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14044130541 = 33734335267
BaseRepresentation
bin11010001010001100…
…00110110011101101
31100020202111202022000
431011012012303231
5212230244134131
610241330242513
71005012066000
oct150506066355
940222452260
1014044130541
115a57600161
12287b426439
13142a7c081c
149732c3537
15572e4dce6
hex345186ced

14044130541 has 64 divisors (see below), whose sum is σ = 24828672000. Its totient is φ = 7838362224.

The previous prime is 14044130501. The next prime is 14044130543. The reversal of 14044130541 is 14503144041.

14044130541 is a `hidden beast` number, since 140 + 441 + 30 + 54 + 1 = 666.

14044130541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14044130541 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 (14044130543) 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 63 ways as a sum of consecutive naturals, for example, 380590 + ... + 415856.

It is an arithmetic number, because the mean of its divisors is an integer number (387948000).

Almost surely, 214044130541 is an apocalyptic number.

It is an amenable number.

14044130541 is a deficient number, since it is larger than the sum of its proper divisors (10784541459).

14044130541 is an equidigital number, since it uses as much as digits as its factorization.

14044130541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35340 (or 35320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14044130541 its reverse (14503144041), we get a palindrome (28547274582).

The spelling of 14044130541 in words is "fourteen billion, forty-four million, one hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 43 49 63 129 147 189 301 343 387 441 903 1029 1161 1323 2107 2709 3087 6321 8127 9261 14749 18963 35267 44247 56889 105801 132741 246869 317403 398223 740607 952209 1516481 1728083 2221821 4549443 5184249 6665463 10615367 12096581 13648329 15552747 31846101 36289743 40944987 46658241 74307569 95538303 108869229 222922707 286614909 326607687 520152983 668768121 1560458949 2006304363 4681376847 14044130541