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44000040000 = 26354731069
BaseRepresentation
bin101000111110100110…
…110101010001000000
311012120102211121211010
4220332212311101000
51210103002240000
632114025320520
73115235112000
oct507646652100
9135512747733
1044000040000
111772996a324
12863b636140
1341c29b9237
1421b5932000
151227c68d50
hexa3e9b5440

44000040000 has 560 divisors, whose sum is σ = 169808144000. Its totient is φ = 10047744000.

The previous prime is 44000039971. The next prime is 44000040017. The reversal of 44000040000 is 4000044.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 41159466 + ... + 41160534.

Almost surely, 244000040000 is an apocalyptic number.

44000040000 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 44000040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84904072000).

44000040000 is an abundant number, since it is smaller than the sum of its proper divisors (125808104000).

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

44000040000 is an equidigital number, since it uses as much as digits as its factorization.

44000040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 44000040000 its reverse (4000044), we get a palindrome (44004040044).

The spelling of 44000040000 in words is "forty-four billion, forty thousand", and thus it is an eban number.