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45444540144 = 2432435938867
BaseRepresentation
bin101010010100101101…
…001010011011110000
311100022002220211111110
4222110231022123300
51221032300241034
632513230113320
73166105134453
oct522455123360
9140262824443
1045444540144
11183002926a3
12898334b840
134393048953
1422b170949a
1512ae99dde9
hexa94b4a6f0

45444540144 has 40 divisors (see below), whose sum is σ = 117406235520. Its totient is φ = 15147168448.

The previous prime is 45444540143. The next prime is 45444540149. The reversal of 45444540144 is 44104544454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444540143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149799 + ... + 1188665.

It is an arithmetic number, because the mean of its divisors is an integer number (2935155888).

Almost surely, 245444540144 is an apocalyptic number.

It is an amenable number.

45444540144 is an abundant number, since it is smaller than the sum of its proper divisors (71961695376).

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

45444540144 is a wasteful number, since it uses less digits than its factorization.

45444540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63237 (or 63231 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 39.

The spelling of 45444540144 in words is "forty-five billion, four hundred forty-four million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 24359 38867 48718 73077 77734 97436 116601 146154 155468 194872 233202 292308 310936 389744 466404 584616 621872 932808 1169232 1865616 946761253 1893522506 2840283759 3787045012 5680567518 7574090024 11361135036 15148180048 22722270072 45444540144