Recognised as Number
-1,440
- Negative
- Even
- 4 digits
-1,440 is an even 4-digit integer and the negative of 1,440. It has 36 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,440
Digit count4
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
Factors & divisors
Prime factorisation−1 × 2^5 × 3^2 × 5
Distinct prime factors32, 3, 5
Number of divisors36
Sum of divisors σ(n)4,914
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1,44036 in total
Arithmetic
Representations
Decimal-1,440
Binary1011010000011 bits
Octal2640
Hexadecimal5A0
Base 36140
In wordsminus one thousand, four hundred and forty
Ordinalminus one thousand, four hundred and fortieth
Scientific notation-1.44 × 10^3
Engineering notation-1.44 × 10^3
In other bases
Ternary1222100base 3; the most digit-efficient integer base after e — 7 digits
Quinary21230base 5; one hand — 5 digits
Septenary4125base 7 — 4 digits
Nonary1870base 9; each digit is two ternary digits — 4 digits
Duodecimala00base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal3c0base 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal24:0base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternaryT1001T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110100000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101001100000
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 55 trailing zeros
Power of twoNo
Bytes205 a0
Gray code11101110000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101001100000two's complement
32-bit11111111111111111111101001100000two's complement
64-bit1111111111111111111111111111111111111111111111111111101001100000two's complement
One's complement0000010110011111at 16 bits, every bit flipped
Bits reversed0000011001011111at 16 bits
Rotated left by 11111010011000001at 16 bits, wrapping
Shifted left by 1-101101000000= -2,880, no wrap
Shifted right by 1-1011010000= -720, discarding the low bit
These bits as a double7.1145453 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,440 to the power 22,073,600
-1,440 to the power 3-2,985,984,000
-1,440 to the power 44,299,816,960,000
-1,440 to the power 5-6,191,736,422,400,000
First ten multiples-1,440, -2,880, -4,320, -5,760, -7,200, -8,640, -10,080, -11,520, -12,960, -14,400
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 10
Divisible by 12Yes
Divisible by 100No, remainder 40
As a percentage & fraction
As a percentage-144,000%
-1,440% as a decimal-14.4
-1,440% of 100-1,440
-1,440% of 1,000-14,400
As a fraction of 100-1,440/100
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