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131414104030241 = 2329533717408391
BaseRepresentation
bin11101111000010100111010…
…111111010011110000100001
3122020022001202212020001111002
4131320110322333103300201
5114211042041112431431
61143254450031001345
736452233001506304
oct3570247277236041
9566261685201432
10131414104030241
113896645484815a
12128a4b25669255
1358433b21c2c86
142464695a00b3b
15102d5b0a3a3cb
hex77853afd3c21

131414104030241 has 16 divisors (see below), whose sum is σ = 144532838280960. Its totient is φ = 119076025548480.

The previous prime is 131414104030141. The next prime is 131414104030249. The reversal of 131414104030241 is 142030401414131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131414104030241 - 230 = 131413030288417 is a prime.

It is a super-3 number, since 3×1314141040302413 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131414104030249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858668845 + ... + 1858739546.

It is an arithmetic number, because the mean of its divisors is an integer number (9033302392560).

Almost surely, 2131414104030241 is an apocalyptic number.

It is an amenable number.

131414104030241 is a deficient number, since it is larger than the sum of its proper divisors (13118734250719).

131414104030241 is a wasteful number, since it uses less digits than its factorization.

131414104030241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717408496.

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

Adding to 131414104030241 its reverse (142030401414131), we get a palindrome (273444505444372).

The spelling of 131414104030241 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred four million, thirty thousand, two hundred forty-one".

Divisors: 1 23 29 53 667 1219 1537 35351 3717408391 85500392993 107804843339 197022644723 2479511396797 4531520828629 5713656696967 131414104030241