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14141320130441 = 723154117208179
BaseRepresentation
bin1100110111001000100001…
…0111001110111110001001
31212001220012220200102000202
43031302020113032332021
53323142410423133231
650024233251541545
72656451044551500
oct315621027167611
955056186612022
1014141320130441
114562333606319
1217048235ba8b5
137b76a017b7ca
1436c62d13b837
15197cac9895cb
hexcdc885cef89

14141320130441 has 24 divisors (see below), whose sum is σ = 17012144413440. Its totient is φ = 11708444311200.

The previous prime is 14141320130423. The next prime is 14141320130459. The reversal of 14141320130441 is 14403102314141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14141320130423) and next prime (14141320130459).

It is a de Polignac number, because none of the positive numbers 2k-14141320130441 is a prime.

It is a super-2 number, since 2×141413201304412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14141320130411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7782311 + ... + 9425868.

It is an arithmetic number, because the mean of its divisors is an integer number (708839350560).

Almost surely, 214141320130441 is an apocalyptic number.

It is an amenable number.

14141320130441 is a deficient number, since it is larger than the sum of its proper divisors (2870824282999).

14141320130441 is a wasteful number, since it uses less digits than its factorization.

14141320130441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208765 (or 17208758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 14141320130441 its reverse (14403102314141), we get a palindrome (28544422444582).

The spelling of 14141320130441 in words is "fourteen trillion, one hundred forty-one billion, three hundred twenty million, one hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 31 49 217 541 1519 3787 16771 26509 117397 821779 17208179 120457253 533453549 843200771 3734174843 9309624839 26139223901 65167373873 288598370009 456171617111 2020188590063 14141320130441