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12140735424 = 26363232997
BaseRepresentation
bin10110100111010010…
…01110101111000000
31011100002221021001120
423103221032233000
5144331012013144
65324414032240
7606600356046
oct132351165700
934302837046
1012140735424
115170146244
122429aa8680
1311b636b81c
148325b4396
154b0cbee19
hex2d3a4ebc0

12140735424 has 28 divisors (see below), whose sum is σ = 32122362984. Its totient is φ = 4046911744.

The previous prime is 12140735423. The next prime is 12140735471. The reversal of 12140735424 is 42453704121.

12140735424 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 not an unprimeable number, because it can be changed into a prime (12140735423) 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 3 ways as a sum of consecutive naturals, for example, 31616307 + ... + 31616690.

Almost surely, 212140735424 is an apocalyptic number.

It is an amenable number.

12140735424 is an abundant number, since it is smaller than the sum of its proper divisors (19981627560).

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

12140735424 is an equidigital number, since it uses as much as digits as its factorization.

12140735424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63233012 (or 63233002 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 12140735424 in words is "twelve billion, one hundred forty million, seven hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 63232997 126465994 189698991 252931988 379397982 505863976 758795964 1011727952 1517591928 2023455904 3035183856 4046911808 6070367712 12140735424