Base | Representation |
---|---|
bin | 111101101000011011… |
… | …1001011010011000000 |
3 | 110122121220210100100022 |
4 | 1323100313023103000 |
5 | 4132024401102000 |
6 | 140445135113012 |
7 | 12363556106330 |
oct | 1732067132300 |
9 | 418556710308 |
10 | 132353144000 |
11 | 51148999040 |
12 | 21798972768 |
13 | c63356612c |
14 | 6597c0d0c0 |
15 | 3699731585 |
hex | 1ed0dcb4c0 |
132353144000 has 448 divisors, whose sum is σ = 419768414208. Its totient is φ = 40131072000.
The previous prime is 132353143973. The next prime is 132353144009. The reversal of 132353144000 is 441353231.
132353144000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (448).
It is not an unprimeable number, because it can be changed into a prime (132353144009) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22789097 + ... + 22794903.
Almost surely, 2132353144000 is an apocalyptic number.
132353144000 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 132353144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209884207104).
132353144000 is an abundant number, since it is smaller than the sum of its proper divisors (287415270208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132353144000 is a wasteful number, since it uses less digits than its factorization.
132353144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5889 (or 5869 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 26.
Adding to 132353144000 its reverse (441353231), we get a palindrome (132794497231).
The spelling of 132353144000 in words is "one hundred thirty-two billion, three hundred fifty-three million, one hundred forty-four thousand".
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