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131404321334433 = 3717821448330489
BaseRepresentation
bin11101111000001011110011…
…111001010010010010100001
3122020021010112002100121200010
4131320023303321102102201
5114210412022230200213
61143250151205515133
736451435403122260
oct3570136371222241
9566233462317603
10131404321334433
1138962294764a94
12128a3055412aa9
1358424b353b184
1424640086865d7
15102d1dbca3ac3
hex7782f3e524a1

131404321334433 has 32 divisors (see below), whose sum is σ = 212271933761280. Its totient is φ = 70585152030720.

The previous prime is 131404321334423. The next prime is 131404321334537. The reversal of 131404321334433 is 334433123404131.

131404321334433 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131404321334433 - 24 = 131404321334417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131404321334391 and 131404321334400.

It is not an unprimeable number, because it can be changed into a prime (131404321334423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223872148 + ... + 224458341.

It is an arithmetic number, because the mean of its divisors is an integer number (6633497930040).

Almost surely, 2131404321334433 is an apocalyptic number.

It is an amenable number.

131404321334433 is a deficient number, since it is larger than the sum of its proper divisors (80867612426847).

131404321334433 is a wasteful number, since it uses less digits than its factorization.

131404321334433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448331337.

The product of its (nonzero) digits is 373248, while the sum is 39.

Adding to 131404321334433 its reverse (334433123404131), we get a palindrome (465837444738564).

The spelling of 131404321334433 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred twenty-one million, three hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 3 7 17 21 51 119 357 821 2463 5747 13957 17241 41871 97699 293097 448330489 1344991467 3138313423 7621618313 9414940269 22864854939 53351328191 160053984573 368079331469 1104237994407 2576555320283 6257348634973 7729665960849 18772045904919 43801440444811 131404321334433