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13444323300 = 2234522636311
BaseRepresentation
bin11001000010101100…
…00001011111100100
31021200221212101110000
430201112001133210
5210013221321200
610102022301300
7654106601562
oct144126013744
937627771400
1013444323300
115779a740a1
122732587830
1313634618b5
1491778aa32
1553a46d300
hex3215817e4

13444323300 has 180 divisors, whose sum is σ = 43753824576. Its totient is φ = 3570955200.

The previous prime is 13444323209. The next prime is 13444323311. The reversal of 13444323300 is 332344431.

13444323300 is a `hidden beast` number, since 1 + 34 + 4 + 4 + 323 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2127145 + ... + 2133455.

Almost surely, 213444323300 is an apocalyptic number.

13444323300 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 13444323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876912288).

13444323300 is an abundant number, since it is smaller than the sum of its proper divisors (30309501276).

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

13444323300 is a wasteful number, since it uses less digits than its factorization.

13444323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13444323300 its reverse (332344431), we get a palindrome (13776667731).

The spelling of 13444323300 in words is "thirteen billion, four hundred forty-four million, three hundred twenty-three thousand, three hundred".