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132321334004244 = 22327112913921315557
BaseRepresentation
bin11110000101100001110110…
…000111000000101000010100
3122100111210111021110212112100
4132011201312013000220110
5114320423043001113434
61145231325345522100
736604621003163250
oct3605416607005024
9570453437425470
10132321334004244
1139186187487480
1212a10917043330
1358aab048054b8
14249655b2c9260
151046eacb5b699
hex7858761c0a14

132321334004244 has 576 divisors, whose sum is σ = 434778098227200. Its totient is φ = 32923913702400.

The previous prime is 132321334004227. The next prime is 132321334004269. The reversal of 132321334004244 is 442400433123231.

132321334004244 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 1 + 3 + 3 + 400 + 4 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132321334004199 and 132321334004208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23811646314 + ... + 23811651870.

It is an arithmetic number, because the mean of its divisors is an integer number (754823087200).

Almost surely, 2132321334004244 is an apocalyptic number.

132321334004244 is a gapful number since it is divisible by the number (14) 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 132321334004244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217389049113600).

132321334004244 is an abundant number, since it is smaller than the sum of its proper divisors (302456764222956).

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

132321334004244 is a wasteful number, since it uses less digits than its factorization.

132321334004244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 132321334004244 its reverse (442400433123231), we get a palindrome (574721767127475).

The spelling of 132321334004244 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, three hundred thirty-four million, four thousand, two hundred forty-four".