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244010000000 = 2757131877
BaseRepresentation
bin1110001101000000100…
…0010001111010000000
3212022211110212022212102
43203100020101322000
512444213030000000
6304032513045532
723425536530624
oct3432010217200
9768743768772
10244010000000
1194536313628
123b35a5568a8
131a0190b49b0
14bb4b087184
1565320093d5
hex38d0211e80

244010000000 has 256 divisors, whose sum is σ = 654730745760. Its totient is φ = 90048000000.

The previous prime is 244009999901. The next prime is 244010000011. The reversal of 244010000000 is 10442.

It can be written as a sum of positive squares in 16 ways, for example, as 230714987584 + 13295012416 = 480328^2 + 115304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129999062 + ... + 130000938.

Almost surely, 2244010000000 is an apocalyptic number.

244010000000 is a gapful number since it is divisible by the number (20) 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 244010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327365372880).

244010000000 is an abundant number, since it is smaller than the sum of its proper divisors (410720745760).

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

244010000000 is an frugal number, since it uses more digits than its factorization.

244010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 244010000000 its reverse (10442), we get a palindrome (244010010442).

The spelling of 244010000000 in words is "two hundred forty-four billion, ten million", and thus it is an aban number.