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12442434140 = 2252801222107
BaseRepresentation
bin10111001011010000…
…00111101001011100
31012010010122010220002
423211220013221130
5200440230343030
65414352313432
7620222642123
oct134550075134
935103563802
1012442434140
11530547aa24
1224b2b42878
131233a12886
148606aaaba
154cc517245
hex2e5a07a5c

12442434140 has 24 divisors (see below), whose sum is σ = 26138557872. Its totient is φ = 4975174400.

The previous prime is 12442434101. The next prime is 12442434143. The reversal of 12442434140 is 4143424421.

12442434140 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 (12442434143) 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 7 ways as a sum of consecutive naturals, for example, 55034 + ... + 167073.

It is an arithmetic number, because the mean of its divisors is an integer number (1089106578).

Almost surely, 212442434140 is an apocalyptic number.

12442434140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442434140 is an abundant number, since it is smaller than the sum of its proper divisors (13696123732).

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

12442434140 is a wasteful number, since it uses less digits than its factorization.

12442434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224917 (or 224915 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 12442434140 its reverse (4143424421), we get a palindrome (16585858561).

The spelling of 12442434140 in words is "twelve billion, four hundred forty-two million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2801 5602 11204 14005 28010 56020 222107 444214 888428 1110535 2221070 4442140 622121707 1244243414 2488486828 3110608535 6221217070 12442434140