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43448021430816 = 25341199547110139
BaseRepresentation
bin10011110000100000001111…
…11000100011001000100000
312200211120221022120002201010
421320100013320203020200
521143323021441241231
6232223425005540520
712103005321451242
oct1170200770431040
9180746838502633
1043448021430816
1112931225456952
124a58626574740
131b321915c2b02
14aa2c771c8092
155052b1b71546
hex278407e23220

43448021430816 has 192 divisors, whose sum is σ = 117452934144000. Its totient is φ = 14054479718400.

The previous prime is 43448021430661. The next prime is 43448021430829. The reversal of 43448021430816 is 61803412084434.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4285232275 + ... + 4285242413.

It is an arithmetic number, because the mean of its divisors is an integer number (611734032000).

Almost surely, 243448021430816 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 43448021430816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58726467072000).

43448021430816 is an abundant number, since it is smaller than the sum of its proper divisors (74004912713184).

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

43448021430816 is a wasteful number, since it uses less digits than its factorization.

43448021430816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15863 (or 15855 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 43448021430816 in words is "forty-three trillion, four hundred forty-eight billion, twenty-one million, four hundred thirty thousand, eight hundred sixteen".