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12240442144134 = 233627736111973
BaseRepresentation
bin1011001000011111001100…
…1101001011010110000110
31121100011201110101120112000
42302013303031023112012
53101021411142103014
642011103111410130
72402225365350201
oct262076315132606
947304643346460
1012240442144134
11399a162534516
121458343383946
136aa36556a359
14304624c82938
15163606ab7509
hexb21f334b586

12240442144134 has 32 divisors (see below), whose sum is σ = 27205316732640. Its totient is φ = 4079497252896.

The previous prime is 12240442144103. The next prime is 12240442144153. The reversal of 12240442144134 is 43144124404221.

12240442144134 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 442 + 1 + 44 + 134 = 666.

12240442144134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 17717029 + ... + 18394944.

It is an arithmetic number, because the mean of its divisors is an integer number (850166147895).

Almost surely, 212240442144134 is an apocalyptic number.

12240442144134 is an abundant number, since it is smaller than the sum of its proper divisors (14964874588506).

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

12240442144134 is a wasteful number, since it uses less digits than its factorization.

12240442144134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36118261 (or 36118255 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 12240442144134 its reverse (43144124404221), we get a palindrome (55384566548355).

The spelling of 12240442144134 in words is "twelve trillion, two hundred forty billion, four hundred forty-two million, one hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 6277 12554 18831 37662 56493 112986 169479 338958 36111973 72223946 108335919 216671838 325007757 650015514 975023271 1950046542 226674854521 453349709042 680024563563 1360049127126 2040073690689 4080147381378 6120221072067 12240442144134