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12424441134114 = 2323474638215233
BaseRepresentation
bin1011010011001100101001…
…1001100111110000100010
31121222202122122221201201200
42310303022121213300202
53112030223412242424
642231413124342030
72421431143066212
oct264631231476042
947882578851650
1012424441134114
113a601a312aa99
121487b34244916
136c180983b659
1430d4bbc0c242
151682c53e68c9
hexb4cca667c22

12424441134114 has 96 divisors (see below), whose sum is σ = 27093640713984. Its totient is φ = 4114820666880.

The previous prime is 12424441134107. The next prime is 12424441134167. The reversal of 12424441134114 is 41143114442421.

12424441134114 is a `hidden beast` number, since 1 + 2 + 424 + 4 + 4 + 113 + 4 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374245642 + ... + 2374250874.

It is an arithmetic number, because the mean of its divisors is an integer number (282225424104).

Almost surely, 212424441134114 is an apocalyptic number.

12424441134114 is an abundant number, since it is smaller than the sum of its proper divisors (14669199579870).

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

12424441134114 is a wasteful number, since it uses less digits than its factorization.

12424441134114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6869 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 12424441134114 its reverse (41143114442421), we get a palindrome (53567555576535).

The spelling of 12424441134114 in words is "twelve trillion, four hundred twenty-four billion, four hundred forty-one million, one hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 347 463 694 821 926 1041 1389 1642 2082 2463 2778 3123 4167 4926 5233 6246 7389 8334 10466 14778 15699 31398 47097 94194 160661 284887 321322 380123 481983 569774 760246 854661 963966 1140369 1445949 1709322 1815851 2280738 2422879 2563983 2891898 3421107 3631702 4296293 4845758 5127966 5447553 6842214 7268637 8592586 10895106 12888879 14537274 16342659 21805911 25777758 32685318 38666637 43611822 77333274 131902681 263805362 395708043 791416086 840739013 1187124129 1490813671 1681478026 1989183659 2374248258 2522217039 2981627342 3978367318 4472441013 5044434078 5967550977 7566651117 8944882026 11935101954 13417323039 15133302234 17902652931 26834646078 35805305862 690246729673 1380493459346 2070740189019 4141480378038 6212220567057 12424441134114