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12240944592448 = 26111311311836423
BaseRepresentation
bin1011001000100001000100…
…1001110111011001000000
31121100020000110211121000211
42302020101021313121000
53101023423303424243
642011225020523504
72402244006162115
oct262102111673100
947306013747024
1012240944592448
11399a3a0113360
1214584636b0594
136aa41569b950
143046718b490c
15163635c65d9d
hexb2211277640

12240944592448 has 112 divisors (see below), whose sum is σ = 28789781440896. Its totient is φ = 5090608373760.

The previous prime is 12240944592439. The next prime is 12240944592491. The reversal of 12240944592448 is 84429544904221.

It is a junction number, because it is equal to n+sod(n) for n = 12240944592392 and 12240944592401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4884036 + ... + 6952387.

It is an arithmetic number, because the mean of its divisors is an integer number (257051620008).

Almost surely, 212240944592448 is an apocalyptic number.

It is an amenable number.

12240944592448 is an abundant number, since it is smaller than the sum of its proper divisors (16548836848448).

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

12240944592448 is a wasteful number, since it uses less digits than its factorization.

12240944592448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836572 (or 11836562 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 58.

The spelling of 12240944592448 in words is "twelve trillion, two hundred forty billion, nine hundred forty-four million, five hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 113 143 176 208 226 286 352 416 452 572 704 832 904 1144 1243 1469 1808 2288 2486 2938 3616 4576 4972 5876 7232 9152 9944 11752 16159 19888 23504 32318 39776 47008 64636 79552 94016 129272 258544 517088 1034176 11836423 23672846 47345692 94691384 130200653 153873499 189382768 260401306 307746998 378765536 520802612 615493996 757531072 1041605224 1230987992 1337515799 1692608489 2083210448 2461975984 2675031598 3385216978 4166420896 4923951968 5350063196 6770433956 8332841792 9847903936 10700126392 13540867912 14712673789 17387705387 21400252784 27081735824 29425347578 34775410774 42800505568 54163471648 58850695156 69550821548 85601011136 108326943296 117701390312 139101643096 191264759257 235402780624 278203286192 382529518514 470805561248 556406572384 765059037028 941611122496 1112813144768 1530118074056 3060236148112 6120472296224 12240944592448