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132244250534400 = 2935214923113159
BaseRepresentation
bin11110000100011010000011…
…100100111010001000000000
3122100020102112012022212202210
4132010122003210322020000
5114313142211114100100
61145132100415342120
736566221544410104
oct3604320344721000
9570212465285683
10132244250534400
113915652090a6a4
12129b99a3b21940
1358a376b9ab394
142492927a29904
151044e9a744c50
hex78468393a200

132244250534400 has 240 divisors, whose sum is σ = 439792585848000. Its totient is φ = 35028453212160.

The previous prime is 132244250534369. The next prime is 132244250534447. The reversal of 132244250534400 is 4435052442231.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5834980 + ... + 17278179.

It is an arithmetic number, because the mean of its divisors is an integer number (1832469107700).

Almost surely, 2132244250534400 is an apocalyptic number.

132244250534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132244250534400 is an abundant number, since it is smaller than the sum of its proper divisors (307548335313600).

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

132244250534400 is a wasteful number, since it uses less digits than its factorization.

132244250534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23113339 (or 23113318 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 132244250534400 in words is "one hundred thirty-two trillion, two hundred forty-four billion, two hundred fifty million, five hundred thirty-four thousand, four hundred".