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344304324002142 = 23273283383226449
BaseRepresentation
bin100111001001001001001100…
…0111011010100000101011110
31200011002011122022212101200100
41032102102120323110011132
5330112040223421032032
63220135120050041530
7132344111055063540
oct11622223073240536
91604064568771610
10344304324002142
119a7847099a4249
12327485995792a6
1311a169b239b04a
1461045bd767690
1529c122b61a97c
hex1392498ed415e

344304324002142 has 48 divisors (see below), whose sum is σ = 852589064901600. Its totient is φ = 98369666666496.

The previous prime is 344304324002117. The next prime is 344304324002153. The reversal of 344304324002142 is 241200423403443.

344304324002142 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 0 + 4 + 32 + 400 + 214 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344304324002097 and 344304324002106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37476267 + ... + 45750182.

It is an arithmetic number, because the mean of its divisors is an integer number (17762272185450).

Almost surely, 2344304324002142 is an apocalyptic number.

344304324002142 is an abundant number, since it is smaller than the sum of its proper divisors (508284740899458).

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

344304324002142 is a wasteful number, since it uses less digits than its factorization.

344304324002142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83259297 (or 83259294 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344304324002142 its reverse (241200423403443), we get a palindrome (585504747405585).

The spelling of 344304324002142 in words is "three hundred forty-four trillion, three hundred four billion, three hundred twenty-four million, two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 32833 65666 98499 196998 229831 295497 459662 590994 689493 1378986 2068479 4136958 83226449 166452898 249679347 499358694 582585143 749038041 1165170286 1498076082 1747755429 3495510858 5243266287 10486532574 2732574000017 5465148000034 8197722000051 16395444000102 19128018000119 24593166000153 38256036000238 49186332000306 57384054000357 114768108000714 172152162001071 344304324002142