Base | Representation |
---|---|
bin | 11110111101011100… |
… | …000001010110001000 |
3 | 10011210202120220100220 |
4 | 132331130001112020 |
5 | 1021040202313230 |
6 | 23134401030040 |
7 | 2254535632533 |
oct | 367534012610 |
9 | 104722526326 |
10 | 33243010440 |
11 | 131098a3852 |
12 | 6539025320 |
13 | 319a2127a3 |
14 | 187502ba1a |
15 | ce86c0d10 |
hex | 7bd701588 |
33243010440 has 128 divisors (see below), whose sum is σ = 104729276160. Its totient is φ = 8425257984.
The previous prime is 33243010439. The next prime is 33243010447. The reversal of 33243010440 is 4401034233.
It is a super-3 number, since 3×332430104403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 33243010440.
It is not an unprimeable number, because it can be changed into a prime (33243010447) 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, 394962 + ... + 471678.
It is an arithmetic number, because the mean of its divisors is an integer number (818197470).
Almost surely, 233243010440 is an apocalyptic number.
33243010440 is a gapful number since it is divisible by the number (30) 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 33243010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52364638080).
33243010440 is an abundant number, since it is smaller than the sum of its proper divisors (71486265720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33243010440 is a wasteful number, since it uses less digits than its factorization.
33243010440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76911 (or 76907 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
Adding to 33243010440 its reverse (4401034233), we get a palindrome (37644044673).
The spelling of 33243010440 in words is "thirty-three billion, two hundred forty-three million, ten thousand, four hundred forty".
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