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The name of a number 10 3n+3, where n is greater than or equal to 1000, is formed by concatenating the names of the numbers of the form 10 3m+3, where m represents each group of comma-separated digits of n, with each but the last "-illion" trimmed to "-illi-", or, in the case of m = 0, either "-nilli-" or "-nillion". [17]
A property of weird numbers is that if n is weird, and p is a prime greater than the sum of divisors σ(n), then pn is also weird. [4] This leads to the definition of primitive weird numbers: weird numbers that are not a multiple of other weird numbers (sequence A002975 in the OEIS). Among the 1765 weird numbers less than one million, there are ...
For higher powers of ten, naming diverges. The Indian system uses names for every second power of ten: lakh (10 5), crore (10 7), arab (10 9), kharab (10 11), etc. In the two Western systems, long and short scales, there are names for every third power of ten. The short scale uses million (10 6), billion (10 9), trillion (10 12), etc.
For example, class 5 is defined to include numbers between 10 10 10 10 6 and 10 10 10 10 10 6, which are numbers where X becomes humanly indistinguishable from X 2 [14] (taking iterated logarithms of such X yields indistinguishibility firstly between log(X) and 2log(X), secondly between log(log(X)) and 1+log(log(X)), and finally an extremely ...
Similarly, when you turn a 3 into a 2 in the following decimal position, you are turning 30×10 n into 2×10 n, which is the same as subtracting 30×10 n −28×10 n, and this is again subtracting a multiple of 7. The same reason applies for all the remaining conversions:
It means that 1, 4, and 36 are the only square highly composite numbers. Saying that the sequence of exponents is non-increasing is equivalent to saying that a highly composite number is a product of primorials or, alternatively, the smallest number for its prime signature .
A post shared on X claims that there were 10 million fewer voters in 2024 than in 2020. Verdict: False Votes are still being counted. The vote total will likely be more than 150 million votes.
1,000,000,000,000, i.e. one million million, or 10 12 (ten to the twelfth power), as defined on the short scale. This is now the meaning in both American and British English. 1,000,000,000,000,000,000, i.e. 10 18 (ten to the eighteenth power), as defined on the long scale. This is one million times larger than the short scale trillion.