Recognised as Number
-145
- Negative
- Odd
- 3 digits
-145 is an odd 3-digit integer and the negative of 145. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value145
Digit count3
Digit sum10
Digit product20
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 5 × 29
Distinct prime factors25, 29
Number of divisors4
Sum of divisors σ(n)180
SquarefreeYesno repeated prime factor
All divisors1, 5, 29, 1454 in total
Arithmetic
Representations
Decimal-145
Binary100100018 bits
Octal221
Hexadecimal91
Base 3641
In wordsminus one hundred and forty-five
Ordinalminus one hundred and forty-fifth
Scientific notation-1.45 × 10^2
Engineering notation-145
In other bases
Ternary12101base 3; the most digit-efficient integer base after e — 5 digits
Quinary1040base 5; one hand — 4 digits
Septenary265base 7 — 3 digits
Nonary171base 9; each digit is two ternary digits — 3 digits
Duodecimal101base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal75base 20; hands and feet, and the Mayan and Yoruba systems — 2 digits
Sexagesimal2:25base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternaryT11T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111101101111
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 odd
Highest set bitbit 7worth 128
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes191
Gray code11011001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111101101111two's complement
32-bit11111111111111111111111101101111two's complement
64-bit1111111111111111111111111111111111111111111111111111111101101111two's complement
One's complement0000000010010000at 16 bits, every bit flipped
Bits reversed1111011011111111at 16 bits
Rotated left by 11111111011011111at 16 bits, wrapping
Shifted left by 1-100100010= -290, no wrap
Shifted right by 1-1001001= -72, discarding the low bit
These bits as a double7.16395186 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-145 to the power 221,025
-145 to the power 3-3,048,625
-145 to the power 4442,050,625
-145 to the power 5-64,097,340,625
First ten multiples-145, -290, -435, -580, -725, -870, -1,015, -1,160, -1,305, -1,450
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5Yes
Divisible by 6No, remainder 1
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 1
Divisible by 10No, remainder 5
Divisible by 11No, remainder 2
Divisible by 12No, remainder 1
Divisible by 100No, remainder 45
As a percentage & fraction
As a percentage-14,500%
-145% as a decimal-1.45
-145% of 100-145
-145% of 1,000-1,450
As a fraction of 100-145/100
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