| Base | Representation |
|---|---|
| bin | 111001011110000000… |
| … | …0011111111000000000 |
| 3 | 102210112212221211000000 |
| 4 | 1302330000133320000 |
| 5 | 4010222303101311 |
| 6 | 132410104000000 |
| 7 | 11626204003032 |
| oct | 1627400377000 |
| 9 | 383485854000 |
| 10 | 123413331456 |
| 11 | 48380676608 |
| 12 | 1bb02a60000 |
| 13 | b83a3ca21c |
| 14 | 5d8a7c3c52 |
| 15 | 3324993056 |
| hex | 1cbc01fe00 |
123413331456 has 280 divisors, whose sum is σ = 374996985264. Its totient is φ = 40549662720.
The previous prime is 123413331449. The next prime is 123413331463. The reversal of 123413331456 is 654133314321.
123413331456 is a `hidden beast` number, since 12 + 34 + 133 + 31 + 456 = 666.
123413331456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (123413331449) and next prime (123413331463).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 123413331456.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26498280 + ... + 26502936.
Almost surely, 2123413331456 is an apocalyptic number.
123413331456 is a gapful number since it is divisible by the number (16) 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 123413331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187498492632).
123413331456 is an abundant number, since it is smaller than the sum of its proper divisors (251583653808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123413331456 is an frugal number, since it uses more digits than its factorization.
123413331456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4764 (or 4733 counting only the distinct ones).
The product of its digits is 77760, while the sum is 36.
Adding to 123413331456 its reverse (654133314321), we get a palindrome (777546645777).
The spelling of 123413331456 in words is "one hundred twenty-three billion, four hundred thirteen million, three hundred thirty-one thousand, four hundred fifty-six".
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