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1331314433244 = 223323535955891
BaseRepresentation
bin10011010111111000100…
…001100001110011011100
311201021100120222111001000
4103113320201201303130
5133303012443330434
62455333012350300
7165120132653205
oct23277041416334
94637316874030
101331314433244
11473675321394
12196026615390
13987088abb93
14486163d05ac
152496d140b99
hex135f8861cdc

1331314433244 has 48 divisors (see below), whose sum is σ = 3601623594240. Its totient is φ = 424477064880.

The previous prime is 1331314433237. The next prime is 1331314433261. The reversal of 1331314433244 is 4423344131331.

1331314433244 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 314 + 4 + 332 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1331314433199 and 1331314433208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267975462 + ... + 267980429.

It is an arithmetic number, because the mean of its divisors is an integer number (75033824880).

Almost surely, 21331314433244 is an apocalyptic number.

It is an amenable number.

1331314433244 is an abundant number, since it is smaller than the sum of its proper divisors (2270309160996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331314433244 is a wasteful number, since it uses less digits than its factorization.

1331314433244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535955927 (or 535955919 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 1331314433244 its reverse (4423344131331), we get a palindrome (5754658564575).

The spelling of 1331314433244 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 535955891 1071911782 1607867673 2143823564 3215735346 4823603019 6431470692 9647206038 12326985493 14470809057 19294412076 24653970986 28941618114 36980956479 49307941972 57883236228 73961912958 110942869437 147923825916 221885738874 332828608311 443771477748 665657216622 1331314433244