Base | Representation |
---|---|
bin | 111101111001111110… |
… | …1101001111001000000 |
3 | 110201010221220121021200 |
4 | 1323303331221321000 |
5 | 4134231130412421 |
6 | 141023413221200 |
7 | 12414266510154 |
oct | 1736375517100 |
9 | 421127817250 |
10 | 132942044736 |
11 | 51420355966 |
12 | 21922031800 |
13 | c6c85769c7 |
14 | 6612107064 |
15 | 36d12aa726 |
hex | 1ef3f69e40 |
132942044736 has 336 divisors, whose sum is σ = 406759062528. Its totient is φ = 41442508800.
The previous prime is 132942044717. The next prime is 132942044749. The reversal of 132942044736 is 637440249231.
132942044736 is a `hidden beast` number, since 132 + 9 + 42 + 0 + 4 + 473 + 6 = 666.
132942044736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 132942044691 and 132942044700.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82726045 + ... + 82727651.
It is an arithmetic number, because the mean of its divisors is an integer number (1210592448).
Almost surely, 2132942044736 is an apocalyptic number.
132942044736 is a gapful number since it is divisible by the number (16) 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 132942044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203379531264).
132942044736 is an abundant number, since it is smaller than the sum of its proper divisors (273817017792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132942044736 is a wasteful number, since it uses less digits than its factorization.
132942044736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1810 (or 1797 counting only the distinct ones).
The product of its (nonzero) digits is 870912, while the sum is 45.
The spelling of 132942044736 in words is "one hundred thirty-two billion, nine hundred forty-two million, forty-four thousand, seven hundred thirty-six".
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