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54140504504440 = 2353143661697181
BaseRepresentation
bin11000100111101100100011…
…00010011111100001111000
321002200210002211212022210211
430103312101202133201320
524044014223123120230
6311051445430320504
714255344113131044
oct1423662142374170
9232623084768724
1054140504504440
111628394a397512
1260a49614b9134
132429573781b23
14d525b3181024
1563d4bac9442a
hex313d9189f878

54140504504440 has 32 divisors (see below), whose sum is σ = 125745687884160. Its totient is φ = 20957614646400.

The previous prime is 54140504504407. The next prime is 54140504504467. The reversal of 54140504504440 is 4440540504145.

54140504504440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 54140504504393 and 54140504504402.

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 7 ways as a sum of consecutive naturals, for example, 21830847351 + ... + 21830849830.

It is an arithmetic number, because the mean of its divisors is an integer number (3929552746380).

Almost surely, 254140504504440 is an apocalyptic number.

It is an amenable number.

54140504504440 is an abundant number, since it is smaller than the sum of its proper divisors (71605183379720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54140504504440 is a wasteful number, since it uses less digits than its factorization.

54140504504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43661697223 (or 43661697219 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

The spelling of 54140504504440 in words is "fifty-four trillion, one hundred forty billion, five hundred four million, five hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 43661697181 87323394362 174646788724 218308485905 349293577448 436616971810 873233943620 1353512612611 1746467887240 2707025225222 5414050450444 6767563063055 10828100900888 13535126126110 27070252252220 54140504504440