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54544410144 = 2532783409797
BaseRepresentation
bin110010110011000110…
…011010011000100000
312012210021221010101200
4302303012122120200
51343201332111034
641020220001200
73640442556630
oct626306323040
9165707833350
1054544410144
112114a996714
12a6a2990200
1351b33c5503
1428d60ba6c0
151643806a99
hexcb319a620

54544410144 has 288 divisors, whose sum is σ = 180069402240. Its totient is φ = 15339442176.

The previous prime is 54544410143. The next prime is 54544410209. The reversal of 54544410144 is 44101444545.

54544410144 is a `hidden beast` number, since 5 + 4 + 544 + 4 + 101 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54544410099 and 54544410108.

It is not an unprimeable number, because it can be changed into a prime (54544410143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68436754 + ... + 68437550.

It is an arithmetic number, because the mean of its divisors is an integer number (625240980).

Almost surely, 254544410144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54544410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90034701120).

54544410144 is an abundant number, since it is smaller than the sum of its proper divisors (125524992096).

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

54544410144 is a wasteful number, since it uses less digits than its factorization.

54544410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 54544410144 its reverse (44101444545), we get a palindrome (98645854689).

The spelling of 54544410144 in words is "fifty-four billion, five hundred forty-four million, four hundred ten thousand, one hundred forty-four".