Search a number
-
+
12240090755856 = 2432431976758843
BaseRepresentation
bin1011001000011101111001…
…0000101111001100010000
31121100010210222012012102100
42302013132100233030100
53101020201213141411
642011004200120400
72402213600531445
oct262073620571420
947303728165370
1012240090755856
113999aa2151287
121458265766100
136aa30a8192b2
143045d03339cc
151635d5d07456
hexb21de42f310

12240090755856 has 60 divisors (see below), whose sum is σ = 35051887821808. Its totient is φ = 3985145825472.

The previous prime is 12240090755839. The next prime is 12240090755861. The reversal of 12240090755856 is 65855709004221.

12240090755856 is a `hidden beast` number, since 1 + 2 + 2 + 400 + 90 + 75 + 5 + 85 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988373230 + ... + 988385613.

Almost surely, 212240090755856 is an apocalyptic number.

12240090755856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12240090755856 is an abundant number, since it is smaller than the sum of its proper divisors (22811797065952).

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

12240090755856 is a wasteful number, since it uses less digits than its factorization.

12240090755856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976758900 (or 1976758891 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 12240090755856 in words is "twelve trillion, two hundred forty billion, ninety million, seven hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 1976758843 3953517686 5930276529 7907035372 11860553058 15814070744 17790829587 23721106116 31628141488 35581659174 47442212232 71163318348 85000630249 94884424464 142326636696 170001260498 255001890747 284653273392 340002520996 510003781494 680005041992 765005672241 1020007562988 1360010083984 1530011344482 2040015125976 3060022688964 4080030251952 6120045377928 12240090755856