| Base | Representation |
|---|---|
| bin | 1100010011101001001… |
| … | …0111001110100010000 |
| 3 | 202012202000112120102001 |
| 4 | 3010322102321310100 |
| 5 | 11431002421301230 |
| 6 | 241044045203344 |
| 7 | 21163316341315 |
| oct | 3047222716420 |
| 9 | 665660476361 |
| 10 | 211431431440 |
| 11 | 817385928a9 |
| 12 | 34b87b60554 |
| 13 | 16c267417a8 |
| 14 | a33a3b8d0c |
| 15 | 5776d350ca |
| hex | 313a4b9d10 |
211431431440 has 160 divisors (see below), whose sum is σ = 505847489760. Its totient is φ = 82158796800.
The previous prime is 211431431389. The next prime is 211431431447. The reversal of 211431431440 is 44134134112.
It can be written as a sum of positive squares in 16 ways, for example, as 45850800384 + 165580631056 = 214128^2 + 406916^2 .
It is a junction number, because it is equal to n+sod(n) for n = 211431431399 and 211431431408.
It is not an unprimeable number, because it can be changed into a prime (211431431447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153099550 + ... + 153100930.
It is an arithmetic number, because the mean of its divisors is an integer number (3161546811).
Almost surely, 2211431431440 is an apocalyptic number.
211431431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211431431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252923744880).
211431431440 is an abundant number, since it is smaller than the sum of its proper divisors (294416058320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211431431440 is a wasteful number, since it uses less digits than its factorization.
211431431440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 28.
Adding to 211431431440 its reverse (44134134112), we get a palindrome (255565565552).
The spelling of 211431431440 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred forty".
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