Search a number
-
+
342321130143441 = 3323543115385253
BaseRepresentation
bin100110111010101101101100…
…1010111000111111011010001
31122220001120200010201222111000
41031311123121113013323101
5324332042133304042231
63212020053423012213
7132050612503321131
oct11565333127077321
91586046603658430
10342321130143441
119a08a637744139
1232488165a3a069
13119019899131a7
146076606d32ac1
152989858cc06e6
hex13756d95c7ed1

342321130143441 has 16 divisors (see below), whose sum is σ = 507142724609920. Its totient is φ = 228213947450160.

The previous prime is 342321130143299. The next prime is 342321130143457. The reversal of 342321130143441 is 144341031123243.

342321130143441 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 1 + 1 + 301 + 4 + 344 + 1 = 666.

It is not a de Polignac number, because 342321130143441 - 225 = 342321096589009 is a prime.

It is a super-2 number, since 2×3423211301434412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342321130143396 and 342321130143405.

It is not an unprimeable number, because it can be changed into a prime (342321130143241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60873771 + ... + 66259023.

It is an arithmetic number, because the mean of its divisors is an integer number (31696420288120).

Almost surely, 2342321130143441 is an apocalyptic number.

It is an amenable number.

342321130143441 is a deficient number, since it is larger than the sum of its proper divisors (164821594466479).

342321130143441 is a wasteful number, since it uses less digits than its factorization.

342321130143441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739573 (or 7739567 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 342321130143441 its reverse (144341031123243), we get a palindrome (486662161266684).

The spelling of 342321130143441 in words is "three hundred forty-two trillion, three hundred twenty-one billion, one hundred thirty million, one hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 2354311 5385253 7062933 16155759 21188799 48467277 63566397 145401831 12678560375683 38035681127049 114107043381147 342321130143441