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44484048000 = 273253744131
BaseRepresentation
bin101001011011011101…
…001011010010000000
311020211011120202222100
4221123131023102000
51212100404014000
632234035310400
73133233112020
oct513335132200
9136734522870
1044484048000
11179580a3737
12875574b400
13426c0622c2
14221dd23a80
1512554c3a00
hexa5b74b480

44484048000 has 384 divisors, whose sum is σ = 182579379840. Its totient is φ = 10167552000.

The previous prime is 44484047999. The next prime is 44484048023. The reversal of 44484048000 is 84048444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985935 + ... + 1030065.

It is an arithmetic number, because the mean of its divisors is an integer number (475467135).

Almost surely, 244484048000 is an apocalyptic number.

44484048000 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 44484048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91289689920).

44484048000 is an abundant number, since it is smaller than the sum of its proper divisors (138095331840).

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

44484048000 is a wasteful number, since it uses less digits than its factorization.

44484048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44173 (or 44148 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 44484048000 in words is "forty-four billion, four hundred eighty-four million, forty-eight thousand".