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12043042340 = 2257416013491
BaseRepresentation
bin10110011011101001…
…00011111000100100
31011002022002221100012
423031310203320210
5144131004323330
65311004105352
7604303112420
oct131564437044
934068087305
1012043042340
11511aa8aa5a
122401235258
13119c055074
14823623b80
154a7423c95
hex2cdd23e24

12043042340 has 96 divisors (see below), whose sum is σ = 29666020608. Its totient is φ = 4020480000.

The previous prime is 12043042331. The next prime is 12043042373. The reversal of 12043042340 is 4324034021.

12043042340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3447995 + ... + 3451485.

It is an arithmetic number, because the mean of its divisors is an integer number (309021048).

Almost surely, 212043042340 is an apocalyptic number.

12043042340 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 12043042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833010304).

12043042340 is an abundant number, since it is smaller than the sum of its proper divisors (17622978268).

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

12043042340 is a wasteful number, since it uses less digits than its factorization.

12043042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 12043042340 its reverse (4324034021), we get a palindrome (16367076361).

The spelling of 12043042340 in words is "twelve billion, forty-three million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 601 820 1148 1202 1435 2404 2870 3005 3491 4207 5740 6010 6982 8414 12020 13964 16828 17455 21035 24437 24641 34910 42070 48874 49282 69820 84140 97748 98564 122185 123205 143131 172487 244370 246410 286262 344974 488740 492820 572524 689948 715655 862435 1001917 1431310 1724870 2003834 2098091 2862620 3449740 4007668 4196182 5009585 8392364 10019170 10490455 14686637 20038340 20980910 29373274 41961820 58746548 73433185 86021731 146866370 172043462 293732740 344086924 430108655 602152117 860217310 1204304234 1720434620 2408608468 3010760585 6021521170 12043042340