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4044171040 = 255713377507
BaseRepresentation
bin1111000100001101…
…0010011100100000
3101102211211011201121
43301003102130200
531240301433130
61505144342024
7202134613060
oct36103223440
911384734647
104044171040
111795913618
1294a474914
134c5b18920
142a51713a0
1518a09cd7a
hexf10d2720

4044171040 has 192 divisors, whose sum is σ = 12078630144. Its totient is φ = 1245155328.

The previous prime is 4044170993. The next prime is 4044171059. The reversal of 4044171040 is 401714404.

It is a junction number, because it is equal to n+sod(n) for n = 4044170996 and 4044171014.

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 31 ways as a sum of consecutive naturals, for example, 534967 + ... + 542473.

It is an arithmetic number, because the mean of its divisors is an integer number (62909532).

Almost surely, 24044171040 is an apocalyptic number.

4044171040 is a gapful number since it is divisible by the number (40) 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 4044171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039315072).

4044171040 is an abundant number, since it is smaller than the sum of its proper divisors (8034459104).

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

4044171040 is a wasteful number, since it uses less digits than its factorization.

4044171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4044171040 is about 63593.7971818007. The cubic root of 4044171040 is about 1593.2227712634. Note that the first 3 decimals are identical.

Adding to 4044171040 its reverse (401714404), we get a palindrome (4445885444).

The spelling of 4044171040 in words is "four billion, forty-four million, one hundred seventy-one thousand, forty".