| Base | Representation |
|---|---|
| bin | 10111000111110111… |
| … | …10011000110000000 |
| 3 | 1012001011012111021000 |
| 4 | 23203323303012000 |
| 5 | 200410443212100 |
| 6 | 5411455532000 |
| 7 | 616426404531 |
| oct | 134373630600 |
| 9 | 35034174230 |
| 10 | 12414038400 |
| 11 | 52a0445875 |
| 12 | 24a552a000 |
| 13 | 122ab7cb6a |
| 14 | 85a9d8688 |
| 15 | 4c9ca8900 |
| hex | 2e3ef3180 |
12414038400 has 384 divisors, whose sum is σ = 47414822400. Its totient is φ = 3165972480.
The previous prime is 12414038389. The next prime is 12414038407. The reversal of 12414038400 is 483041421.
12414038400 is a `hidden beast` number, since 1 + 241 + 40 + 384 + 0 + 0 = 666.
12414038400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12414038407) 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 47 ways as a sum of consecutive naturals, for example, 1984077 + ... + 1990323.
It is an arithmetic number, because the mean of its divisors is an integer number (123476100).
Almost surely, 212414038400 is an apocalyptic number.
12414038400 is a gapful number since it is divisible by the number (10) 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 12414038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23707411200).
12414038400 is an abundant number, since it is smaller than the sum of its proper divisors (35000784000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12414038400 is a wasteful number, since it uses less digits than its factorization.
12414038400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6303 (or 6280 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
Adding to 12414038400 its reverse (483041421), we get a palindrome (12897079821).
The spelling of 12414038400 in words is "twelve billion, four hundred fourteen million, thirty-eight thousand, four hundred".
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