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12431044440 = 23325731992377
BaseRepresentation
bin10111001001111001…
…01010111101011000
31012002100012111011100
423210330222331120
5200424321410230
65413304231400
7620024064033
oct134474527530
935070174140
1012431044440
1152aa000751
1224ab16b560
1312315555c9
1485cd8401a
154cb517660
hex2e4f2af58

12431044440 has 192 divisors, whose sum is σ = 41177448000. Its totient is φ = 3251736576.

The previous prime is 12431044403. The next prime is 12431044469. The reversal of 12431044440 is 4444013421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5228532 + ... + 5230908.

It is an arithmetic number, because the mean of its divisors is an integer number (214465875).

Almost surely, 212431044440 is an apocalyptic number.

12431044440 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 12431044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20588724000).

12431044440 is an abundant number, since it is smaller than the sum of its proper divisors (28746403560).

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

12431044440 is a wasteful number, since it uses less digits than its factorization.

12431044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12431044440 its reverse (4444013421), we get a palindrome (16875057861).

The spelling of 12431044440 in words is "twelve billion, four hundred thirty-one million, forty-four thousand, four hundred forty".