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343143141113430 = 232578351971262711
BaseRepresentation
bin100111000000101100011110…
…1000010000111111001010110
31122222222011102111101211221100
41032001120331002013321112
5324434024123111112210
63213445441030530530
7132164162631301260
oct11601307502077126
91588864374354840
10343143141113430
119a377209487419
123259b533806a46
131196134aa82a58
1460a4306692b30
1529a0e1965b5c0
hex138163d087e56

343143141113430 has 192 divisors, whose sum is σ = 1032109352322048. Its totient is φ = 77472774017280.

The previous prime is 343143141113327. The next prime is 343143141113447. The reversal of 343143141113430 is 34311141341343.

343143141113430 is a `hidden beast` number, since 3 + 4 + 31 + 43 + 1 + 41 + 113 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271119775 + ... + 272382485.

It is an arithmetic number, because the mean of its divisors is an integer number (5375569543344).

Almost surely, 2343143141113430 is an apocalyptic number.

343143141113430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343143141113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516054676161024).

343143141113430 is an abundant number, since it is smaller than the sum of its proper divisors (688966211208618).

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

343143141113430 is a wasteful number, since it uses less digits than its factorization.

343143141113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268011 (or 1268008 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 343143141113430 its reverse (34311141341343), we get a palindrome (377454282454773).

The spelling of 343143141113430 in words is "three hundred forty-three trillion, one hundred forty-three billion, one hundred forty-one million, one hundred thirteen thousand, four hundred thirty".