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434414174675 = 52132414358321
BaseRepresentation
bin1100101001001010001…
…10100100000111010011
31112112022001220120122212
412110211012210013103
524104140012042200
6531322255222335
743246121362535
oct6244506440723
91475261816585
10434414174675
11158263527178
12702385179ab
1331c7138a200
1417050975855
15b477d0b035
hex65251a41d3

434414174675 has 72 divisors (see below), whose sum is σ = 611430584688. Its totient is φ = 305690112000.

The previous prime is 434414174647. The next prime is 434414174687. The reversal of 434414174675 is 576471414434.

It is not a de Polignac number, because 434414174675 - 26 = 434414174611 is a prime.

It is a super-2 number, since 2×4344141746752 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 71 ways as a sum of consecutive naturals, for example, 7419515 + ... + 7477835.

It is an arithmetic number, because the mean of its divisors is an integer number (8492091454).

Almost surely, 2434414174675 is an apocalyptic number.

434414174675 is a deficient number, since it is larger than the sum of its proper divisors (177016410013).

434414174675 is a wasteful number, since it uses less digits than its factorization.

434414174675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58441 (or 58423 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 50.

The spelling of 434414174675 in words is "four hundred thirty-four billion, four hundred fourteen million, one hundred seventy-four thousand, six hundred seventy-five".

Divisors: 1 5 13 25 41 43 65 169 205 215 325 533 559 845 1025 1075 1763 2665 2795 4225 6929 7267 8815 13325 13975 22919 34645 36335 44075 58321 114595 173225 181675 291605 297947 572975 758173 1458025 1489735 2391161 2507803 3790865 7448675 9856249 11955805 12539015 18954325 31085093 32601439 49281245 59779025 62695075 102819923 155425465 163007195 246406225 404106209 423818707 514099615 777127325 815035975 1336658999 2020531045 2119093535 2570498075 6683294995 10102655225 10595467675 17376566987 33416474975 86882834935 434414174675