| Base | Representation |
|---|---|
| bin | 1001100100011010011010… |
| … | …11100001000010111100000 |
| 3 | 2202111121222010121011022200 |
| 4 | 10302031031130020113200 |
| 5 | 10224224210031044130 |
| 6 | 112430415215333200 |
| 7 | 4301154620612553 |
| oct | 462151534102740 |
| 9 | 82447863534280 |
| 10 | 21042344003040 |
| 11 | 678300a687168 |
| 12 | 243a192521200 |
| 13 | b98391142879 |
| 14 | 52a6522b669a |
| 15 | 26755dc98760 |
| hex | 13234d7085e0 |
21042344003040 has 288 divisors, whose sum is σ = 73695034629216. Its totient is φ = 5464527667200.
The previous prime is 21042344002973. The next prime is 21042344003077. The reversal of 21042344003040 is 4030044324012.
It is a happy number.
21042344003040 is a `hidden beast` number, since 2 + 10 + 4 + 2 + 344 + 0 + 0 + 304 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×210423440030402 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 21042344002995 and 21042344003013.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 20362840 + ... + 21371240.
It is an arithmetic number, because the mean of its divisors is an integer number (255885536907).
Almost surely, 221042344003040 is an apocalyptic number.
21042344003040 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 21042344003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36847517314608).
21042344003040 is an abundant number, since it is smaller than the sum of its proper divisors (52652690626176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21042344003040 is a wasteful number, since it uses less digits than its factorization.
21042344003040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1008802 (or 1008791 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 21042344003040 its reverse (4030044324012), we get a palindrome (25072388327052).
The spelling of 21042344003040 in words is "twenty-one trillion, forty-two billion, three hundred forty-four million, three thousand, forty".
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