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14305142313 = 32711192211271
BaseRepresentation
bin11010101001010011…
…10010011000101001
31100220221122112010200
431110221302120221
5213244104023223
610323252502413
71014331463160
oct152451623051
940827575120
1014305142313
116080975170
12293291aa09
13146c8ba467
14999c283d7
1558ad0aa43
hex354a72629

14305142313 has 144 divisors (see below), whose sum is σ = 27418540032. Its totient is φ = 6980904000.

The previous prime is 14305142309. The next prime is 14305142321. The reversal of 14305142313 is 31324150341.

It is a happy number.

14305142313 is a `hidden beast` number, since 1 + 4 + 305 + 1 + 42 + 313 = 666.

It is not a de Polignac number, because 14305142313 - 22 = 14305142309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14305142363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52786368 + ... + 52786638.

It is an arithmetic number, because the mean of its divisors is an integer number (190406528).

Almost surely, 214305142313 is an apocalyptic number.

It is an amenable number.

14305142313 is a deficient number, since it is larger than the sum of its proper divisors (13113397719).

14305142313 is a wasteful number, since it uses less digits than its factorization.

14305142313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14305142313 its reverse (31324150341), we get a palindrome (45629292654).

The spelling of 14305142313 in words is "fourteen billion, three hundred five million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 211 231 271 361 399 627 633 693 813 1083 1197 1463 1477 1881 1897 1899 2321 2439 2527 2981 3249 3971 4009 4389 4431 5149 5691 6963 7581 8943 11913 12027 13167 13293 15447 16247 17073 20867 20889 22743 26829 27797 28063 35739 36043 36081 44099 46341 48741 56639 57181 62601 76171 83391 84189 97831 108129 132297 146223 169917 171543 187803 228513 250173 252567 293493 308693 324387 396473 396891 400267 509751 514629 533197 628991 684817 685539 837881 880479 926079 1076141 1086439 1189419 1200801 1599591 1886973 2054451 2513643 2778237 3228423 3259317 3568257 3602403 4402937 4798773 5660919 5865167 6163353 7532987 7540929 7605073 9685269 9777951 11950829 13208811 17595501 20642341 22598961 22815219 35852487 39626433 52786503 61927023 67796883 68445657 83655803 107557461 144496387 185781069 227065751 250967409 433489161 681197253 752902227 1300467483 1589460257 2043591759 4768380771 14305142313