| Base | Representation |
|---|---|
| bin | 10011111110001010… |
| … | …100010011001110000 |
| 3 | 2001100110202022202200 |
| 4 | 103332022202121300 |
| 5 | 322404133410100 |
| 6 | 13503512143200 |
| 7 | 1356255240612 |
| oct | 237612423160 |
| 9 | 61313668680 |
| 10 | 21444044400 |
| 11 | 9104670a49 |
| 12 | 41a5697b00 |
| 13 | 2039907a8c |
| 14 | 1075dc0db2 |
| 15 | 857910e00 |
| hex | 4fe2a2670 |
21444044400 has 180 divisors, whose sum is σ = 75359774880. Its totient is φ = 5645952000.
The previous prime is 21444044399. The next prime is 21444044407. The reversal of 21444044400 is 444044412.
21444044400 is a `hidden beast` number, since 214 + 4 + 4 + 0 + 4 + 440 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (180).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21444044407) 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 35 ways as a sum of consecutive naturals, for example, 246700 + ... + 322100.
It is an arithmetic number, because the mean of its divisors is an integer number (418665416).
Almost surely, 221444044400 is an apocalyptic number.
21444044400 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 21444044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679887440).
21444044400 is an abundant number, since it is smaller than the sum of its proper divisors (53915730480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21444044400 is a wasteful number, since it uses less digits than its factorization.
21444044400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75504 (or 75490 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 27.
Adding to 21444044400 its reverse (444044412), we get a palindrome (21888088812).
It can be divided in two parts, 214440 and 44400, that added together give a triangular number (258840 = T719).
The spelling of 21444044400 in words is "twenty-one billion, four hundred forty-four million, forty-four thousand, four hundred".
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