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12342220432 = 2429163716249
BaseRepresentation
bin10110111111010011…
…10101011010010000
31011212011001202112021
423133221311122100
5200234102023212
65400412341224
7614565066643
oct133751653220
934764052467
1012342220432
115263952983
122485474814
131219025a19
14851261a5a
154c381e307
hex2dfa75690

12342220432 has 40 divisors (see below), whose sum is σ = 24754275000. Its totient is φ = 5954307072.

The previous prime is 12342220421. The next prime is 12342220459. The reversal of 12342220432 is 23402224321.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 12072735376 = 16416^2 + 109876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12342220397 and 12342220406.

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 7 ways as a sum of consecutive naturals, for example, 751444 + ... + 767692.

It is an arithmetic number, because the mean of its divisors is an integer number (618856875).

Almost surely, 212342220432 is an apocalyptic number.

It is an amenable number.

12342220432 is an abundant number, since it is smaller than the sum of its proper divisors (12412054568).

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

12342220432 is a wasteful number, since it uses less digits than its factorization.

12342220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17923 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12342220432 its reverse (23402224321), we get a palindrome (35744444753).

The spelling of 12342220432 in words is "twelve billion, three hundred forty-two million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 1637 3274 6548 13096 16249 26192 32498 47473 64996 94946 129992 189892 259984 379784 471221 759568 942442 1884884 3769768 7539536 26599613 53199226 106398452 212796904 425593808 771388777 1542777554 3085555108 6171110216 12342220432