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434224344001 = 7712103141543
BaseRepresentation
bin1100101000110011100…
…10011010101111000001
31112111210211201011221011
412110121302122233001
524103242413002001
6531251354400521
743241325011410
oct6243162325701
91474724634834
10434224344001
1115817635a618
12701a4a30141
1331c40c53876
141703367d477
15b46630ed51
hex6519c9abc1

434224344001 has 16 divisors (see below), whose sum is σ = 503281963008. Its totient is φ = 366923869200.

The previous prime is 434224343981. The next prime is 434224344089. The reversal of 434224344001 is 100443422434.

It is not a de Polignac number, because 434224344001 - 29 = 434224343489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434224344601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10431636 + ... + 10473178.

It is an arithmetic number, because the mean of its divisors is an integer number (31455122688).

Almost surely, 2434224344001 is an apocalyptic number.

It is an amenable number.

434224344001 is a deficient number, since it is larger than the sum of its proper divisors (69057619007).

434224344001 is a wasteful number, since it uses less digits than its factorization.

434224344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62652.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 434224344001 its reverse (100443422434), we get a palindrome (534667766435).

The spelling of 434224344001 in words is "four hundred thirty-four billion, two hundred twenty-four million, three hundred forty-four thousand, one".

Divisors: 1 7 71 497 21031 41543 147217 290801 1493201 2949553 10452407 20646871 873690833 6115835831 62032049143 434224344001