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44414004024 = 23331317930409
BaseRepresentation
bin101001010111010001…
…111110101100111000
311020122021210011201000
4221113101332230320
51211424441112044
632223054125000
73131422543125
oct512721765470
9136567704630
1044414004024
1117921602655
1287361b0760
13425a6a9770
1422148cd74c
15124e289d69
hexa5747eb38

44414004024 has 128 divisors (see below), whose sum is σ = 140677992000. Its totient is φ = 12861960192.

The previous prime is 44414004001. The next prime is 44414004029. The reversal of 44414004024 is 42040041444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414004029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417469 + ... + 512940.

Almost surely, 244414004024 is an apocalyptic number.

It is an amenable number.

44414004024 is an abundant number, since it is smaller than the sum of its proper divisors (96263987976).

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

44414004024 is a wasteful number, since it uses less digits than its factorization.

44414004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930454 (or 930444 counting only the distinct ones).

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

Adding to 44414004024 its reverse (42040041444), we get a palindrome (86454045468).

The spelling of 44414004024 in words is "forty-four billion, four hundred fourteen million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 930409 1860818 2791227 3721636 5582454 7443272 8373681 11164908 12095317 15816953 16747362 22329816 24190634 25121043 31633906 33494724 36285951 47450859 48381268 50242086 63267812 66989448 72571902 94901718 96762536 100484172 108857853 126535624 142352577 145143804 189803436 200968344 205620389 217715706 284705154 290287608 326573559 379606872 411240778 427057731 435431412 569410308 616861167 653147118 822481556 854115462 870862824 1138820616 1233722334 1306294236 1644963112 1708230924 1850583501 2467444668 2612588472 3416461848 3701167002 4934889336 5551750503 7402334004 11103501006 14804668008 22207002012 44414004024