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12142424240 = 245197988437
BaseRepresentation
bin10110100111011111…
…01011000010110000
31011100020010001200022
423103233223002300
5144331430033430
65324514143012
7606620621522
oct132357530260
934306101608
1012142424240
11517109a061
12242a581a68
1311b681041b
148328d3a12
154b10054e5
hex2d3beb0b0

12142424240 has 40 divisors (see below), whose sum is σ = 29716989360. Its totient is φ = 4601339136.

The previous prime is 12142424227. The next prime is 12142424269. The reversal of 12142424240 is 4242424121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3992699 + ... + 3995738.

It is an arithmetic number, because the mean of its divisors is an integer number (742924734).

Almost surely, 212142424240 is an apocalyptic number.

12142424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142424240 is an abundant number, since it is smaller than the sum of its proper divisors (17574565120).

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

12142424240 is a wasteful number, since it uses less digits than its factorization.

12142424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7988469 (or 7988463 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12142424240 its reverse (4242424121), we get a palindrome (16384848361).

The spelling of 12142424240 in words is "twelve billion, one hundred forty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 7988437 15976874 31953748 39942185 63907496 79884370 127814992 151780303 159768740 303560606 319537480 607121212 639074960 758901515 1214242424 1517803030 2428484848 3035606060 6071212120 12142424240