| Base | Representation |
|---|---|
| bin | 1011111001011111101… |
| … | …0110100000010100000 |
| 3 | 201112121211200200221220 |
| 4 | 2332113322310002200 |
| 5 | 11322114013140112 |
| 6 | 233523343415040 |
| 7 | 20524345241400 |
| oct | 2762772640240 |
| 9 | 645554620856 |
| 10 | 204412240032 |
| 11 | 79766420470 |
| 12 | 337492b4480 |
| 13 | 163784794b0 |
| 14 | 9c720a4800 |
| 15 | 54b59c998c |
| hex | 2f97eb40a0 |
204412240032 has 1152 divisors, whose sum is σ = 774679707648. Its totient is φ = 46332518400.
The previous prime is 204412240027. The next prime is 204412240033. The reversal of 204412240032 is 230042214402.
204412240032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2044122400322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 204412239984 and 204412240011.
It is not an unprimeable number, because it can be changed into a prime (204412240033) 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 191 ways as a sum of consecutive naturals, for example, 1070221057 + ... + 1070221247.
It is an arithmetic number, because the mean of its divisors is an integer number (672465024).
Almost surely, 2204412240032 is an apocalyptic number.
204412240032 is a gapful number since it is divisible by the number (22) 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 204412240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387339853824).
204412240032 is an abundant number, since it is smaller than the sum of its proper divisors (570267467616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204412240032 is a wasteful number, since it uses less digits than its factorization.
204412240032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 322 (or 307 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 204412240032 its reverse (230042214402), we get a palindrome (434454454434).
It can be divided in two parts, 204412 and 240032, that added together give a palindrome (444444).
The spelling of 204412240032 in words is "two hundred four billion, four hundred twelve million, two hundred forty thousand, thirty-two".
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