Search a number
-
+
14038052105 = 5711191349547
BaseRepresentation
bin11010001001011101…
…11010110100001001
31100020100001221020202
431010232322310021
5212222220131410
610240552101545
71004606321420
oct150456726411
940210057222
1014038052105
115a54129360
1228793948b5
131429472c0c
149725802b7
1557264cca5
hex344bbad09

14038052105 has 64 divisors (see below), whose sum is σ = 21211545600. Its totient is φ = 8664364800.

The previous prime is 14038052099. The next prime is 14038052123. The reversal of 14038052105 is 50125083041.

14038052105 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 14038052105 - 216 = 14037986569 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25663442 + ... + 25663988.

It is an arithmetic number, because the mean of its divisors is an integer number (331430400).

Almost surely, 214038052105 is an apocalyptic number.

It is an amenable number.

14038052105 is a deficient number, since it is larger than the sum of its proper divisors (7173493495).

14038052105 is a wasteful number, since it uses less digits than its factorization.

14038052105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 4800, while the sum is 29.

It can be divided in two parts, 1403 and 8052105, that added together give a palindrome (8053508).

The spelling of 14038052105 in words is "fourteen billion, thirty-eight million, fifty-two thousand, one hundred five".

Divisors: 1 5 7 11 35 55 77 191 349 385 547 955 1337 1745 2101 2443 2735 3829 3839 6017 6685 10505 12215 14707 19145 19195 26873 30085 42119 66659 73535 104477 134365 190903 210595 333295 466613 522385 731339 733249 954515 1149247 1336321 2099933 2333065 3656695 3666245 5132743 5746235 6681605 8044729 10499665 14699531 25663715 36462473 40223645 73497655 182312365 255237311 401087203 1276186555 2005436015 2807610421 14038052105