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44442304896 = 273112412569
BaseRepresentation
bin101001011000111101…
…111100000110000000
311020201021001000012110
4221120331330012000
51212004212224041
632225544455320
73132215234013
oct513075740600
9136637030173
1044442304896
1117936582500
12874377a540
134263508242
14221857937a
1512519ca516
hexa58f7c180

44442304896 has 288 divisors, whose sum is σ = 133233042600. Its totient is φ = 13115801600.

The previous prime is 44442304889. The next prime is 44442304969. The reversal of 44442304896 is 69840324444.

It is a super-3 number, since 3×444423048963 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78105700 + ... + 78106268.

Almost surely, 244442304896 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 44442304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66616521300).

44442304896 is an abundant number, since it is smaller than the sum of its proper divisors (88790737704).

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

44442304896 is a wasteful number, since it uses less digits than its factorization.

44442304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 44442304896 in words is "forty-four billion, four hundred forty-two million, three hundred four thousand, eight hundred ninety-six".