Search a number
-
+
323424140414121 = 32101635356005373
BaseRepresentation
bin100100110001001110000110…
…1000000000100110010101001
31120102011001020102200211121200
41021202130031000010302221
5314342440114421222441
63103510555434554413
7125060423463014145
oct11142341500046251
91512131212624550
10323424140414121
1194064453682aaa
1230335922298a09
1310b609c4c76a96
1459c1b51c9a225
15275d00dd0c7b6
hex126270d004ca9

323424140414121 has 24 divisors (see below), whose sum is σ = 471867902121096. Its totient is φ = 213447673766400.

The previous prime is 323424140414101. The next prime is 323424140414173. The reversal of 323424140414121 is 121414041424323.

323424140414121 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 241 + 404 + 1 + 4 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157120935274521 + 166303205139600 = 12534789^2 + 12895860^2 .

It is not a de Polignac number, because 323424140414121 - 27 = 323424140413993 is a prime.

It is a super-2 number, since 2×3234241404141212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323424140414101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22227810 + ... + 33777563.

It is an arithmetic number, because the mean of its divisors is an integer number (19661162588379).

Almost surely, 2323424140414121 is an apocalyptic number.

It is an amenable number.

323424140414121 is a deficient number, since it is larger than the sum of its proper divisors (148443761706975).

323424140414121 is a wasteful number, since it uses less digits than its factorization.

323424140414121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56011833 (or 56011830 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 323424140414121 its reverse (121414041424323), we get a palindrome (444838181838444).

The spelling of 323424140414121 in words is "three hundred twenty-three trillion, four hundred twenty-four billion, one hundred forty million, four hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 6353 19059 57177 641653 1924959 5774877 56005373 168016119 504048357 5656542673 16969628019 50908884057 355802134669 1067406404007 3202219212021 35936015601569 107808046804707 323424140414121