Search a number
-
+
131414042034331 = 72983109311230081
BaseRepresentation
bin11101111000010100110111…
…010010110100000010011011
3122020022001121112120100002021
4131320110313102310002123
5114211041424230044311
61143254435534115311
736452231316530230
oct3570246722640233
9566261545510067
10131414042034331
1138966422853771
12128a4b0894bb37
1358433a23c76c4
14246468b6a3787
15102d5aa391171
hex7785374b409b

131414042034331 has 64 divisors (see below), whose sum is σ = 159191711078400. Its totient is φ = 106117608038400.

The previous prime is 131414042034323. The next prime is 131414042034437. The reversal of 131414042034331 is 133430240414131.

It is not a de Polignac number, because 131414042034331 - 23 = 131414042034323 is a prime.

It is a super-2 number, since 2×1314140420343312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131414045034331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571049211 + ... + 571279291.

It is an arithmetic number, because the mean of its divisors is an integer number (2487370485600).

Almost surely, 2131414042034331 is an apocalyptic number.

131414042034331 is a deficient number, since it is larger than the sum of its proper divisors (27777669044069).

131414042034331 is a wasteful number, since it uses less digits than its factorization.

131414042034331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230620.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 131414042034331 its reverse (133430240414131), we get a palindrome (264844282448462).

The spelling of 131414042034331 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-two million, thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 29 83 109 203 311 581 763 2177 2407 3161 9019 9047 16849 22127 25813 33899 63133 63329 180691 230081 237293 262363 748577 983071 1610567 1836541 2813617 5240039 6672349 6881497 19096723 19695319 25078829 46706443 71555191 81594893 133677061 175551803 500886337 553804967 571164251 727286041 2075100539 2081542807 3876634769 5091002287 5939080853 7799515819 14525703773 14570799649 41573565971 54596610733 60364741403 172233344737 226185958751 422553189821 647359812977 1205633413159 1583301711257 4531518690839 18773434576333 131414042034331