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44014413312 = 293317223479
BaseRepresentation
bin101000111111011101…
…101010011000000000
311012121102212212022000
4220333131222120000
51210120142211222
632115301344000
73115501224462
oct507735523000
9135542785260
1044014413312
1117736a971a1
128644408000
1341c597c55c
1421b77d4132
1512291579ac
hexa3f76a600

44014413312 has 480 divisors, whose sum is σ = 144719308800. Its totient is φ = 13180502016.

The previous prime is 44014413277. The next prime is 44014413319. The reversal of 44014413312 is 21331441044.

Adding to 44014413312 its reverse (21331441044), we get a palindrome (65345854356).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44014413319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91887889 + ... + 91888367.

It is an arithmetic number, because the mean of its divisors is an integer number (301498560).

Almost surely, 244014413312 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 44014413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72359654400).

44014413312 is an abundant number, since it is smaller than the sum of its proper divisors (100704895488).

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

44014413312 is a wasteful number, since it uses less digits than its factorization.

44014413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 44014413312 in words is "forty-four billion, fourteen million, four hundred thirteen thousand, three hundred twelve".