Base | Representation |
---|---|
bin | 111101101010011001… |
… | …0111100001110010000 |
3 | 110122210111222102022211 |
4 | 1323110302330032100 |
5 | 4132143300030134 |
6 | 140455453441504 |
7 | 12365320066033 |
oct | 1732462741620 |
9 | 418714872284 |
10 | 132419142544 |
11 | 51182176797 |
12 | 217b6aa0294 |
13 | c644133520 |
14 | 65a28ad01a |
15 | 36a041b764 |
hex | 1ed4cbc390 |
132419142544 has 80 divisors (see below), whose sum is σ = 283396330224. Its totient is φ = 59550105600.
The previous prime is 132419142539. The next prime is 132419142551. The reversal of 132419142544 is 445241914231.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 10813504144 + 121605638400 = 103988^2 + 348720^2 .
It is a junction number, because it is equal to n+sod(n) for n = 132419142497 and 132419142506.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6992032 + ... + 7010944.
Almost surely, 2132419142544 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 132419142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141698165112).
132419142544 is an abundant number, since it is smaller than the sum of its proper divisors (150977187680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132419142544 is a wasteful number, since it uses less digits than its factorization.
132419142544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19796 (or 19790 counting only the distinct ones).
The product of its digits is 138240, while the sum is 40.
The spelling of 132419142544 in words is "one hundred thirty-two billion, four hundred nineteen million, one hundred forty-two thousand, five hundred forty-four".
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