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434024444441 = 71719918327961
BaseRepresentation
bin1100101000011011101…
…11110111001000011001
31112111021220120020021202
412110031313313020121
524102340224210231
6531215454043545
743233346623020
oct6241567671031
91474256506252
10434024444441
11158083536075
1270149aa95b5
1331c0b7031c3
1417014cc58b7
15b4539c55cb
hex650ddf7219

434024444441 has 16 divisors (see below), whose sum is σ = 527845305600. Its totient is φ = 348377863680.

The previous prime is 434024444429. The next prime is 434024444449. The reversal of 434024444441 is 144444420434.

It is not a de Polignac number, because 434024444441 - 26 = 434024444377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434024444395 and 434024444404.

It is not an unprimeable number, because it can be changed into a prime (434024444449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9140300 + ... + 9187661.

It is an arithmetic number, because the mean of its divisors is an integer number (32990331600).

Almost surely, 2434024444441 is an apocalyptic number.

It is an amenable number.

434024444441 is a deficient number, since it is larger than the sum of its proper divisors (93820861159).

434024444441 is a wasteful number, since it uses less digits than its factorization.

434024444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328184.

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 434024444441 its reverse (144444420434), we get a palindrome (578468864875).

The spelling of 434024444441 in words is "four hundred thirty-four billion, twenty-four million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 7 17 119 199 1393 3383 23681 18327961 128295727 311575337 2181027359 3647264239 25530849673 62003492063 434024444441