Recognised as Number
-10,000,000,000,000,000,000,000
- Negative
- Even
- Perfect square
- 23 digits
-10,000,000,000,000,000,000,000 is an even 23-digit integer and the negative of 10,000,000,000,000,000,000,000. It has 529 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value10,000,000,000,000,000,000,000
Digit count23
Digit sum1
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 100,000,000,000²
Factors & divisors
Prime factorisation−1 × 2^22 × 5^22
Distinct prime factors22, 5
Number of divisors529
Sum of divisors σ(n)24,999,997,019,767,759,133,317
SquarefreeNohas a repeated prime factor
All divisors529 divisors, too many to listlisting is capped at 512
Arithmetic
Previous number-10,000,000,000,000,000,000,001
Next number-9,999,999,999,999,999,999,999
Square100,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Cube-1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Cube root21,544,346≈
Negation10,000,000,000,000,000,000,000
Representations
Decimal-10,000,000,000,000,000,000,000
Binary1000011110000110011110000011001001101110101011001001000000000000000000000074 bits
Octal2074147406233526220000000
Hexadecimal21E19E0C9BAB2400000
Base 361MMFB877TU0O6PS
In wordsminus ten sextillion
Ordinalminus ten sextillionth
Engineering notation-10 × 10^21
In other bases
Ternary10101101120122002111101201110222020110022221101base 3; the most digit-efficient integer base after e: 47 digits
Quinary20332042040000000000000000000000base 5; one hand: 32 digits
Septenary103124430006141042330114154base 7: 27 digits
Nonary111346562441643866408841base 9; each digit is two ternary digits: 24 digits
Duodecimal27373a86ba1a194a65054base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 21 digits
Vigesimalf53a6500000000000base 20; hands and feet, and the Mayan and Yoruba systems: 17 digits
Sexagesimal4:35:38:10:18:4:35:26:44:56:17:46:40base 60; Babylonian, and still how an hour and a circle are divided: 13 digits
Balanced ternaryT0T0TTT111T1010T1TTTTT110TTTT001T10TT0T0001TT0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10001001100011101001100011010010100100010101010010110000000000000000000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
Bit length74 bitsto write the magnitude
Set bits25the population count, or Hamming weight
Zero bits49within that length
Bit parityodd25 set bits, so odd; not the same as the number itself being even
Highest set bitbit 73worth 9,444,732,965,739,290,427,392
Lowest set bitbit 2222 trailing zeros
Power of twoNo
Bytes1002 1e 19 e0 c9 ba b2 40 00 00
Gray code11000100010001010100010000101011010110011111101011011000000000000000000000n XOR (n >> 1); successive values differ in exactly one bit
Nearest landmarks
Nearest square below10,000,000,000,000,000,000,000
Nearest square above10,000,000,000,200,000,000,001
Powers & multiples
-10,000,000,000,000,000,000,000 to the power 2100000000000000000000000000000… (45 digits)
-10,000,000,000,000,000,000,000 to the power 3-10000000000000000000000000000… (68 digits)
-10,000,000,000,000,000,000,000 to the power 4100000000000000000000000000000… (89 digits)
-10,000,000,000,000,000,000,000 to the power 5-10000000000000000000000000000… (112 digits)
First ten multiples-10,000,000,000,000,000,000,000, -20,000,000,000,000,000,000,000, -30,000,000,000,000,000,000,000, -40,000,000,000,000,000,000,000, -50,000,000,000,000,000,000,000, -60,000,000,000,000,000,000,000, -70,000,000,000,000,000,000,000, -80,000,000,000,000,000,000,000, -90,000,000,000,000,000,000,000, -100,000,000,000,000,000,000,000
Powers of twoBetween 2^73 (9,444,732,965,739,290,427,392) and 2^74 (18,889,465,931,478,580,854,784)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 1
Divisible by 10Yes
Divisible by 11No, remainder 1
Divisible by 12No, remainder 4
Divisible by 100Yes
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Neighbouring numbers
Derived from -10,000,000,000,000,000,000,000
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