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131404350434335 = 51141190873052991
BaseRepresentation
bin11101111000001011110101…
…101000010010110000011111
3122020021010121010010001020021
4131320023311220102300133
5114210412102202344320
61143250154125333011
736451436205351526
oct3570136550226037
9566233533101207
10131404350434335
11389622aa1301a0
12128a3063107167
1358424b9589554
14246400c49d4bd
15102d1de600daa
hex7782f5a12c1f

131404350434335 has 32 divisors (see below), whose sum is σ = 176225146159104. Its totient is φ = 93230987424000.

The previous prime is 131404350434299. The next prime is 131404350434381. The reversal of 131404350434335 is 533434053404131.

It is not a de Polignac number, because 131404350434335 - 227 = 131404216216607 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131404350434291 and 131404350434300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41514690 + ... + 44567680.

It is an arithmetic number, because the mean of its divisors is an integer number (5507035817472).

Almost surely, 2131404350434335 is an apocalyptic number.

131404350434335 is a deficient number, since it is larger than the sum of its proper divisors (44820795724769).

131404350434335 is a wasteful number, since it uses less digits than its factorization.

131404350434335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072135.

The product of its (nonzero) digits is 1555200, while the sum is 43.

The spelling of 131404350434335 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty million, four hundred thirty-four thousand, three hundred thirty-five".

Divisors: 1 5 11 41 55 205 451 2255 19087 95435 209957 782567 1049785 3052991 3912835 8608237 15264955 33582901 43041185 125172631 167914505 625863155 1376898941 6884494705 58272439217 291362196085 640996831387 2389170007897 3204984156935 11945850039485 26280870086867 131404350434335