Base | Representation |
---|---|
bin | 100010101101101100000011… |
… | …1011110100101111011111110 |
3 | 1111001010211202201011002000100 |
4 | 1011123120013132211323332 |
5 | 310010244143240331141 |
6 | 3001230132021541530 |
7 | 121213362450162450 |
oct | 10533300736457376 |
9 | 1431124681132010 |
10 | 305346530402046 |
11 | 89324811054001 |
12 | 2a2b62532748a6 |
13 | 1014c0922b4053 |
14 | 5558bcad282d0 |
15 | 2547b6d6d00b6 |
hex | 115b6077a5efe |
305346530402046 has 96 divisors (see below), whose sum is σ = 757533966958080. Its totient is φ = 87076112211648.
The previous prime is 305346530402033. The next prime is 305346530402047. The reversal of 305346530402046 is 640204035643503.
305346530402046 is a `hidden beast` number, since 3 + 0 + 5 + 34 + 6 + 530 + 40 + 2 + 0 + 46 = 666.
It is a super-3 number, since 3×3053465304020463 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 305346530401992 and 305346530402010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (305346530402047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149767740 + ... + 151792848.
It is an arithmetic number, because the mean of its divisors is an integer number (7890978822480).
Almost surely, 2305346530402046 is an apocalyptic number.
305346530402046 is an abundant number, since it is smaller than the sum of its proper divisors (452187436556034).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305346530402046 is a wasteful number, since it uses less digits than its factorization.
305346530402046 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2027398 (or 2027395 counting only the distinct ones).
The product of its (nonzero) digits is 3110400, while the sum is 45.
The spelling of 305346530402046 in words is "three hundred five trillion, three hundred forty-six billion, five hundred thirty million, four hundred two thousand, forty-six".
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