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14013424341 = 3272973105071
BaseRepresentation
bin11010000110100001…
…11110001011010101
31100011121201201022100
431003100332023111
5212144414034331
610234312152313
71004160066360
oct150320761325
940147651270
1014013424341
115a41238134
122871098699
13142432c287
1496d1ad0d7
155703d5ae6
hex34343e2d5

14013424341 has 48 divisors (see below), whose sum is σ = 24259023360. Its totient is φ = 7625560320.

The previous prime is 14013424297. The next prime is 14013424367. The reversal of 14013424341 is 14342431041.

14013424341 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 14013424341 - 27 = 14013424213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013424441) 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, 80836 + ... + 185906.

It is an arithmetic number, because the mean of its divisors is an integer number (505396320).

Almost surely, 214013424341 is an apocalyptic number.

It is an amenable number.

14013424341 is a deficient number, since it is larger than the sum of its proper divisors (10245599019).

14013424341 is a wasteful number, since it uses less digits than its factorization.

14013424341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105186 (or 105183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14013424341 its reverse (14342431041), we get a palindrome (28355855382).

The spelling of 14013424341 in words is "fourteen billion, thirteen million, four hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 29 63 73 87 203 219 261 511 609 657 1533 1827 2117 4599 6351 14819 19053 44457 105071 133371 315213 735497 945639 2206491 3047059 6619473 7670183 9141177 21329413 23010549 27423531 53691281 63988239 69031647 161073843 191964717 222435307 483221529 667305921 1557047149 2001917763 4671141447 14013424341