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434423334141 = 32173776739681
BaseRepresentation
bin1100101001001011010…
…01100000010011111101
31112112022201010221002100
412110211221200103331
524104144333143031
6531323223415313
743246262261526
oct6244551402375
91475281127070
10434423334141
11158268712885
127023b5b4539
1331c73246304
1417051c7b84d
15b478a19de6
hex6525a604fd

434423334141 has 24 divisors (see below), whose sum is σ = 682369252344. Its totient is φ = 265212334080.

The previous prime is 434423334097. The next prime is 434423334143. The reversal of 434423334141 is 141433324434.

434423334141 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 233 + 3 + 414 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 360205229241 + 74218104900 = 600171^2 + 272430^2 .

It is not a de Polignac number, because 434423334141 - 29 = 434423333629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434423334096 and 434423334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434423334143) 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 23 ways as a sum of consecutive naturals, for example, 38364180 + ... + 38375501.

It is an arithmetic number, because the mean of its divisors is an integer number (28432052181).

Almost surely, 2434423334141 is an apocalyptic number.

It is an amenable number.

434423334141 is a deficient number, since it is larger than the sum of its proper divisors (247945918203).

434423334141 is a wasteful number, since it uses less digits than its factorization.

434423334141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76739741 (or 76739738 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 434423334141 its reverse (141433324434), we get a palindrome (575856658575).

The spelling of 434423334141 in words is "four hundred thirty-four billion, four hundred twenty-three million, three hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 76739681 230219043 690657129 1304574577 2839368197 3913723731 8518104591 11741171193 25554313773 48269259349 144807778047 434423334141