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131414040214141 = 598352275134039
BaseRepresentation
bin11101111000010100110111…
…001011110111101001111101
3122020022001121102010212020211
4131320110313023313221331
5114211041423243323031
61143254435431112421
736452231265206446
oct3570246713675175
9566261542125224
10131414040214141
1138966421820183
12128a4b08212711
1358433a1c0b079
14246468b34c2cd
15102d5aa131bb1
hex7785372f7a7d

131414040214141 has 16 divisors (see below), whose sum is σ = 135277436044800. Its totient is φ = 127605775188528.

The previous prime is 131414040214123. The next prime is 131414040214217. The reversal of 131414040214141 is 141412040414131.

It is a cyclic number.

It is not a de Polignac number, because 131414040214141 - 29 = 131414040213629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414040218141) 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, 23029600 + ... + 28163638.

It is an arithmetic number, because the mean of its divisors is an integer number (8454839752800).

Almost surely, 2131414040214141 is an apocalyptic number.

It is an amenable number.

131414040214141 is a deficient number, since it is larger than the sum of its proper divisors (3863395830659).

131414040214141 is an equidigital number, since it uses as much as digits as its factorization.

131414040214141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139408.

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 131414040214141 its reverse (141412040414131), we get a palindrome (272826080628272).

The spelling of 131414040214141 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 59 83 4897 5227 308393 433841 5134039 25596619 302908301 426125237 25141388983 26835621853 1583301689327 2227356613799 131414040214141