| Base | Representation |
|---|---|
| bin | 100011000111101000111… |
| … | …001111101001100101000 |
| 3 | 22112201100220001222221000 |
| 4 | 203013220321331030220 |
| 5 | 304020102321110130 |
| 6 | 5044405434115000 |
| 7 | 336234623613600 |
| oct | 43075071751450 |
| 9 | 8481326058830 |
| 10 | 2413384160040 |
| 11 | 850568494777 |
| 12 | 32b89157ba60 |
| 13 | 146772a2ac29 |
| 14 | 84b4641bc00 |
| 15 | 42b9e90d260 |
| hex | 231e8e7d328 |
2413384160040 has 768 divisors, whose sum is σ = 10176429427200. Its totient is φ = 505142894592.
The previous prime is 2413384160029. The next prime is 2413384160059. The reversal of 2413384160040 is 400614833142.
2413384160040 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 3 + 8 + 4 + 1 + 600 + 40 = 666.
2413384160040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 2413384159977 and 2413384160004.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33250429 + ... + 33322931.
It is an arithmetic number, because the mean of its divisors is an integer number (13250559150).
Almost surely, 22413384160040 is an apocalyptic number.
2413384160040 is a gapful number since it is divisible by the number (20) 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 2413384160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088214713600).
2413384160040 is an abundant number, since it is smaller than the sum of its proper divisors (7763045267160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2413384160040 is a wasteful number, since it uses less digits than its factorization.
2413384160040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72591 (or 72574 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
Adding to 2413384160040 its reverse (400614833142), we get a palindrome (2813998993182).
The spelling of 2413384160040 in words is "two trillion, four hundred thirteen billion, three hundred eighty-four million, one hundred sixty thousand, forty".
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