Base | Representation |
---|---|
bin | 1001101010101001001… |
… | …00110100100000011100 |
3 | 1011202021210212021221200 |
4 | 10311110210310200130 |
5 | 20420201120421223 |
6 | 412325024555500 |
7 | 32665345330251 |
oct | 4652444644034 |
9 | 1152253767850 |
10 | 332131420188 |
11 | 118946589917 |
12 | 54452182b90 |
13 | 25420963089 |
14 | 1210a695428 |
15 | 898d4a9a43 |
hex | 4d5493481c |
332131420188 has 144 divisors (see below), whose sum is σ = 910125216000. Its totient is φ = 101717586432.
The previous prime is 332131420147. The next prime is 332131420189. The reversal of 332131420188 is 881024131233.
332131420188 is a `hidden beast` number, since 3 + 3 + 21 + 31 + 420 + 188 = 666.
It is a super-2 number, since 2×3321314201882 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (332131420189) 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, 92077881 + ... + 92081487.
It is an arithmetic number, because the mean of its divisors is an integer number (6320314000).
Almost surely, 2332131420188 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 332131420188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455062608000).
332131420188 is an abundant number, since it is smaller than the sum of its proper divisors (577993795812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332131420188 is a wasteful number, since it uses less digits than its factorization.
332131420188 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7176 (or 7171 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 332131420188 in words is "three hundred thirty-two billion, one hundred thirty-one million, four hundred twenty thousand, one hundred eighty-eight".
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