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14143542131241 = 32113157773114593
BaseRepresentation
bin1100110111010000110011…
…0011011111101000101001
31212002002221202202202002200
43031310030303133220221
53323211433241144431
650025241545050413
72656560105342105
oct315641463375051
955062852682080
1014143542131241
1145632738a2416
121705143786a09
137b7965614193
1436c7a02a4905
15197d8ca9eee6
hexcdd0ccdfa29

14143542131241 has 48 divisors (see below), whose sum is σ = 20768643441936. Its totient is φ = 9273965395968.

The previous prime is 14143542131239. The next prime is 14143542131249. The reversal of 14143542131241 is 14213124534141.

14143542131241 is a `hidden beast` number, since 1 + 4 + 1 + 43 + 542 + 1 + 31 + 2 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2144218419225 + 11999323712016 = 1464315^2 + 3464004^2 .

It is not a de Polignac number, because 14143542131241 - 21 = 14143542131239 is a prime.

It is a super-3 number, since 3×141435421312413 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14143542131196 and 14143542131205.

It is not an unprimeable number, because it can be changed into a prime (14143542131249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123366841 + ... + 123481433.

It is an arithmetic number, because the mean of its divisors is an integer number (432680071707).

Almost surely, 214143542131241 is an apocalyptic number.

It is an amenable number.

14143542131241 is a deficient number, since it is larger than the sum of its proper divisors (6625101310695).

14143542131241 is a wasteful number, since it uses less digits than its factorization.

14143542131241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115642 (or 115639 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 14143542131241 its reverse (14213124534141), we get a palindrome (28356666665382).

The spelling of 14143542131241 in words is "fourteen trillion, one hundred forty-three billion, five hundred forty-two million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 113 157 339 471 773 1017 1413 2319 6957 17741 53223 87349 114593 121361 159669 262047 343779 364083 786141 1031337 1092249 12949009 13713793 17991101 38847027 41141379 53973303 88580389 116541081 123424137 161919909 265741167 797223501 2032994413 6098983239 10009583957 13907121073 18296949717 30028751871 41721363219 90086255613 125164089657 1571504681249 4714514043747 14143542131241