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12140755340 = 2257359241559
BaseRepresentation
bin10110100111010010…
…10011100110001100
31011100002222021101012
423103221103212030
5144331013132330
65324414304352
7606600501110
oct132351234614
934302867335
1012140755340
11517015a1aa
122429ab80b8
1311b63778cc
148325bb740
154b0cc5c95
hex2d3a5398c

12140755340 has 48 divisors (see below), whose sum is σ = 29219097600. Its totient is φ = 4150932672.

The previous prime is 12140755307. The next prime is 12140755349. The reversal of 12140755340 is 4355704121.

12140755340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12140755297 and 12140755306.

It is not an unprimeable number, because it can be changed into a prime (12140755349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70520 + ... + 171039.

It is an arithmetic number, because the mean of its divisors is an integer number (608731200).

Almost surely, 212140755340 is an apocalyptic number.

12140755340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12140755340 is an abundant number, since it is smaller than the sum of its proper divisors (17078342260).

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

12140755340 is a wasteful number, since it uses less digits than its factorization.

12140755340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241934 (or 241932 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 12140755340 in words is "twelve billion, one hundred forty million, seven hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 359 718 1436 1795 2513 3590 5026 7180 10052 12565 25130 50260 241559 483118 966236 1207795 1690913 2415590 3381826 4831180 6763652 8454565 16909130 33818260 86719681 173439362 346878724 433598405 607037767 867196810 1214075534 1734393620 2428151068 3035188835 6070377670 12140755340