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12343740444 = 2233767379643
BaseRepresentation
bin10110111111011111…
…01000100000011100
31011212020220222121000
423133233220200130
5200234444143234
65400505110300
7614614030320
oct133757504034
934766828530
1012343740444
1152647a0992
122485a88390
131219438839
14851539980
154c3a1e899
hex2dfbe881c

12343740444 has 192 divisors, whose sum is σ = 37275750400. Its totient is φ = 3459589056.

The previous prime is 12343740421. The next prime is 12343740449. The reversal of 12343740444 is 44404734321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12343740399 and 12343740408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343740449) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19196787 + ... + 19197429.

Almost surely, 212343740444 is an apocalyptic number.

12343740444 is a gapful number since it is divisible by the number (14) 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 12343740444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637875200).

12343740444 is an abundant number, since it is smaller than the sum of its proper divisors (24932009956).

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

12343740444 is a wasteful number, since it uses less digits than its factorization.

12343740444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 12343740444 in words is "twelve billion, three hundred forty-three million, seven hundred forty thousand, four hundred forty-four".