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12140043540 = 223519231932399
BaseRepresentation
bin10110100111001101…
…00101110100010100
31011100001122002222020
423103212211310110
5144330322343130
65324351133140
7606561444642
oct132346456424
934301562866
1012140043540
11516a813439
1224298141b0
1311b6188921
14832474192
154b0bd4e10
hex2d39a5d14

12140043540 has 192 divisors, whose sum is σ = 37545984000. Its totient is φ = 2917195776.

The previous prime is 12140043533. The next prime is 12140043541. The reversal of 12140043540 is 4534004121.

12140043540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12140043540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140043541) 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 63 ways as a sum of consecutive naturals, for example, 5059261 + ... + 5061659.

It is an arithmetic number, because the mean of its divisors is an integer number (195552000).

Almost surely, 212140043540 is an apocalyptic number.

12140043540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140043540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772992000).

12140043540 is an abundant number, since it is smaller than the sum of its proper divisors (25405940460).

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

12140043540 is a wasteful number, since it uses less digits than its factorization.

12140043540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12140043540 its reverse (4534004121), we get a palindrome (16674047661).

The spelling of 12140043540 in words is "twelve billion, one hundred forty million, forty-three thousand, five hundred forty".