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13442244341130 = 2325111961101193601
BaseRepresentation
bin1100001110011100010000…
…1100101110110110001010
31202121001210010020210000100
43003213010030232312022
53230214204022404010
644331140511350230
72555112226440663
oct303470414566612
952531703223010
1013442244341130
114312907545910
121611244522376
137667a13340c7
1434687289636a
151849e4ae22c0
hexc39c432ed8a

13442244341130 has 768 divisors, whose sum is σ = 41477940241920. Its totient is φ = 2985984000000.

The previous prime is 13442244341089. The next prime is 13442244341131. The reversal of 13442244341130 is 3114344224431.

13442244341130 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 2 + 443 + 41 + 130 = 666.

It is not an unprimeable number, because it can be changed into a prime (13442244341131) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22366462830 + ... + 22366463430.

It is an arithmetic number, because the mean of its divisors is an integer number (54007734690).

Almost surely, 213442244341130 is an apocalyptic number.

13442244341130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442244341130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738970120960).

13442244341130 is an abundant number, since it is smaller than the sum of its proper divisors (28035695900790).

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

13442244341130 is a wasteful number, since it uses less digits than its factorization.

13442244341130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13442244341130 its reverse (3114344224431), we get a palindrome (16556588565561).

The spelling of 13442244341130 in words is "thirteen trillion, four hundred forty-two billion, two hundred forty-four million, three hundred forty-one thousand, one hundred thirty".