Recognised as Number
-800,000,000,000,000,000,001
- Negative
- Odd
- 21 digits
-800,000,000,000,000,000,001 is an odd 21-digit integer and the negative of 800,000,000,000,000,000,001. It has 24 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value800,000,000,000,000,000,001
Digit count21
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 × 3^2 × 7,993 × 143,513 × 77,490,135,721
Distinct prime factors43, 7,993, 143,513, 77,490,135,721
Number of divisors24
Sum of divisors σ(n)1,155,708,179,444,374,677,576
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 7,993, 23,979, 71,937, 143,513, 430,539, 1,291,617, 1,147,099,409, 3,441,298,227, 10,323,894,681, 77,490,135,721, 232,470,407,163, 697,411,221,489, 619,378,654,817,953, 1,858,135,964,453,859, 5,574,407,893,361,577, 11,120,841,847,727,873, 33,362,525,543,183,619, 100,087,576,629,550,857, 88,888,888,888,888,888,889, 266,666,666,666,666,666,667, 800,000,000,000,000,000,00124 in total
Arithmetic
Previous number-800,000,000,000,000,000,002
Next number-800,000,000,000,000,000,000
Square640,000,000,000,000,000,001,600,000,000,000,000,000,001
Cube-512,000,000,000,000,000,001,920,000,000,000,000,000,002,400,000,000,000,000,000,001
Cube root9,283,177≈
Negation800,000,000,000,000,000,001
Representations
Decimal-800,000,000,000,000,000,001
Binary101011010111100011101011110001011010110001100010000000000000000000000170 bits
Octal126570727426543040000001
Hexadecimal2B5E3AF16B18800001
Base 364OU0WC3I85TAM9
In wordsminus eight hundred quintillion and one
Ordinalminus eight hundred quintillion and first
Engineering notation-800 × 10^18
In other bases
Ternary21022101222012121012011210120001121002212200base 3; the most digit-efficient integer base after e: 44 digits
Quinary412141341300000000000000000001base 5; one hand: 30 digits
Septenary4114201452511131016311513base 7: 25 digits
Nonary7271865535153501532780base 9; each digit is two ternary digits: 22 digits
Duodecimal260704639b230332ab69base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 20 digits
Vigesimal1485ca00000000001base 20; hands and feet, and the Mayan and Yoruba systems: 17 digits
Sexagesimal22:3:3:13:26:46:2:8:23:42:13:21base 60; Babylonian, and still how an hour and a circle are divided: 12 digits
Balanced ternaryT1TT01TT1001T1011TT11T111TT1100T111T0T0010100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110101011110011011000101000100111001010100111000100000000000000000000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
Bit length70 bitsto write the magnitude
Set bits27the population count, or Hamming weight
Zero bits43within that length
Bit parityodd27 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 69worth 590,295,810,358,705,651,712
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes92b 5e 3a f1 6b 18 80 00 01
Gray code1111101111000100100111100010011101111010010100110000000000000000000001n XOR (n >> 1); successive values differ in exactly one bit
Nearest landmarks
Nearest square below799,999,999,973,870,935,009
Nearest square above800,000,000,030,439,477,504
Powers & multiples
-800,000,000,000,000,000,001 to the power 2640000000000000000001600000000… (42 digits)
-800,000,000,000,000,000,001 to the power 3-51200000000000000000192000000… (64 digits)
-800,000,000,000,000,000,001 to the power 4409600000000000000002048000000… (84 digits)
-800,000,000,000,000,000,001 to the power 5-32768000000000000000204800000… (106 digits)
First ten multiples-800,000,000,000,000,000,001, -1,600,000,000,000,000,000,002, -2,400,000,000,000,000,000,003, -3,200,000,000,000,000,000,004, -4,000,000,000,000,000,000,005, -4,800,000,000,000,000,000,006, -5,600,000,000,000,000,000,007, -6,400,000,000,000,000,000,008, -7,200,000,000,000,000,000,009, -8,000,000,000,000,000,000,010
Powers of twoBetween 2^69 (590,295,810,358,705,651,712) and 2^70 (1,180,591,620,717,411,303,424)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 9
Divisible by 12No, remainder 9
Divisible by 100No, remainder 1
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