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14133350205 = 355135316883
BaseRepresentation
bin11010010100110100…
…11100111100111101
31100110222101120200000
431022122130330331
5212421114201310
610254234424513
71010144331432
oct151232347475
940428346600
1014133350205
115aa29a9217
1228a5292139
13144312b520
149810a9b89
1557abc44c0
hex34a69cf3d

14133350205 has 96 divisors (see below), whose sum is σ = 27877239936. Its totient is φ = 6826270464.

The previous prime is 14133350171. The next prime is 14133350207. The reversal of 14133350205 is 50205333141.

It is not a de Polignac number, because 14133350205 - 212 = 14133346109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133350207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828694 + ... + 845576.

It is an arithmetic number, because the mean of its divisors is an integer number (290387916).

Almost surely, 214133350205 is an apocalyptic number.

14133350205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14133350205 is a deficient number, since it is larger than the sum of its proper divisors (13743889731).

14133350205 is a wasteful number, since it uses less digits than its factorization.

14133350205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969 (or 16957 counting only the distinct ones).

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

Adding to 14133350205 its reverse (50205333141), we get a palindrome (64338683346).

The spelling of 14133350205 in words is "fourteen billion, one hundred thirty-three million, three hundred fifty thousand, two hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 53 65 81 117 135 159 195 243 265 351 405 477 585 689 795 1053 1215 1431 1755 2067 2385 3159 3445 4293 5265 6201 7155 10335 12879 15795 16883 18603 21465 31005 50649 55809 64395 84415 93015 151947 167427 219479 253245 279045 455841 658437 759735 837135 894799 1097395 1367523 1975311 2279205 2684397 3292185 4102569 4473995 5925933 6837615 8053191 9876555 11632387 13421985 17777799 20512845 24159573 29629665 34897161 40265955 53333397 58161935 72478719 88888995 104691483 120797865 174485805 217436157 266666985 314074449 362393595 523457415 942223347 1087180785 1570372245 2826670041 4711116735 14133350205