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132442014432 = 253713229239277
BaseRepresentation
bin111101101011000101…
…0001100001011100000
3110122212010000102122210
41323112022030023200
54132220123430212
6140502032002120
712366015355650
oct1732612141340
9418763012583
10132442014432
1151194078782
1221802690340
13c648ab0ba0
1465a5944360
1536a243853c
hex1ed628c2e0

132442014432 has 384 divisors, whose sum is σ = 433114214400. Its totient is φ = 34506694656.

The previous prime is 132442014371. The next prime is 132442014433. The reversal of 132442014432 is 234410244231.

132442014432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132442014432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132442014433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478129878 + ... + 478130154.

It is an arithmetic number, because the mean of its divisors is an integer number (1127901600).

Almost surely, 2132442014432 is an apocalyptic number.

132442014432 is a gapful number since it is divisible by the number (12) 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 132442014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216557107200).

132442014432 is an abundant number, since it is smaller than the sum of its proper divisors (300672199968).

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

132442014432 is a wasteful number, since it uses less digits than its factorization.

132442014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 132442014432 its reverse (234410244231), we get a palindrome (366852258663).

The spelling of 132442014432 in words is "one hundred thirty-two billion, four hundred forty-two million, fourteen thousand, four hundred thirty-two".