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132045442050000 = 243557331200959
BaseRepresentation
bin11110000001100000111001…
…101010101110011111010000
3122022112102100220002110101210
4132001200321222232133100
5114301413031131100000
61144500501051500120
736545653102233363
oct3601407152563720
9568472326073353
10132045442050000
113908a18068a836
121298735b457640
13588aaa74a292b
142487067caa0da
15103ec11bd2350
hex781839aae7d0

132045442050000 has 240 divisors, whose sum is σ = 426951483356160. Its totient is φ = 35164050240000.

The previous prime is 132045442049999. The next prime is 132045442050031. The reversal of 132045442050000 is 50244540231.

132045442050000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 132045442050000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109349521 + ... + 110550479.

It is an arithmetic number, because the mean of its divisors is an integer number (1778964513984).

Almost surely, 2132045442050000 is an apocalyptic number.

132045442050000 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 132045442050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213475741678080).

132045442050000 is an abundant number, since it is smaller than the sum of its proper divisors (294906041306160).

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

132045442050000 is an equidigital number, since it uses as much as digits as its factorization.

132045442050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201728 (or 1201702 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 132045442050000 its reverse (50244540231), we get a palindrome (132095686590231).

The spelling of 132045442050000 in words is "one hundred thirty-two trillion, forty-five billion, four hundred forty-two million, fifty thousand".