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14305350231 = 32291011274273
BaseRepresentation
bin11010101001010101…
…00101001001010111
31100220222001002100100
431110222211021113
5213244132201411
610323301145143
71014333320304
oct152452451127
940828032310
1014305350231
116080aa73a7
1229329bb1b3
13146c960ca3
14999c800ab
1558ad4c456
hex354aa5257

14305350231 has 48 divisors (see below), whose sum is σ = 21762524160. Its totient is φ = 9042969600.

The previous prime is 14305350167. The next prime is 14305350233. The reversal of 14305350231 is 13205350341.

14305350231 is a `hidden beast` number, since 1 + 4 + 305 + 350 + 2 + 3 + 1 = 666.

14305350231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14305350231 - 26 = 14305350167 is a prime.

It is a super-2 number, since 2×143053502312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14305350195 and 14305350204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14305350233) by changing a digit.

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, 3345711 + ... + 3349983.

It is an arithmetic number, because the mean of its divisors is an integer number (453385920).

Almost surely, 214305350231 is an apocalyptic number.

14305350231 is a deficient number, since it is larger than the sum of its proper divisors (7457173929).

14305350231 is a wasteful number, since it uses less digits than its factorization.

14305350231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 14305350231 in words is "fourteen billion, three hundred five million, three hundred fifty thousand, two hundred thirty-one".

Divisors: 1 3 9 29 87 101 127 261 303 381 909 1143 2929 3683 4273 8787 11049 12819 12827 26361 33147 38457 38481 115443 123917 371751 371983 431573 542671 1115253 1115949 1294719 1628013 3347847 3884157 4884039 12515617 15737459 37546851 47212377 54809771 112640553 141637131 164429313 493287939 1589483359 4768450077 14305350231