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44042009823 = 3373192291093
BaseRepresentation
bin101001000001000110…
…111011110011011111
311012200100210220121000
4221001012323303133
51210144223303243
632122125041343
73116254623000
oct510106736337
9135610726530
1044042009823
1117750625929
1286516b6253
1341cb5c2556
1421bb3391a7
15122b7a95d3
hexa411bbcdf

44042009823 has 128 divisors (see below), whose sum is σ = 80518400000. Its totient is φ = 23716457856.

The previous prime is 44042009813. The next prime is 44042009831. The reversal of 44042009823 is 32890024044.

44042009823 is a `hidden beast` number, since 440 + 4 + 200 + 9 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 44042009823 - 225 = 44008455391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44042009813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40294065 + ... + 40295157.

It is an arithmetic number, because the mean of its divisors is an integer number (629050000).

Almost surely, 244042009823 is an apocalyptic number.

44042009823 is a deficient number, since it is larger than the sum of its proper divisors (36476390177).

44042009823 is a wasteful number, since it uses less digits than its factorization.

44042009823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44042009823 in words is "forty-four billion, forty-two million, nine thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 229 343 399 441 513 687 931 1029 1093 1197 1323 1603 2061 2793 3087 3279 3591 4351 4809 6183 6517 7651 8379 9261 9837 11221 13053 14427 19551 20767 22953 25137 29511 30457 33663 39159 43281 53557 58653 62301 68859 78547 91371 100989 117477 145369 160671 175959 186903 206577 213199 235641 250297 274113 302967 374899 436107 482013 560709 639597 706923 750891 822339 1017583 1124697 1308321 1446039 1492393 1752079 1918791 2120769 2252673 3052749 3374091 3924963 4477179 4755643 5256237 5756373 6758019 7123081 9158247 10122273 12264553 13431537 14266929 15768711 21369243 27474741 33289501 36793659 40294611 42800787 47306133 64107729 85851871 99868503 110380977 128402361 192323187 233026507 257555613 299605509 331142931 699079521 772666839 898816527 1631185549 2097238563 2318000517 4893556647 6291715689 14680669941 44042009823