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244439090064 = 24341319972907
BaseRepresentation
bin1110001110100110110…
…1001000001110010000
3212100221101021100210000
43203221231020032100
513001102401340224
6304143242010000
723442266661231
oct3435155101620
9770841240700
10244439090064
1194736548314
123b45a1a6900
131a086c70040
14bb8c061088
156559a170c9
hex38e9b48390

244439090064 has 200 divisors, whose sum is σ = 765738142400. Its totient is φ = 74833051392.

The previous prime is 244439090033. The next prime is 244439090069. The reversal of 244439090064 is 460090934442.

It is not an unprimeable number, because it can be changed into a prime (244439090069) by changing a digit.

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, 3316299 + ... + 3389205.

It is an arithmetic number, because the mean of its divisors is an integer number (3828690712).

Almost surely, 2244439090064 is an apocalyptic number.

244439090064 is a gapful number since it is divisible by the number (24) 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 244439090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382869071200).

244439090064 is an abundant number, since it is smaller than the sum of its proper divisors (521299052336).

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

244439090064 is a wasteful number, since it uses less digits than its factorization.

244439090064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73139 (or 73124 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 244439090064 in words is "two hundred forty-four billion, four hundred thirty-nine million, ninety thousand, sixty-four".