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434012330142 = 233192151283521
BaseRepresentation
bin1100101000011010010…
…01101001100010011110
31112111021001202202121000
412110031021221202132
524102324124031032
6531214342251130
743233141636246
oct6241511514236
91474231682530
10434012330142
11158077711456
1270145a26aa6
1331c09051191
1417013450b26
15b4528d0e7c
hex650d26989e

434012330142 has 192 divisors, whose sum is σ = 1030240581120. Its totient is φ = 135407376000.

The previous prime is 434012330111. The next prime is 434012330179. The reversal of 434012330142 is 241033210434.

434012330142 is a `hidden beast` number, since 4 + 340 + 12 + 3 + 301 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 833036842 + ... + 833037362.

It is an arithmetic number, because the mean of its divisors is an integer number (5365836360).

Almost surely, 2434012330142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434012330142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515120290560).

434012330142 is an abundant number, since it is smaller than the sum of its proper divisors (596228250978).

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

434012330142 is a wasteful number, since it uses less digits than its factorization.

434012330142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434012330142 its reverse (241033210434), we get a palindrome (675045540576).

The spelling of 434012330142 in words is "four hundred thirty-four billion, twelve million, three hundred thirty thousand, one hundred forty-two".