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44448040000 = 265471312211
BaseRepresentation
bin101001011001010011…
…110100010001000000
311020201122211101021201
4221121103310101000
51212012144240000
632230311430544
73132315051310
oct513123642100
9136648741251
1044448040000
111793983a361
128745685454
1342647657b0
14221922d440
15125225e96a
hexa594f4440

44448040000 has 280 divisors, whose sum is σ = 135662424128. Its totient is φ = 14065920000.

The previous prime is 44448039967. The next prime is 44448040019. The reversal of 44448040000 is 4084444.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3633895 + ... + 3646105.

Almost surely, 244448040000 is an apocalyptic number.

44448040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44448040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67831212064).

44448040000 is an abundant number, since it is smaller than the sum of its proper divisors (91214384128).

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

44448040000 is a wasteful number, since it uses less digits than its factorization.

44448040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 44448040000 in words is "forty-four billion, four hundred forty-eight million, forty thousand".