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44016530016 = 25317263102551
BaseRepresentation
bin101000111111100101…
…101111001001100000
311012121120212101212110
4220333211233021200
51210121212430031
632115414555320
73115525221564
oct507745571140
9135546771773
1044016530016
1117738202538
128645068b40
1341c6240b44
1421b7bc56a4
151229424c46
hexa3f96f260

44016530016 has 96 divisors (see below), whose sum is σ = 122806430208. Its totient is φ = 13756467200.

The previous prime is 44016529981. The next prime is 44016530027. The reversal of 44016530016 is 61003561044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377941 + ... + 480491.

It is an arithmetic number, because the mean of its divisors is an integer number (1279233648).

Almost surely, 244016530016 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 44016530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61403215104).

44016530016 is an abundant number, since it is smaller than the sum of its proper divisors (78789900192).

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

44016530016 is a wasteful number, since it uses less digits than its factorization.

44016530016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102844 (or 102836 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 44016530016 in words is "forty-four billion, sixteen million, five hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 263 272 408 526 544 789 816 1052 1578 1632 2104 3156 4208 4471 6312 8416 8942 12624 13413 17884 25248 26826 35768 53652 71536 102551 107304 143072 205102 214608 307653 410204 429216 615306 820408 1230612 1640816 1743367 2461224 3281632 3486734 4922448 5230101 6973468 9844896 10460202 13946936 20920404 26970913 27893872 41840808 53941826 55787744 80912739 83681616 107883652 161825478 167363232 215767304 323650956 431534608 458505521 647301912 863069216 917011042 1294603824 1375516563 1834022084 2589207648 2751033126 3668044168 5502066252 7336088336 11004132504 14672176672 22008265008 44016530016