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4044532128 = 253721319592
BaseRepresentation
bin1111000100010010…
…1010100110100000
3101102212111112001020
43301010222212200
531240400012003
61505200205440
7202140645600
oct36104524640
911385445036
104044532128
11179603a93a
1294a609880
134c5c140a0
142a5226c00
1518a11ed53
hexf112a9a0

4044532128 has 432 divisors, whose sum is σ = 14241618720. Its totient is φ = 993420288.

The previous prime is 4044532097. The next prime is 4044532133. The reversal of 4044532128 is 8212354404.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 68551363 + ... + 68551421.

It is an arithmetic number, because the mean of its divisors is an integer number (32966710).

Almost surely, 24044532128 is an apocalyptic number.

4044532128 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 4044532128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120809360).

4044532128 is an abundant number, since it is smaller than the sum of its proper divisors (10197086592).

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

4044532128 is a wasteful number, since it uses less digits than its factorization.

4044532128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4044532128 is about 63596.6361374562. The cubic root of 4044532128 is about 1593.2701873673.

The spelling of 4044532128 in words is "four billion, forty-four million, five hundred thirty-two thousand, one hundred twenty-eight".