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434431134434 = 211229435632557
BaseRepresentation
bin1100101001001100001…
…11010000101011100010
31112112100020211020002002
412110212013100223202
524104203332300214
6531324102524002
743246415500103
oct6244607205342
91475306736062
10434431134434
11158272060300
1270242136602
1331c74a4787b
1417052d0c3aa
15b47955b1de
hex65261d0ae2

434431134434 has 96 divisors (see below), whose sum is σ = 759847556160. Its totient is φ = 185822017920.

The previous prime is 434431134427. The next prime is 434431134443.

434431134434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4344311344342 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 169897484 + ... + 169900040.

It is an arithmetic number, because the mean of its divisors is an integer number (7915078710).

Almost surely, 2434431134434 is an apocalyptic number.

434431134434 is a deficient number, since it is larger than the sum of its proper divisors (325416421726).

434431134434 is a wasteful number, since it uses less digits than its factorization.

434431134434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3205 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 434431 and 134434, that added together give a palindrome (568865).

The spelling of 434431134434 in words is "four hundred thirty-four billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 11 22 29 43 58 86 121 242 319 473 563 638 946 1126 1247 2494 2557 3509 5114 5203 6193 7018 10406 12386 13717 16327 24209 27434 28127 32654 48418 56254 68123 74153 109951 136246 148306 150887 179597 219902 266299 301774 309397 359194 532598 618794 702061 815683 1209461 1404122 1439591 1631366 1975567 2418922 2879182 2929289 3188579 3951134 5858578 6377158 7722671 8972513 13304071 15445342 15835501 17945026 26608142 31671002 35074369 41748139 61902413 70148738 83496278 84949381 123804826 169898762 174190511 348381022 385818059 459229529 680926543 771636118 918459058 1361853086 1795169977 3590339954 5051524819 7490191973 10103049638 14980383946 19746869747 39493739494 217215567217 434431134434