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54534241120144 = 2414922875101141
BaseRepresentation
bin11000110011001001111100…
…00100011110111110010000
321011002102102000202210210111
430121210332010132332100
524121442111211321034
6311552403504411104
714325653222135332
oct1431447604367620
9234072360683714
1054534241120144
1116415929453555
126149127016a94
1324577315a68c6
14d67685573452
1564886287a364
hex31993e11ef90

54534241120144 has 20 divisors (see below), whose sum is σ = 106369220310300. Its totient is φ = 27084119749760.

The previous prime is 54534241120091. The next prime is 54534241120187. The reversal of 54534241120144 is 44102114243545.

54534241120144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7476177747600 + 47058063372544 = 2734260^2 + 6859888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54534241120097 and 54534241120106.

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 3 ways as a sum of consecutive naturals, for example, 11437548187 + ... + 11437552954.

It is an arithmetic number, because the mean of its divisors is an integer number (5318461015515).

Almost surely, 254534241120144 is an apocalyptic number.

It is an amenable number.

54534241120144 is a deficient number, since it is larger than the sum of its proper divisors (51834979190156).

54534241120144 is a wasteful number, since it uses less digits than its factorization.

54534241120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22875101298 (or 22875101292 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 54534241120144 its reverse (44102114243545), we get a palindrome (98636355363689).

The spelling of 54534241120144 in words is "fifty-four trillion, five hundred thirty-four billion, two hundred forty-one million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 22875101141 45750202282 91500404564 183000809128 366001618256 3408390070009 6816780140018 13633560280036 27267120560072 54534241120144