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12405142148 = 2271726061223
BaseRepresentation
bin10111000110110011…
…10111001010000100
31012000112110111220012
423203121313022010
5200401204022043
65410541125352
7616260653120
oct134331671204
935015414805
1012405142148
1152964199a3
1224a2559858
1312290867c9
14859760580
154c90eca18
hex2e3677284

12405142148 has 24 divisors (see below), whose sum is σ = 26269713792. Its totient is φ = 5003754624.

The previous prime is 12405142129. The next prime is 12405142151. The reversal of 12405142148 is 84124150421.

12405142148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 13030136 + ... + 13031087.

It is an arithmetic number, because the mean of its divisors is an integer number (1094571408).

Almost surely, 212405142148 is an apocalyptic number.

It is an amenable number.

12405142148 is an abundant number, since it is smaller than the sum of its proper divisors (13864571644).

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

12405142148 is a wasteful number, since it uses less digits than its factorization.

12405142148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26061251 (or 26061249 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 12405142148 its reverse (84124150421), we get a palindrome (96529292569).

The spelling of 12405142148 in words is "twelve billion, four hundred five million, one hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 26061223 52122446 104244892 182428561 364857122 443040791 729714244 886081582 1772163164 3101285537 6202571074 12405142148