| Base | Representation |
|---|---|
| bin | 1001000011101100… |
| … | …0000000000101000 |
| 3 | 20021110002012002000 |
| 4 | 2100323000000220 |
| 5 | 14434413320030 |
| 6 | 1041133011000 |
| 7 | 114152302605 |
| oct | 22073000050 |
| 9 | 6243065060 |
| 10 | 2431385640 |
| 11 | 10384aa022 |
| 12 | 57a323a60 |
| 13 | 2c9957538 |
| 14 | 190cad6ac |
| 15 | e36c5860 |
| hex | 90ec0028 |
2431385640 has 128 divisors (see below), whose sum is σ = 8150544000. Its totient is φ = 644696064.
The previous prime is 2431385639. The next prime is 2431385647. The reversal of 2431385640 is 465831342.
2431385640 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 3 + 8 + 5 + 640 = 666.
It is a super-2 number, since 2×24313856402 = 11823272260796419200, which 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 = 2431385595 and 2431385604.
It is not an unprimeable number, because it can be changed into a prime (2431385647) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187032 + ... + 199608.
It is an arithmetic number, because the mean of its divisors is an integer number (63676125).
Almost surely, 22431385640 is an apocalyptic number.
2431385640 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 2431385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075272000).
2431385640 is an abundant number, since it is smaller than the sum of its proper divisors (5719158360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2431385640 is a wasteful number, since it uses less digits than its factorization.
2431385640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12776 (or 12766 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 2431385640 is about 49309.0827333058. The cubic root of 2431385640 is about 1344.6769150684.
The spelling of 2431385640 in words is "two billion, four hundred thirty-one million, three hundred eighty-five thousand, six hundred forty".
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