| Base | Representation |
|---|---|
| bin | 1100010011101001001… |
| … | …0110010001111111000 |
| 3 | 202012202000110222212220 |
| 4 | 3010322102302033320 |
| 5 | 11431002414303230 |
| 6 | 241044044404040 |
| 7 | 21163316152041 |
| oct | 3047222621770 |
| 9 | 665660428786 |
| 10 | 211431400440 |
| 11 | 81738571587 |
| 12 | 34b87b46620 |
| 13 | 16c26730650 |
| 14 | a33a3ab8c8 |
| 15 | 5776d2ad10 |
| hex | 313a4b23f8 |
211431400440 has 128 divisors (see below), whose sum is σ = 683590501440. Its totient is φ = 52006219776.
The previous prime is 211431400421. The next prime is 211431400441. The reversal of 211431400440 is 44004134112.
211431400440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 211431400440.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211431400441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092524 + ... + 2191236.
Almost surely, 2211431400440 is an apocalyptic number.
211431400440 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 211431400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341795250720).
211431400440 is an abundant number, since it is smaller than the sum of its proper divisors (472159101000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211431400440 is a wasteful number, since it uses less digits than its factorization.
211431400440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100113 (or 100109 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
Adding to 211431400440 its reverse (44004134112), we get a palindrome (255435534552).
The spelling of 211431400440 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thousand, four hundred forty".
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