Search a number
-
+
442422323224244 = 221125771584221333
BaseRepresentation
bin110010010011000010111100…
…1011010101001111010110100
32011000111011100101200122012022
41210212011321122221322310
5430442121404221133434
64204542002012412312
7162121646414461526
oct14446057132517264
92130434311618168
10442422323224244
11118a73287596700
12417544b0a77098
1315cb33277a982c
147b374d7413a16
1536236473ea22e
hex19261796a9eb4

442422323224244 has 36 divisors (see below), whose sum is σ = 852498015809412. Its totient is φ = 200752527191040.

The previous prime is 442422323224201. The next prime is 442422323224279.

442422323224244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 427143902851600 + 15278420372644 = 20667460^2 + 3908762^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442422323224195 and 442422323224204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791831399 + ... + 792389934.

Almost surely, 2442422323224244 is an apocalyptic number.

442422323224244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442422323224244 is a deficient number, since it is larger than the sum of its proper divisors (410075692585168).

442422323224244 is a wasteful number, since it uses less digits than its factorization.

442422323224244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584221936 (or 1584221923 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 44.

The spelling of 442422323224244 in words is "four hundred forty-two trillion, four hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 121 242 484 577 1154 2308 6347 12694 25388 69817 139634 279268 1584221333 3168442666 6336885332 17426434663 34852869326 69705738652 191690781293 383381562586 766763125172 914095709141 1828191418282 3656382836564 10055052800551 20110105601102 40220211202204 110605580806061 221211161612122 442422323224244