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44024104422 = 237101227439
BaseRepresentation
bin101001000000000010…
…101000010111100110
311012122010010020000000
4221000002220113212
51210130132320142
632120245202130
73115646466444
oct510002502746
9135563106000
1044024104422
1117741506281
128647700346
1341c799363c
1421b8bd7b94
151229e1e14c
hexa400a85e6

44024104422 has 128 divisors (see below), whose sum is σ = 100689177600. Its totient is φ = 14432450400.

The previous prime is 44024104409. The next prime is 44024104441. The reversal of 44024104422 is 22440142044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100282479 + ... + 100282917.

It is an arithmetic number, because the mean of its divisors is an integer number (786634200).

Almost surely, 244024104422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44024104422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50344588800).

44024104422 is an abundant number, since it is smaller than the sum of its proper divisors (56665073178).

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

44024104422 is a wasteful number, since it uses less digits than its factorization.

44024104422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

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

Adding to 44024104422 its reverse (22440142044), we get a palindrome (66464246466).

The spelling of 44024104422 in words is "forty-four billion, twenty-four million, one hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 227 243 303 439 454 486 606 681 729 878 909 1317 1362 1458 1818 2043 2187 2634 2727 3951 4086 4374 5454 6129 7902 8181 11853 12258 16362 18387 22927 23706 24543 35559 36774 44339 45854 49086 55161 68781 71118 73629 88678 99653 106677 110322 133017 137562 147258 165483 199306 206343 213354 220887 266034 298959 320031 330966 399051 412686 441774 496449 597918 619029 640062 798102 896877 960093 992898 1197153 1238058 1793754 1857087 1920186 2394306 2690631 3591459 3714174 5381262 5571261 7182918 8071893 10064953 10774377 11142522 16143786 16713783 20129906 21548754 24215679 30194859 32323131 33427566 48431358 50141349 60389718 64646262 72647037 90584577 96969393 100282698 145294074 181169154 193938786 217941111 271753731 435882222 543507462 815261193 1630522386 2445783579 4891567158 7337350737 14674701474 22012052211 44024104422