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13242314404314 = 23217417913360771
BaseRepresentation
bin1100000010110011011101…
…1100100011000111011010
31201212221201122210200010200
43000230313130203013122
53213430224441414224
644055234003123030
72534503616142552
oct300546734430732
951787648720120
1013242314404314
114246041289176
12159a548373476
1375098b6a6448
1433ad07c12162
1517e6e28ac5c9
hexc0b377231da

13242314404314 has 96 divisors (see below), whose sum is σ = 31514320131840. Its totient is φ = 4001817830400.

The previous prime is 13242314404289. The next prime is 13242314404351. The reversal of 13242314404314 is 41340441324231.

13242314404314 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 231 + 4 + 404 + 3 + 14 = 666.

13242314404314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 5689252 + ... + 7671519.

It is an arithmetic number, because the mean of its divisors is an integer number (328274168040).

Almost surely, 213242314404314 is an apocalyptic number.

13242314404314 is an abundant number, since it is smaller than the sum of its proper divisors (18272005727526).

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

13242314404314 is a wasteful number, since it uses less digits than its factorization.

13242314404314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360916 (or 13360913 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13242314404314 its reverse (41340441324231), we get a palindrome (54582755728545).

The spelling of 13242314404314 in words is "thirteen trillion, two hundred forty-two billion, three hundred fourteen million, four hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 41 51 79 82 102 123 153 158 237 246 306 369 474 697 711 738 1343 1394 1422 2091 2686 3239 4029 4182 6273 6478 8058 9717 12087 12546 19434 24174 29151 55063 58302 110126 165189 330378 495567 991134 13360771 26721542 40082313 80164626 120246939 227133107 240493878 454266214 547791611 681399321 1055500909 1095583222 1362798642 1643374833 2044197963 2111001818 3166502727 3286749666 4088395926 4930124499 6333005454 9312457387 9499508181 9860248998 17943515453 18624914774 18999016362 27937372161 35887030906 43275537269 53830546359 55874744322 83812116483 86551074538 107661092718 129826611807 161491639077 167624232966 259653223614 322983278154 389479835421 735684133573 778959670842 1471368267146 2207052400719 4414104801438 6621157202157 13242314404314