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44040404331040 = 25513198710655899
BaseRepresentation
bin10100000001101111101001…
…01001111110101000100000
312202221012222111111101122211
422000313310221332220200
521233024222002043130
6233355514335211504
712163546163151265
oct1200676451765040
9182835874441584
1044040404331040
111303a481128667
124b333aa376b94
131b75cb9142490
14ac37d199726c
155158d2e2aa2a
hex280df4a7ea20

44040404331040 has 96 divisors (see below), whose sum is σ = 112105353326400. Its totient is φ = 16252887112704.

The previous prime is 44040404331019. The next prime is 44040404331067. The reversal of 44040404331040 is 4013340404044.

It is a junction number, because it is equal to n+sod(n) for n = 44040404330993 and 44040404331011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194990 + ... + 9460909.

It is an arithmetic number, because the mean of its divisors is an integer number (1167764097150).

Almost surely, 244040404331040 is an apocalyptic number.

44040404331040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44040404331040 is an abundant number, since it is smaller than the sum of its proper divisors (68064948995360).

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

44040404331040 is a wasteful number, since it uses less digits than its factorization.

44040404331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657914 (or 10657906 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 44040404331040 its reverse (4013340404044), we get a palindrome (48053744735084).

The spelling of 44040404331040 in words is "forty-four trillion, forty billion, four hundred four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1987 2080 3974 7948 9935 15896 19870 25831 31792 39740 51662 63584 79480 103324 129155 158960 206648 258310 317920 413296 516620 826592 1033240 2066480 4132960 10655899 21311798 42623596 53279495 85247192 106558990 138526687 170494384 213117980 277053374 340988768 426235960 554106748 692633435 852471920 1108213496 1385266870 1704943840 2216426992 2770533740 4432853984 5541067480 11082134960 21173271313 22164269920 42346542626 84693085252 105866356565 169386170504 211732713130 275252527069 338772341008 423465426260 550505054138 677544682016 846930852520 1101010108276 1376262635345 1693861705040 2202020216552 2752525270690 3387723410080 4404040433104 5505050541380 8808080866208 11010101082760 22020202165520 44040404331040