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342123443712 = 2933292813037
BaseRepresentation
bin1001111101010000010…
…01010111011000000000
31012201002011121200102000
410332220021113120000
521101132100144322
6421100324424000
733501065201211
oct4765011273000
91181064550360
10342123443712
11122103845aa6
1256380548000
1326353ab9a2b
14127b773d408
158d757de3ac
hex4fa8257600

342123443712 has 320 divisors, whose sum is σ = 1051704561600. Its totient is φ = 109680721920.

The previous prime is 342123443699. The next prime is 342123443713. The reversal of 342123443712 is 217344321243.

342123443712 is a `hidden beast` number, since 3 + 4 + 212 + 3 + 4 + 437 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342123443713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112650258 + ... + 112653294.

It is an arithmetic number, because the mean of its divisors is an integer number (3286576755).

Almost surely, 2342123443712 is an apocalyptic number.

342123443712 is a gapful number since it is divisible by the number (32) 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 342123443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525852280800).

342123443712 is an abundant number, since it is smaller than the sum of its proper divisors (709581117888).

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

342123443712 is a wasteful number, since it uses less digits than its factorization.

342123443712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3352 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

Adding to 342123443712 its reverse (217344321243), we get a palindrome (559467764955).

The spelling of 342123443712 in words is "three hundred forty-two billion, one hundred twenty-three million, four hundred forty-three thousand, seven hundred twelve".