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44080840440000 = 2633547132319501
BaseRepresentation
bin10100000010111010111101…
…10101011111100011000000
312210002002100120011120012000
422001131132311133203000
521234210030123040000
6233430243013304000
712166510214334630
oct1201353665374300
9183062316146160
1044080840440000
1113055641274831
124b3b1b4335000
131b79a61669a80
14ac574a0486c0
1551699cd5a000
hex28175ed5f8c0

44080840440000 has 2240 divisors, whose sum is σ = 207980760852480. Its totient is φ = 8895744000000.

The previous prime is 44080840439941. The next prime is 44080840440017. The reversal of 44080840440000 is 4404808044.

It is a happy number.

44080840440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2260430250 + ... + 2260449750.

It is an arithmetic number, because the mean of its divisors is an integer number (92848553952).

Almost surely, 244080840440000 is an apocalyptic number.

44080840440000 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 44080840440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103990380426240).

44080840440000 is an abundant number, since it is smaller than the sum of its proper divisors (163899920412480).

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

44080840440000 is a wasteful number, since it uses less digits than its factorization.

44080840440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19554 counting only the distinct ones).

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

The spelling of 44080840440000 in words is "forty-four trillion, eighty billion, eight hundred forty million, four hundred forty thousand".