Recognised as Number
-42,129
- Negative
- Odd
- 5 digits
-42,129 is an odd 5-digit integer and the negative of 42,129. It has 12 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value42,129
Digit count5
Digit sum18
Digit product144
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3^2 × 31 × 151
Distinct prime factors33, 31, 151
Number of divisors12
Sum of divisors σ(n)63,232
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 31, 93, 151, 279, 453, 1,359, 4,681, 14,043, 42,12912 in total
Arithmetic
Representations
Decimal-42,129
Binary101001001001000116 bits
Octal122221
HexadecimalA491
Base 36WI9
In wordsminus forty-two thousand, one hundred and twenty-nine
Ordinalminus forty-two thousand, one hundred and twenty-ninth
Scientific notation-4.2129 × 10^4
Engineering notation-42.129 × 10^3
In other bases
Ternary2010210100base 3; the most digit-efficient integer base after e: 10 digits
Quinary2322004base 5; one hand: 7 digits
Septenary233553base 7: 6 digits
Nonary63710base 9; each digit is two ternary digits: 5 digits
Duodecimal20469base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal5569base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal11:42:9base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10TT1T0T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010110010110011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110101101101101111
Bit length16 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits10within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 15worth 32,768
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes2a4 91
Gray code1111011011011001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110101101101101111two's complement
64-bit1111111111111111111111111111111111111111111111110101101101101111two's complement
One's complement00000000000000001010010010010000at 32 bits, every bit flipped
Bits reversed11110110110110101111111111111111at 32 bits
Rotated left by 111111111111111101011011011011111at 32 bits, wrapping
Shifted left by 1-10100100100100010= -84,258, no wrap
Shifted right by 1-101001001001001= -21,064, discarding the low bit
These bits as a double2.08144916 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-42,129 to the power 21,774,852,641
-42,129 to the power 3-74,772,766,912,689
-42,129 to the power 43,150,101,897,264,674,881
-42,129 to the power 5-132,710,642,829,863,488,061,649
First ten multiples-42,129, -84,258, -126,387, -168,516, -210,645, -252,774, -294,903, -337,032, -379,161, -421,290
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 9
Divisible by 11No, remainder 10
Divisible by 12No, remainder 9
Divisible by 100No, remainder 29
As a percentage & fraction
As a percentage-4,212,900%
-42,129% as a decimal-421.29
-42,129% of 100-42,129
-42,129% of 1,000-421,290
As a fraction of 100-42,129/100
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