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44024416016 = 247737197489
BaseRepresentation
bin101001000000000011…
…110100011100010000
311012122010201001102112
4221000003310130100
51210130222303031
632120300004452
73115652235050
oct510003643420
9135563631375
1044024416016
11177416a9399
128647830728
1341c7a72409
1421b8c79560
151229e8162b
hexa400f4710

44024416016 has 80 divisors (see below), whose sum is σ = 98968665600. Its totient is φ = 18580783104.

The previous prime is 44024415977. The next prime is 44024416039. The reversal of 44024416016 is 61061442044.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5874800 + ... + 5882288.

It is an arithmetic number, because the mean of its divisors is an integer number (1237108320).

Almost surely, 244024416016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44024416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49484332800).

44024416016 is an abundant number, since it is smaller than the sum of its proper divisors (54944249584).

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

44024416016 is a wasteful number, since it uses less digits than its factorization.

44024416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 44024416016 in words is "forty-four billion, twenty-four million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 719 1022 1168 1438 2044 2876 4088 5033 5752 7489 8176 10066 11504 14978 20132 29956 40264 52423 52487 59912 80528 104846 104974 119824 209692 209948 367409 419384 419896 546697 734818 838768 839792 1093394 1469636 2186788 2939272 3826879 4373576 5384591 5878544 7653758 8747152 10769182 15307516 21538364 30615032 37692137 43076728 61230064 75384274 86153456 150768548 301537096 393075143 603074192 786150286 1572300572 2751526001 3144601144 5503052002 6289202288 11006104004 22012208008 44024416016