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12423434140 = 225133179109179
BaseRepresentation
bin10111001000111111…
…01000111110011100
31012001210212211210101
423210133220332130
5200420344343030
65412433150444
7616602306415
oct134437507634
935053784711
1012423434140
1152a5782a47
1224a86bb424
13122cabc680
1485bd6280c
154caa127ca
hex2e47e8f9c

12423434140 has 192 divisors, whose sum is σ = 29804544000. Its totient is φ = 4318479360.

The previous prime is 12423434119. The next prime is 12423434147. The reversal of 12423434140 is 4143432421.

It is a junction number, because it is equal to n+sod(n) for n = 12423434099 and 12423434108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423434147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69404571 + ... + 69404749.

It is an arithmetic number, because the mean of its divisors is an integer number (155232000).

Almost surely, 212423434140 is an apocalyptic number.

12423434140 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 12423434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272000).

12423434140 is an abundant number, since it is smaller than the sum of its proper divisors (17381109860).

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

12423434140 is a wasteful number, since it uses less digits than its factorization.

12423434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12423434140 its reverse (4143432421), we get a palindrome (16566866561).

The spelling of 12423434140 in words is "twelve billion, four hundred twenty-three million, four hundred thirty-four thousand, one hundred forty".