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12144225114 = 2327139693401
BaseRepresentation
bin10110100111101101…
…00010101101011010
31011100100111120000100
423103312202231122
5144332410200424
65325020520230
7606642132060
oct132366425532
934310446010
1012144225114
11517210a08a
12242b0b0076
1311b6cc1028
14832c42030
154b125ddc9
hex2d3da2b5a

12144225114 has 48 divisors (see below), whose sum is σ = 30287799360. Its totient is φ = 3444811200.

The previous prime is 12144225113. The next prime is 12144225131. The reversal of 12144225114 is 41152244121.

12144225114 is a `hidden beast` number, since 1 + 2 + 144 + 2 + 2 + 511 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12144225113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329187 + ... + 364214.

It is an arithmetic number, because the mean of its divisors is an integer number (630995820).

Almost surely, 212144225114 is an apocalyptic number.

12144225114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12144225114 is an abundant number, since it is smaller than the sum of its proper divisors (18143574246).

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

12144225114 is a wasteful number, since it uses less digits than its factorization.

12144225114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693555 (or 693552 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 12144225114 its reverse (41152244121), we get a palindrome (53296469235).

The spelling of 12144225114 in words is "twelve billion, one hundred forty-four million, two hundred twenty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8757 17514 693401 1386802 2080203 4160406 4853807 6240609 9707614 12481218 14561421 29122842 43684263 87368526 96382739 192765478 289148217 578296434 674679173 867444651 1349358346 1734889302 2024037519 4048075038 6072112557 12144225114