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44171428608 = 2832192232309
BaseRepresentation
bin101001001000110100…
…101000001100000000
311020000101100001210100
4221020310220030000
51210430341203413
632143031002400
73122415643146
oct511064501400
9136011301710
1044171428608
11178076900aa
128688b09400
13421c366608
1421d05c7596
151237d20a73
hexa48d28300

44171428608 has 324 divisors, whose sum is σ = 140317697520. Its totient is φ = 13336621056.

The previous prime is 44171428571. The next prime is 44171428663. The reversal of 44171428608 is 80682417144.

44171428608 is a `hidden beast` number, since 4 + 4 + 1 + 7 + 14 + 28 + 608 = 666.

It is a super-2 number, since 2×441714286082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19128958 + ... + 19131266.

Almost surely, 244171428608 is an apocalyptic number.

44171428608 is a gapful number since it is divisible by the number (48) 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 44171428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70158848760).

44171428608 is an abundant number, since it is smaller than the sum of its proper divisors (96146268912).

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

44171428608 is a wasteful number, since it uses less digits than its factorization.

44171428608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 44171428608 in words is "forty-four billion, one hundred seventy-one million, four hundred twenty-eight thousand, six hundred eight".