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4040133520 = 24550501669
BaseRepresentation
bin1111000011001111…
…1000101110010000
3101102120020001021211
43300303320232100
531233233233040
61504522025504
7202055365633
oct36063705620
911376201254
104040133520
111793606125
12949048294
134c5033c67
142a47ddc1a
15189a518ea
hexf0cf8b90

4040133520 has 20 divisors (see below), whose sum is σ = 9393310620. Its totient is φ = 1616053376.

The previous prime is 4040133511. The next prime is 4040133523. The reversal of 4040133520 is 253310404.

4040133520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1694474896 + 2345658624 = 41164^2 + 48432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 4040133491 and 4040133500.

It is not an unprimeable number, because it can be changed into a prime (4040133523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25250755 + ... + 25250914.

It is an arithmetic number, because the mean of its divisors is an integer number (469665531).

Almost surely, 24040133520 is an apocalyptic number.

4040133520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040133520 is an abundant number, since it is smaller than the sum of its proper divisors (5353177100).

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

4040133520 is a wasteful number, since it uses less digits than its factorization.

4040133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50501682 (or 50501676 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4040133520 is about 63562.0446493031. The cubic root of 4040133520 is about 1592.6923938697.

Adding to 4040133520 its reverse (253310404), we get a palindrome (4293443924).

The spelling of 4040133520 in words is "four billion, forty million, one hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 50501669 101003338 202006676 252508345 404013352 505016690 808026704 1010033380 2020066760 4040133520