Base | Representation |
---|---|
bin | 100001110000110011010… |
… | …111111001000110010000 |
3 | 22012210200211201100110200 |
4 | 201300303113321012100 |
5 | 301003123411203130 |
6 | 4533505355055200 |
7 | 326424223440213 |
oct | 41606327710620 |
9 | 8183624640420 |
10 | 2320144241040 |
11 | 814a70a3557a |
12 | 3157ab741500 |
13 | 13aa33901422 |
14 | 8041d10377a |
15 | 40543dea760 |
hex | 21c335f9190 |
2320144241040 has 60 divisors (see below), whose sum is σ = 7791817745244. Its totient is φ = 618705130752.
The previous prime is 2320144241039. The next prime is 2320144241053. The reversal of 2320144241040 is 401424410232.
2320144241040 is a `hidden beast` number, since 2 + 3 + 201 + 4 + 4 + 2 + 410 + 40 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 949081227264 + 1371063013776 = 974208^2 + 1170924^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a junction number, because it is equal to n+sod(n) for n = 2320144240995 and 2320144241013.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1611210559 + ... + 1611211998.
Almost surely, 22320144241040 is an apocalyptic number.
2320144241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2320144241040 is an abundant number, since it is smaller than the sum of its proper divisors (5471673504204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2320144241040 is a wasteful number, since it uses less digits than its factorization.
2320144241040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3222422576 (or 3222422567 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 2320144241040 its reverse (401424410232), we get a palindrome (2721568651272).
The spelling of 2320144241040 in words is "two trillion, three hundred twenty billion, one hundred forty-four million, two hundred forty-one thousand, forty".
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