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54240311304245 = 51113160217125017
BaseRepresentation
bin11000101010100110011100…
…11111001110000000110101
321010001022201112222002012202
430111103032133032000311
524102133124143213440
6311205353252354245
714265506323002503
oct1425231637160065
9233038645862182
1054240311304245
1116312206764430
126100176615985
132435abb248311
14d573606ad673
15640dad069615
hex3154ce7ce035

54240311304245 has 32 divisors (see below), whose sum is σ = 71549285613696. Its totient is φ = 39145409971200.

The previous prime is 54240311304227. The next prime is 54240311304301.

54240311304245 is nontrivially palindromic in base 10.

54240311304245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54240311304245 - 26 = 54240311304181 is a prime.

It is a super-2 number, since 2×542403113042452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54240311304199 and 54240311304208.

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 31 ways as a sum of consecutive naturals, for example, 433800977 + ... + 433925993.

It is an arithmetic number, because the mean of its divisors is an integer number (2235915175428).

Almost surely, 254240311304245 is an apocalyptic number.

54240311304245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54240311304245 is a deficient number, since it is larger than the sum of its proper divisors (17308974309451).

54240311304245 is a wasteful number, since it uses less digits than its factorization.

54240311304245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185381.

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 5424031 and 1304245, that added together give a palindrome (6728276).

The spelling of 54240311304245 in words is "fifty-four trillion, two hundred forty billion, three hundred eleven million, three hundred four thousand, two hundred forty-five".

Divisors: 1 5 11 55 131 655 1441 7205 60217 125017 301085 625085 662387 1375187 3311935 6875935 7888427 16377227 39442135 81886135 86772697 180149497 433863485 900747485 7528148689 37640743445 82809635579 414048177895 986187478259 4930937391295 10848062260849 54240311304245