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244241424000 = 2732537337719
BaseRepresentation
bin1110001101110111101…
…1000101111010000000
3212100102121022212220200
43203131323011322000
513000201301032000
6304111501205200
723434346564310
oct3433573057200
9770377285820
10244241424000
1194644a09932
123b403b60800
131a055022182
14bb6dac9440
1565474be500
hex38ddec5e80

244241424000 has 768 divisors, whose sum is σ = 1006809523200. Its totient is φ = 55583539200.

The previous prime is 244241423989. The next prime is 244241424071. The reversal of 244241424000 is 424142442.

244241424000 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 414 + 240 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339695641 + ... + 339696359.

It is an arithmetic number, because the mean of its divisors is an integer number (1310949900).

Almost surely, 2244241424000 is an apocalyptic number.

244241424000 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 244241424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503404761600).

244241424000 is an abundant number, since it is smaller than the sum of its proper divisors (762568099200).

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

244241424000 is a wasteful number, since it uses less digits than its factorization.

244241424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 244241424000 its reverse (424142442), we get a palindrome (244665566442).

The spelling of 244241424000 in words is "two hundred forty-four billion, two hundred forty-one million, four hundred twenty-four thousand".