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44014472064 = 2734172979109
BaseRepresentation
bin101000111111011101…
…111000101110000000
311012121102222211220000
4220333131320232000
51210120201101224
632115302520000
73115501560663
oct507735705600
9135542884800
1044014472064
1117737027352
128644436000
1341c59a0214
1421b780b6da
15122916a0c9
hexa3f778b80

44014472064 has 640 divisors, whose sum is σ = 146622960000. Its totient is φ = 13042778112.

The previous prime is 44014472057. The next prime is 44014472101. The reversal of 44014472064 is 46027441044.

44014472064 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 447 + 206 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 403802442 + ... + 403802550.

It is an arithmetic number, because the mean of its divisors is an integer number (229098375).

Almost surely, 244014472064 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 44014472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73311480000).

44014472064 is an abundant number, since it is smaller than the sum of its proper divisors (102608487936).

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

44014472064 is a wasteful number, since it uses less digits than its factorization.

44014472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 44014472064 in words is "forty-four billion, fourteen million, four hundred seventy-two thousand, sixty-four".