Search a number
-
+
2054144141 = 721033671109
BaseRepresentation
bin111101001101111…
…1100000010001101
312022011020100000122
41322123330002031
513201330103031
6535455234325
7101621636300
oct17233740215
95264210018
102054144141
11964568995
12493b189a5
13269753b0a
14156b50b37
15c050a47b
hex7a6fc08d

2054144141 has 24 divisors (see below), whose sum is σ = 2421469440. Its totient is φ = 1737281952.

The previous prime is 2054144129. The next prime is 2054144143. The reversal of 2054144141 is 1414414502.

It is not a de Polignac number, because 2054144141 - 218 = 2053881997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2054144141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054144143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851695 + ... + 1852803.

It is an arithmetic number, because the mean of its divisors is an integer number (100894560).

Almost surely, 22054144141 is an apocalyptic number.

It is an amenable number.

2054144141 is a deficient number, since it is larger than the sum of its proper divisors (367325299).

2054144141 is a wasteful number, since it uses less digits than its factorization.

2054144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 2054144141 is about 45322.6669669824. Note that the first 3 decimals coincide. The cubic root of 2054144141 is about 1271.1895236932.

Adding to 2054144141 its reverse (1414414502), we get a palindrome (3468558643).

The spelling of 2054144141 in words is "two billion, fifty-four million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 49 103 367 721 1109 2569 5047 7763 17983 37801 54341 114227 264607 407003 799589 1852249 2849021 5597123 19943147 41921309 293449163 2054144141