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4244443120000 = 27543110691601
BaseRepresentation
bin111101110000111100100…
…001100100000110000000
3120000202122112112210202001
4331300330201210012000
51024020104414320000
613005511550233344
7615436154150416
oct75607441440600
916022575483661
104244443120000
111397070541706
125867274b5854
1324a331849b45
14109609b2d2b6
157561b01b46a
hex3dc3c864180

4244443120000 has 320 divisors, whose sum is σ = 10924145654400. Its totient is φ = 1640448000000.

The previous prime is 4244443119989. The next prime is 4244443120033. The reversal of 4244443120000 is 213444424.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2651119200 + ... + 2651120800.

It is an arithmetic number, because the mean of its divisors is an integer number (34137955170).

Almost surely, 24244443120000 is an apocalyptic number.

4244443120000 is a gapful number since it is divisible by the number (40) 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 4244443120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462072827200).

4244443120000 is an abundant number, since it is smaller than the sum of its proper divisors (6679702534400).

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

4244443120000 is a wasteful number, since it uses less digits than its factorization.

4244443120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4244443120000 its reverse (213444424), we get a palindrome (4244656564424).

The spelling of 4244443120000 in words is "four trillion, two hundred forty-four billion, four hundred forty-three million, one hundred twenty thousand".