Base | Representation |
---|---|
bin | 1111101111111… |
… | …10100000001100 |
3 | 100012121002221120 |
4 | 13313332200030 |
5 | 232310130234 |
6 | 21035400540 |
7 | 3162645210 |
oct | 767764014 |
9 | 305532846 |
10 | 132114444 |
11 | 686365a0 |
12 | 382b3150 |
13 | 214a9037 |
14 | 13790940 |
15 | b8ea049 |
hex | 7dfe80c |
132114444 has 48 divisors (see below), whose sum is σ = 384335616. Its totient is φ = 34315200.
The previous prime is 132114421. The next prime is 132114449. The reversal of 132114444 is 444411231.
132114444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (132114449) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70567 + ... + 72414.
It is an arithmetic number, because the mean of its divisors is an integer number (8006992).
Almost surely, 2132114444 is an apocalyptic number.
132114444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
132114444 is an abundant number, since it is smaller than the sum of its proper divisors (252221172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132114444 is a wasteful number, since it uses less digits than its factorization.
132114444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143006 (or 143004 counting only the distinct ones).
The product of its digits is 1536, while the sum is 24.
The square root of 132114444 is about 11494.1047498272. The cubic root of 132114444 is about 509.3114429539.
Adding to 132114444 its reverse (444411231), we get a palindrome (576525675).
The spelling of 132114444 in words is "one hundred thirty-two million, one hundred fourteen thousand, four hundred forty-four".
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