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44241227646 = 237112910332059
BaseRepresentation
bin101001001100111110…
…111000111101111110
311020012020200020001220
4221030332320331332
51211101223241041
632154003014210
73124224141660
oct511476707576
9136166606056
1044241227646
1117843024160
1286a836a366
134230964815
1421d9996530
15123e00bd66
hexa4cfb8f7e

44241227646 has 128 divisors (see below), whose sum is σ = 115231334400. Its totient is φ = 10986917760.

The previous prime is 44241227629. The next prime is 44241227729. The reversal of 44241227646 is 64672214244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 44241227598 and 44241227607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363965 + ... + 1396023.

It is an arithmetic number, because the mean of its divisors is an integer number (900244800).

Almost surely, 244241227646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44241227646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615667200).

44241227646 is an abundant number, since it is smaller than the sum of its proper divisors (70990106754).

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

44241227646 is a wasteful number, since it uses less digits than its factorization.

44241227646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32214.

The product of its digits is 516096, while the sum is 42.

The spelling of 44241227646 in words is "forty-four billion, two hundred forty-one million, two hundred twenty-seven thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 103 154 174 203 206 231 309 319 406 462 609 618 638 721 957 1133 1218 1442 1914 2163 2233 2266 2987 3399 4326 4466 5974 6699 6798 7931 8961 13398 15862 17922 20909 23793 32059 32857 41818 47586 62727 64118 65714 96177 98571 125454 192354 197142 224413 229999 352649 448826 459998 673239 689997 705298 929711 1057947 1346478 1379994 1859422 2115894 2468543 2789133 3302077 4937086 5578266 6507977 6604154 7405629 9906231 10226821 13015954 14811258 19523931 19812462 20453642 23114539 30680463 36322847 39047862 46229078 61360926 69343617 71587747 72645694 95760233 108968541 138687234 143175494 191520466 214763241 217937082 254259929 287280699 429526482 508519858 574561398 670321631 762779787 1053362563 1340643262 1525559574 2010964893 2106725126 3160087689 4021929786 6320175378 7373537941 14747075882 22120613823 44241227646