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10442561221246 = 27112937480113163
BaseRepresentation
bin1001011111110101100100…
…1001101111001001111110
31100222022002001020200100211
42113331121021233021332
52332042331133034441
634113125115543034
72125310254556410
oct227753111571176
940868061220324
1010442561221246
113366735632930
121207a0875aa7a
135a996336233b
142815cbac89b0
1513197d0e3a81
hex97f5926f27e

10442561221246 has 128 divisors (see below), whose sum is σ = 20754265512960. Its totient is φ = 3820981248000.

The previous prime is 10442561221223. The next prime is 10442561221277. The reversal of 10442561221246 is 64212216524401.

It is a junction number, because it is equal to n+sod(n) for n = 10442561221199 and 10442561221208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 793320261 + ... + 793333423.

It is an arithmetic number, because the mean of its divisors is an integer number (162142699320).

Almost surely, 210442561221246 is an apocalyptic number.

10442561221246 is a deficient number, since it is larger than the sum of its proper divisors (10311704291714).

10442561221246 is a wasteful number, since it uses less digits than its factorization.

10442561221246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18050.

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 10442561221246 its reverse (64212216524401), we get a palindrome (74654777745647).

The spelling of 10442561221246 in words is "ten trillion, four hundred forty-two billion, five hundred sixty-one million, two hundred twenty-one thousand, two hundred forty-six".

Divisors: 1 2 7 11 14 22 29 37 58 74 77 154 203 259 319 406 407 518 638 814 1073 2146 2233 2849 4466 4801 5698 7511 9602 11803 13163 15022 23606 26326 33607 52811 67214 82621 92141 105622 139229 144793 165242 177637 184282 278458 289586 355274 369677 381727 487031 739354 763454 974062 974603 1013551 1243459 1531519 1949206 1954007 2027102 2486918 2672089 3063038 3409217 3908014 4198997 5151473 5344178 5357341 6818434 8397994 10302946 10714682 10720633 13678049 14123899 21441266 27356098 28247798 29392979 36060311 37501387 56666203 58785958 63195563 72120622 75002774 98867293 113332406 126391126 155362889 197734586 310725778 396663421 442368941 695151193 793326842 884737882 1087540223 1390302386 1832671327 2175080446 2338235831 3665342654 4676471662 4866058351 9732116702 12828699289 16367650817 20159384597 25657398578 25720594141 32735301634 40318769194 51441188282 67808839099 135617678198 141115692179 180044158987 282231384358 360088317974 474661873693 745897230089 949323747386 1491794460178 5221280610623 10442561221246