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12443127240 = 2335103692727
BaseRepresentation
bin10111001011010101…
…10000110111001000
31012010011221100122110
423211222300313020
5200440420032430
65414415222320
7620231556615
oct134552606710
935104840573
1012443127240
115305903735
1224b32179a0
131233bc61ab
1486080b50c
154cc6027b0
hex2e5ab0dc8

12443127240 has 32 divisors (see below), whose sum is σ = 37329382080. Its totient is φ = 3318167232.

The previous prime is 12443127211. The next prime is 12443127287. The reversal of 12443127240 is 4272134421.

12443127240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12443127198 and 12443127207.

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, 51846244 + ... + 51846483.

It is an arithmetic number, because the mean of its divisors is an integer number (1166543190).

Almost surely, 212443127240 is an apocalyptic number.

12443127240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12443127240 is an abundant number, since it is smaller than the sum of its proper divisors (24886254840).

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

12443127240 is a wasteful number, since it uses less digits than its factorization.

12443127240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103692741 (or 103692737 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 12443127240 in words is "twelve billion, four hundred forty-three million, one hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103692727 207385454 311078181 414770908 518463635 622156362 829541816 1036927270 1244312724 1555390905 2073854540 2488625448 3110781810 4147709080 6221563620 12443127240