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12342400040 = 235308560001
BaseRepresentation
bin10110111111010101…
…00001010000101000
31011212011101212220102
423133222201100220
5200234123300130
65400420244532
7614566445405
oct133752412050
934764355812
1012342400040
115263a65913
122485540748
1312190896b9
148512ab2ac
154c3857645
hex2dfaa1428

12342400040 has 16 divisors (see below), whose sum is σ = 27770400180. Its totient is φ = 4936960000.

The previous prime is 12342400013. The next prime is 12342400051. The reversal of 12342400040 is 4000424321.

It can be written as a sum of positive squares in 2 ways, for example, as 12045940516 + 296459524 = 109754^2 + 17218^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12342399985 and 12342400021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154279961 + ... + 154280040.

Almost surely, 212342400040 is an apocalyptic number.

12342400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342400040 is an abundant number, since it is smaller than the sum of its proper divisors (15428000140).

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

12342400040 is a wasteful number, since it uses less digits than its factorization.

12342400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308560012 (or 308560008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12342400040 its reverse (4000424321), we get a palindrome (16342824361).

The spelling of 12342400040 in words is "twelve billion, three hundred forty-two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 308560001 617120002 1234240004 1542800005 2468480008 3085600010 6171200020 12342400040