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434002244442344 = 2371106017629493
BaseRepresentation
bin110001010101110010000010…
…1100111001001100011101000
32002220200012122121222001122022
41202223210011213021203220
5423341143044034123334
64135013513442244012
7160262425126643444
oct14253440547114350
92086605577861568
10434002244442344
11116317355633046
1240814661656608
131582230b777906
147925b6c05d824
1535295dae5c82e
hex18ab9059c98e8

434002244442344 has 16 divisors (see below), whose sum is σ = 813754429430820. Its totient is φ = 217001063260800.

The previous prime is 434002244442331. The next prime is 434002244442367. The reversal of 434002244442344 is 443244442200434.

It can be written as a sum of positive squares in 2 ways, for example, as 384659178052900 + 49343066389444 = 19612730^2 + 7024462^2 .

It is a super-3 number, since 3×4340022444423443 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 434002244442295 and 434002244442304.

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, 53070062 + ... + 60699554.

Almost surely, 2434002244442344 is an apocalyptic number.

It is an amenable number.

434002244442344 is a deficient number, since it is larger than the sum of its proper divisors (379752184988476).

434002244442344 is a wasteful number, since it uses less digits than its factorization.

434002244442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14740100 (or 14740096 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 44.

Adding to 434002244442344 its reverse (443244442200434), we get a palindrome (877246686642778).

The spelling of 434002244442344 in words is "four hundred thirty-four trillion, two billion, two hundred forty-four million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 7110601 7629493 14221202 15258986 28442404 30517972 56884808 61035944 54250280555293 108500561110586 217001122221172 434002244442344