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430745441345 = 53719312064009
BaseRepresentation
bin1100100010010100110…
…11011101010001000001
31112011211101112121122122
412101022123131101001
524024131313110340
6525514241414025
743056162561152
oct6211233352101
91464741477578
10430745441345
1115675063255a
126b59393a315
1331808292c9b
1416bc3613929
15b310bbddb5
hex644a6dd441

430745441345 has 16 divisors (see below), whose sum is σ = 533615290320. Its totient is φ = 333545693184.

The previous prime is 430745441327. The next prime is 430745441353. The reversal of 430745441345 is 543144547034.

It is a Cunningham number, because it is equal to 6563122+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 430745441344 = 1^2 + 656312^2 .

It is a cyclic number.

It is not a de Polignac number, because 430745441345 - 218 = 430745179201 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 430745441296 and 430745441305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5996300 + ... + 6067709.

It is an arithmetic number, because the mean of its divisors is an integer number (33350955645).

Almost surely, 2430745441345 is an apocalyptic number.

It is an amenable number.

430745441345 is a deficient number, since it is larger than the sum of its proper divisors (102869848975).

430745441345 is a wasteful number, since it uses less digits than its factorization.

430745441345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064244.

The product of its (nonzero) digits is 1612800, while the sum is 44.

Adding to 430745441345 its reverse (543144547034), we get a palindrome (973889988379).

The spelling of 430745441345 in words is "four hundred thirty billion, seven hundred forty-five million, four hundred forty-one thousand, three hundred forty-five".

Divisors: 1 5 37 185 193 965 7141 35705 12064009 60320045 446368333 2231841665 2328353737 11641768685 86149088269 430745441345