Base | Representation |
---|---|
bin | 111101101000001000… |
… | …1101110000010000000 |
3 | 110122121020022110221020 |
4 | 1323100101232002000 |
5 | 4132014342343200 |
6 | 140444144425440 |
7 | 12363406462041 |
oct | 1732021560200 |
9 | 418536273836 |
10 | 132343324800 |
11 | 511433a17a5 |
12 | 21795618280 |
13 | c63150895b |
14 | 65967b48c8 |
15 | 3698941ea0 |
hex | 1ed046e080 |
132343324800 has 384 divisors, whose sum is σ = 462613248000. Its totient is φ = 33181716480.
The previous prime is 132343324759. The next prime is 132343324801. The reversal of 132343324800 is 8423343231.
It is a tau number, because it is divible by the number of its divisors (384).
It is not an unprimeable number, because it can be changed into a prime (132343324801) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13022121 + ... + 13032279.
It is an arithmetic number, because the mean of its divisors is an integer number (1204722000).
Almost surely, 2132343324800 is an apocalyptic number.
132343324800 is a gapful number since it is divisible by the number (10) 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 132343324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231306624000).
132343324800 is an abundant number, since it is smaller than the sum of its proper divisors (330269923200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132343324800 is a wasteful number, since it uses less digits than its factorization.
132343324800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10268 (or 10251 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 33.
The spelling of 132343324800 in words is "one hundred thirty-two billion, three hundred forty-three million, three hundred twenty-four thousand, eight hundred".
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