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13424444432334 = 23313172348908287
BaseRepresentation
bin1100001101011001111100…
…1111011101111111001110
31202112100211121120201112000
43003112133033131333032
53224421230233313314
644315034333453130
72553612150633105
oct303263717357716
952470747521460
1013424444432334
1143063029a8991
1216098b73411a6
13764bc56c04b0
14345a6487303c
151843020b0209
hexc359f3ddfce

13424444432334 has 128 divisors (see below), whose sum is σ = 35495679098880. Its totient is φ = 3718594801152.

The previous prime is 13424444432303. The next prime is 13424444432341. The reversal of 13424444432334 is 43323444442431.

13424444432334 is a `hidden beast` number, since 1 + 3 + 4 + 244 + 4 + 44 + 32 + 334 = 666.

It is a super-3 number, since 3×134244444323343 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13424444432334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24179662 + ... + 24728625.

It is an arithmetic number, because the mean of its divisors is an integer number (277309992960).

Almost surely, 213424444432334 is an apocalyptic number.

13424444432334 is an abundant number, since it is smaller than the sum of its proper divisors (22071234666546).

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

13424444432334 is a wasteful number, since it uses less digits than its factorization.

13424444432334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48908351 (or 48908345 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 45.

Adding to 13424444432334 its reverse (43323444442431), we get a palindrome (56747888874765).

The spelling of 13424444432334 in words is "thirteen trillion, four hundred twenty-four billion, four hundred forty-four million, four hundred thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 23 26 27 34 39 46 51 54 69 78 102 117 138 153 207 221 234 299 306 351 391 414 442 459 598 621 663 702 782 897 918 1173 1242 1326 1794 1989 2346 2691 3519 3978 5083 5382 5967 7038 8073 10166 10557 11934 15249 16146 21114 30498 45747 91494 137241 274482 48908287 97816574 146724861 293449722 440174583 635807731 831440879 880349166 1124890601 1271615462 1320523749 1662881758 1907423193 2249781202 2494322637 2641047498 3374671803 3814846386 4988645274 5722269579 6749343606 7482967911 10124015409 10808731427 11444539158 14623577813 14965935822 17166808737 19123140217 20248030818 21617462854 22448903733 29247155626 30372046227 32426194281 34333617474 38246280434 43870733439 44897807466 57369420651 60744092454 64852388562 87741466878 97278582843 114738841302 131612200317 172108261953 194557165686 248600822821 263224400634 291835748529 344216523906 394836600951 497201645642 516324785859 583671497058 745802468463 789673201902 1032649571718 1491604936926 2237407405389 4474814810778 6712222216167 13424444432334