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131404040241441 = 31129137308297013
BaseRepresentation
bin11101111000001011100011…
…001001000000000100100001
3122020021002210111102121120120
4131320023203021000010201
5114210410433300211231
61143250103245030453
736451425420640212
oct3570134311000441
9566232714377516
10131404040241441
1138962160024730
12128a2b97255429
13584246a230166
142463dbd1d5409
15102d1c227bd96
hex7782e3240121

131404040241441 has 16 divisors (see below), whose sum is σ = 197723947700160. Its totient is φ = 76892646326720.

The previous prime is 131404040241421. The next prime is 131404040241457. The reversal of 131404040241441 is 144142040404131.

It is a cyclic number.

It is not a de Polignac number, because 131404040241441 - 214 = 131404040225057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131404040241421) 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, 68654147550 + ... + 68654149463.

It is an arithmetic number, because the mean of its divisors is an integer number (12357746731260).

Almost surely, 2131404040241441 is an apocalyptic number.

131404040241441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131404040241441 is a deficient number, since it is larger than the sum of its proper divisors (66319907458719).

131404040241441 is a wasteful number, since it uses less digits than its factorization.

131404040241441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137308297056.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 131404040241441 its reverse (144142040404131), we get a palindrome (275546080645572).

The spelling of 131404040241441 in words is "one hundred thirty-one trillion, four hundred four billion, forty million, two hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 11 29 33 87 319 957 137308297013 411924891039 1510391267143 3981940613377 4531173801429 11945821840131 43801346747147 131404040241441