Recognised as Number
-1,300,000,000,000,000,001
- Negative
- Odd
- 19 digits
-1,300,000,000,000,000,001 is an odd 19-digit integer and the negative of 1,300,000,000,000,000,001. It has 4 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,300,000,000,000,000,001
Digit count19
Digit sum5
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 26,237 × 49,548,347,753,173
Distinct prime factors226,237, 49,548,347,753,173
Number of divisors4
Sum of divisors σ(n)1,300,049,548,347,779,412
SquarefreeYesno repeated prime factor
All divisors1, 26,237, 49,548,347,753,173, 1,300,000,000,000,000,0014 in total
Arithmetic
Previous number-1,300,000,000,000,000,002
Next number-1,300,000,000,000,000,000
Square1,690,000,000,000,000,002,600,000,000,000,000,001
Cube-2,197,000,000,000,000,005,070,000,000,000,000,003,900,000,000,000,000,001
Cube root1,091,392≈
Negation1,300,000,000,000,000,001
Representations
Decimal-1,300,000,000,000,000,001
Binary100100000101010000111000111001100000000000010000000000000000161 bits
Octal110124161630000400001
Hexadecimal120A871CC0020001
Base 369VKBJFEANYF5
In wordsminus one quintillion, three hundred quadrillion and one
Ordinalminus one quintillion, three hundred quadrillion and first
Engineering notation-1.3 × 10^18
In other bases
Ternary22122212000110000021020010121010012012base 3; the most digit-efficient integer base after e: 38 digits
Quinary41401122100000000000000001base 5; one hand: 26 digits
Septenary2220215532360144212213base 7: 22 digits
Nonary8585013007203533165base 9; each digit is two ternary digits: 19 digits
Duodecimal704637993845ba995base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 17 digits
Vigesimalfh7d2a00000001base 20; hands and feet, and the Mayan and Yoruba systems: 14 digits
Sexagesimal2:8:59:51:51:39:35:18:31:6:41base 60; Babylonian, and still how an hour and a circle are divided: 11 digits
Balanced ternaryT00100011000TT0000T1TT100TT11T0T0T11T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11001000001010100010010010011101000000000000100000000000000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1110110111110101011110001110001100111111111111011111111111111111
Bit length61 bitsto write the magnitude
Set bits15the population count, or Hamming weight
Zero bits46within that length
Bit parityodd15 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 60worth 1,152,921,504,606,846,976
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes812 0a 87 1c c0 02 00 01
Gray code1101100001111110001001001001010100000000000110000000000000001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
64-bit1110110111110101011110001110001100111111111111011111111111111111two's complement
One's complement0001001000001010100001110001110011000000000000100000000000000000at 64 bits, every bit flipped
Bits reversed1111111111111111101111111111110011000111000111101010111110110111at 64 bits
Rotated left by 11101101111101010111100011100011001111111111110111111111111111111at 64 bits, wrapping
Shifted left by 1-10010000010101000011100011100110000000000001000000000000000010= -2,600,000,000,000,000,002, no wrap
Shifted right by 1-100100000101010000111000111001100000000000010000000000000001= -650,000,000,000,000,000, discarding the low bit
These bits as a double9.1734807 × 10^-222≈IEEE-754 binary64 reinterpretation of the same 64 bits (normal)
Nearest landmarks
Nearest square below1,299,999,999,773,930,625
Nearest square above1,300,000,002,054,281,476
Powers & multiples
-1,300,000,000,000,000,001 to the power 21,690,000,000,000,000,002,600,000,000,000,000,001
-1,300,000,000,000,000,001 to the power 3-21970000000000000050700000000… (56 digits)
-1,300,000,000,000,000,001 to the power 4285610000000000000878800000000… (73 digits)
-1,300,000,000,000,000,001 to the power 5-37129300000000000142805000000… (92 digits)
First ten multiples-1,300,000,000,000,000,001, -2,600,000,000,000,000,002, -3,900,000,000,000,000,003, -5,200,000,000,000,000,004, -6,500,000,000,000,000,005, -7,800,000,000,000,000,006, -9,100,000,000,000,000,007, -10,400,000,000,000,000,008, -11,700,000,000,000,000,009, -13,000,000,000,000,000,010
Powers of twoBetween 2^60 (1,152,921,504,606,846,976) and 2^61 (2,305,843,009,213,693,952)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 1
Divisible by 11No, remainder 10
Divisible by 12No, remainder 5
Divisible by 100No, remainder 1
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