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434431144131 = 3320345210859
BaseRepresentation
bin1100101001001100001…
…11010011000011000011
31112112100020211201101020
412110212013103003003
524104203333103011
6531324103040523
743246415540265
oct6244607230303
91475306751336
10434431144131
11158272067616
1270242140143
1331c74a4c0ca
1417052d11b35
15b47955e006
hex65261d30c3

434431144131 has 8 divisors (see below), whose sum is σ = 579422381760. Its totient is φ = 289530334632.

The previous prime is 434431144097. The next prime is 434431144163. The reversal of 434431144131 is 131441134434.

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

It is not a de Polignac number, because 434431144131 - 215 = 434431111363 is a prime.

It is a super-2 number, since 2×4344311441312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434431144092 and 434431144101.

It is not an unprimeable number, because it can be changed into a prime (434431144531) 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, 22595821 + ... + 22615038.

It is an arithmetic number, because the mean of its divisors is an integer number (72427797720).

Almost surely, 2434431144131 is an apocalyptic number.

434431144131 is a deficient number, since it is larger than the sum of its proper divisors (144991237629).

434431144131 is a wasteful number, since it uses less digits than its factorization.

434431144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45214065.

The product of its digits is 27648, while the sum is 33.

Adding to 434431144131 its reverse (131441134434), we get a palindrome (565872278565).

The spelling of 434431144131 in words is "four hundred thirty-four billion, four hundred thirty-one million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 3203 9609 45210859 135632577 144810381377 434431144131