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44022474336 = 2531995634093
BaseRepresentation
bin101000111111111100…
…011010011001100000
311012122000001101221110
4220333330122121200
51210124223134321
632120150223320
73115626600141
oct507774323140
9135560041843
1044022474336
11177405a25a5
128647054b40
1341c75426a9
1421b88d1ac8
151229beb176
hexa3ff1a660

44022474336 has 96 divisors (see below), whose sum is σ = 116374406400. Its totient is φ = 14570924544.

The previous prime is 44022474317. The next prime is 44022474341. The reversal of 44022474336 is 63347422044.

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

It is a junction number, because it is equal to n+sod(n) for n = 44022474294 and 44022474303.

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, 10753506 + ... + 10757598.

It is an arithmetic number, because the mean of its divisors is an integer number (1212233400).

Almost surely, 244022474336 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 44022474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58187203200).

44022474336 is an abundant number, since it is smaller than the sum of its proper divisors (72351932064).

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

44022474336 is a wasteful number, since it uses less digits than its factorization.

44022474336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

The spelling of 44022474336 in words is "forty-four billion, twenty-two million, four hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 563 597 796 1126 1194 1592 1689 2252 2388 3184 3378 4093 4504 4776 6368 6756 8186 9008 9552 12279 13512 16372 18016 19104 24558 27024 32744 49116 54048 65488 98232 112037 130976 196464 224074 336111 392928 448148 672222 814507 896296 1344444 1629014 1792592 2304359 2443521 2688888 3258028 3585184 4608718 4887042 5377776 6516056 6913077 9217436 9774084 10755552 13032112 13826154 18434872 19548168 26064224 27652308 36869744 39096336 55304616 73739488 78192672 110609232 221218464 458567441 917134882 1375702323 1834269764 2751404646 3668539528 5502809292 7337079056 11005618584 14674158112 22011237168 44022474336