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343130402430144 = 2632790217943301
BaseRepresentation
bin100111000000100110100010…
…1101111111001110011000000
31122222220221112201022200121200
41032001031011233321303000
5324433322031010231034
63213435533012421200
7132163232150261040
oct11601150557716300
91588827481280550
10343130402430144
119a37187186509a
1232598b79617800
131196009a886734
1460a385890b720
1529a0921126a99
hex1381345bf9cc0

343130402430144 has 168 divisors, whose sum is σ = 1124038044393888. Its totient is φ = 98036067225600.

The previous prime is 343130402430139. The next prime is 343130402430203. The reversal of 343130402430144 is 441034204031343.

343130402430144 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 304 + 0 + 2 + 4 + 301 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 343130402430099 and 343130402430108.

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 23 ways as a sum of consecutive naturals, for example, 363283294 + ... + 364226594.

Almost surely, 2343130402430144 is an apocalyptic number.

It is an amenable number.

343130402430144 is an abundant number, since it is smaller than the sum of its proper divisors (780907641963744).

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

343130402430144 is a wasteful number, since it uses less digits than its factorization.

343130402430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033543 (or 1033530 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 343130402430144 its reverse (441034204031343), we get a palindrome (784164606461487).

The spelling of 343130402430144 in words is "three hundred forty-three trillion, one hundred thirty billion, four hundred two million, four hundred thirty thousand, one hundred forty-four".