128 (number)
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128 is the natural number following 127 and preceding 129.
| Cardinal | One hundred [and] twenty-eight |
| Ordinal | 128th |
| Factorization | [2^7] |
| Roman numeral | CXXVIII |
| Binary | 10000000 |
| Hexadecimal | 80 |
In mathematics
One hundred [and] twenty-eight is the largest number which can not be expressed as the sum of any number of distinct squares. But it is divisible by the total number of its divisors, making it a refactorable number.The sum of Euler's totient function φ(x) over the first twenty integers is 128.
128 can be expressed by a combination of its digits with mathematical operators thus 128 = 28 - 1, making it a Friedman number in base 10. 128 is a Zuckerman number in bases 7, 10 and 15.
In other fields
One hundred [and] twenty-eight is also:- The size, in bits, of certain integer data types, used in computer representations of numbers.
- The number of character codes in ASCII (a 7-bit, not 8-bit, code).
- In megabytes, a common size for USB flash drives and memory cards.
- The number of sons of Anathoth at the Census of men of Israel upon return from exile (the Bible, Ezra 2:23). Also, the number of singers, sons of Asaph (Ezra 2:41).
- The number of musical instruments specified in General MIDI. Sometimes they are numbered 0 to 127 and sometimes they are numbered 1 to 128.
- The year 128.
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