement
64-bit1111111111111111111111111111111111111111111111111111111101101100two's complement
One's complement0000000010010011at 16 bits, every bit flipped
Bits reversed0011011011111111at 16 bits
Rotated left by 11111111011011001at 16 bits, wrapping
Shifted left by 1-100101000= -296, no wrap
Shifted right by 1-1001010= -74, discarding the low bit
These bits as a double7.31217156 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-148 to the power 221,904
-148 to the power 3-3,241,792
-148 to the power 4479,785,216
-148 to the power 5-71,008,211,968
First ten multiples-148, -296, -444, -592, -740, -888, -1,036, -1,184, -1,332, -1,480
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10No, remainder 8
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48
As a percentage & fraction
As a percentage-14,800%
-148% as a decimal-1.48
-148% of 100-148
-148% of 1,000-1,480
As a fraction of 100-148/100
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