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54023240041 = 41256692
BaseRepresentation
bin110010010100000010…
…010011100101101001
312011102222020221102021
4302110002103211221
51341114422140131
640452401304441
73621513651361
oct622402234551
9164388227367
1054023240041
1120a0278a921
12a578335121
13512c43a534
142886bb39a1
151612baae11
hexc94093969

54023240041 has 9 divisors (see below), whose sum is σ = 55382787013. Its totient is φ = 52696302880.

The previous prime is 54023239973. The next prime is 54023240057. The reversal of 54023240041 is 14004232045.

It is a happy number.

The square root of 54023240041 is 232429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29780750041 + 24242490000 = 172571^2 + 155700^2 .

It is not a de Polignac number, because 54023240041 - 229 = 53486369129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54023239988 and 54023240015.

It is not an unprimeable number, because it can be changed into a prime (54023240641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9526755 + ... + 9532423.

Almost surely, 254023240041 is an apocalyptic number.

54023240041 is the 232429-th square number.

54023240041 is the 116215-th centered octagonal number.

It is an amenable number.

54023240041 is a deficient number, since it is larger than the sum of its proper divisors (1359546972).

54023240041 is an frugal number, since it uses more digits than its factorization.

54023240041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Multiplying 54023240041 by its sum of digits (25), we get a square (1350581001025 = 11621452).

Adding to 54023240041 its reverse (14004232045), we get a palindrome (68027472086).

The spelling of 54023240041 in words is "fifty-four billion, twenty-three million, two hundred forty thousand, forty-one".

Divisors: 1 41 1681 5669 232429 9529589 32137561 1317640001 54023240041