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4135233040 = 24551690413
BaseRepresentation
bin1111011001111010…
…1010011000010000
3101200012011121022021
43312132222120100
531432104424130
61522200221224
7204321621001
oct36636523020
911605147267
104135233040
11183225a874
12974a6a814
1350b950073
142b32b71a8
1519308937a
hexf67aa610

4135233040 has 20 divisors (see below), whose sum is σ = 9614417004. Its totient is φ = 1654093184.

The previous prime is 4135233023. The next prime is 4135233059. The reversal of 4135233040 is 403325314.

4135233040 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 1361314816 + 2773918224 = 36896^2 + 52668^2 .

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 = 4135232996 and 4135233014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25845127 + ... + 25845286.

Almost surely, 24135233040 is an apocalyptic number.

4135233040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135233040 is an abundant number, since it is smaller than the sum of its proper divisors (5479183964).

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

4135233040 is a wasteful number, since it uses less digits than its factorization.

4135233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51690426 (or 51690420 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 4135233040 is about 64305.7776564439. Note that the first 3 decimals coincide. The cubic root of 4135233040 is about 1605.0922447088.

Adding to 4135233040 its reverse (403325314), we get a palindrome (4538558354).

The spelling of 4135233040 in words is "four billion, one hundred thirty-five million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51690413 103380826 206761652 258452065 413523304 516904130 827046608 1033808260 2067616520 4135233040