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434431134433 = 975579380273
BaseRepresentation
bin1100101001001100001…
…11010000101011100001
31112112100020211020002001
412110212013100223201
524104203332300213
6531324102524001
743246415500102
oct6244607205341
91475306736061
10434431134433
111582720602aa
1270242136601
1331c74a4787a
1417052d0c3a9
15b47955b1dd
hex65261d0ae1

434431134433 has 8 divisors (see below), whose sum is σ = 438923140488. Its totient is φ = 429939400704.

The previous prime is 434431134427. The next prime is 434431134443. The reversal of 434431134433 is 334431134434.

It can be written as a sum of positive squares in 4 ways, for example, as 2505889 + 434428628544 = 1583^2 + 659112^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434431134433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434431134392 and 434431134401.

It is not an unprimeable number, because it can be changed into a prime (434431134443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5371785 + ... + 5452057.

It is an arithmetic number, because the mean of its divisors is an integer number (54865392561).

Almost surely, 2434431134433 is an apocalyptic number.

It is an amenable number.

434431134433 is a deficient number, since it is larger than the sum of its proper divisors (4492006055).

434431134433 is an equidigital number, since it uses as much as digits as its factorization.

434431134433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136163.

The product of its digits is 248832, while the sum is 37.

Adding to 434431134433 its reverse (334431134434), we get a palindrome (768862268867).

Subtracting from 434431134433 its reverse (334431134434), we obtain a palindrome (99999999999).

The spelling of 434431134433 in words is "four hundred thirty-four billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 97 55793 80273 5411921 7786481 4478671489 434431134433