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434042230014 = 232415383133697
BaseRepresentation
bin1100101000011101110…
…11101101010011111110
31112111100011000211111200
412110032323231103332
524102404302330024
6531221331200330
743233654040011
oct6241673552376
91474304024450
10434042230014
11158092583698
1270153a460a6
1331c122bc703
14170173d5378
15b45533a2c9
hex650eeed4fe

434042230014 has 96 divisors (see below), whose sum is σ = 993371861664. Its totient is φ = 136819138560.

The previous prime is 434042230009. The next prime is 434042230051. The reversal of 434042230014 is 410032240434.

It is a happy number.

434042230014 is a `hidden beast` number, since 4 + 340 + 4 + 2 + 2 + 300 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 434042230014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3179614 + ... + 3313310.

It is an arithmetic number, because the mean of its divisors is an integer number (10347623559).

Almost surely, 2434042230014 is an apocalyptic number.

434042230014 is an abundant number, since it is smaller than the sum of its proper divisors (559329631650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434042230014 is a wasteful number, since it uses less digits than its factorization.

434042230014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133882 (or 133879 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434042230014 its reverse (410032240434), we get a palindrome (844074470448).

The spelling of 434042230014 in words is "four hundred thirty-four billion, forty-two million, two hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 18 41 53 82 83 106 123 159 166 246 249 318 369 477 498 738 747 954 1494 2173 3403 4346 4399 6519 6806 8798 10209 13038 13197 19557 20418 26394 30627 39114 39591 61254 79182 133697 180359 267394 360718 401091 541077 802182 1082154 1203273 1623231 2406546 3246462 5481577 7085941 10963154 11096851 14171882 16444731 21257823 22193702 32889462 33290553 42515646 49334193 63773469 66581106 98668386 99871659 127546938 199743318 290523581 454970891 581047162 588133103 871570743 909941782 1176266206 1364912673 1743141486 1764399309 2614712229 2729825346 3528798618 4094738019 5229424458 5293197927 8189476038 10586395854 24113457223 48226914446 72340371669 144680743338 217021115007 434042230014