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44019234816 = 211379891019
BaseRepresentation
bin101000111111110000…
…000011100000000000
311012121202221211011020
4220333300003200000
51210122411003231
632115552545440
73115560215364
oct507760034000
9135552854136
1044019234816
111773978a707
128645b52280
1341c697a00b
1421b82cb2a4
1512297ab396
hexa3fc03800

44019234816 has 192 divisors, whose sum is σ = 120294720000. Its totient is φ = 14310506496.

The previous prime is 44019234811. The next prime is 44019234839. The reversal of 44019234816 is 61843291044.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×440192348162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44019234811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43197955 + ... + 43198973.

It is an arithmetic number, because the mean of its divisors is an integer number (626535000).

Almost surely, 244019234816 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 44019234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360000).

44019234816 is an abundant number, since it is smaller than the sum of its proper divisors (76275485184).

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

44019234816 is a wasteful number, since it uses less digits than its factorization.

44019234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 44019234816 in words is "forty-four billion, nineteen million, two hundred thirty-four thousand, eight hundred sixteen".