| Base | Representation |
|---|---|
| bin | 10111001010101111… |
| … | …00111110100000000 |
| 3 | 1012002211111102112000 |
| 4 | 23211113213310000 |
| 5 | 200433124000230 |
| 6 | 5414115504000 |
| 7 | 620141120511 |
| oct | 134527476400 |
| 9 | 35084442460 |
| 10 | 12438109440 |
| 11 | 5302a96799 |
| 12 | 24b15b8000 |
| 13 | 1232b5a293 |
| 14 | 85dca2a08 |
| 15 | 4cbe60b60 |
| hex | 2e55e7d00 |
12438109440 has 576 divisors, whose sum is σ = 46304939520. Its totient is φ = 3158507520.
The previous prime is 12438109433. The next prime is 12438109451. The reversal of 12438109440 is 4490183421.
It is a happy number.
12438109440 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 (576).
It is a super-2 number, since 2×124381094402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12438109395 and 12438109404.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 90789052 + ... + 90789188.
It is an arithmetic number, because the mean of its divisors is an integer number (80390520).
Almost surely, 212438109440 is an apocalyptic number.
12438109440 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 12438109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23152469760).
12438109440 is an abundant number, since it is smaller than the sum of its proper divisors (33866830080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12438109440 is a wasteful number, since it uses less digits than its factorization.
12438109440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275 (or 255 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 12438109440 in words is "twelve billion, four hundred thirty-eight million, one hundred nine thousand, four hundred forty".
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