Search a number
-
+
132244013440 = 27571116716069
BaseRepresentation
bin111101100101001011…
…0111000000110000000
3110122100022102221100201
41323022112320012000
54131313431412230
6140430240054544
712361062365410
oct1731226700600
9418308387321
10132244013440
11510a23306a0
1221768304454
13c616a76736
146587522640
15368ed765ca
hex1eca5b8180

132244013440 has 256 divisors, whose sum is σ = 396540748800. Its totient is φ = 40969543680.

The previous prime is 132244013431. The next prime is 132244013441. The reversal of 132244013440 is 44310442231.

132244013440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132244013399 and 132244013408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132244013441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8221726 + ... + 8237794.

It is an arithmetic number, because the mean of its divisors is an integer number (1548987300).

Almost surely, 2132244013440 is an apocalyptic number.

132244013440 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 132244013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198270374400).

132244013440 is an abundant number, since it is smaller than the sum of its proper divisors (264296735360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132244013440 is a wasteful number, since it uses less digits than its factorization.

132244013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273 (or 16261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132244013440 its reverse (44310442231), we get a palindrome (176554455671).

The spelling of 132244013440 in words is "one hundred thirty-two billion, two hundred forty-four million, thirteen thousand, four hundred forty".