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4113135144 = 233257126877
BaseRepresentation
bin1111010100101001…
…0111011000101000
3101121122120220200200
43311022113120220
531410430311034
61520050432200
7203633033436
oct36512273050
911548526620
104113135144
111820837348
12969592660
135071b3aa1
142b03a3d56
15191171a99
hexf5297628

4113135144 has 24 divisors (see below), whose sum is σ = 11139741210. Its totient is φ = 1371045024.

The previous prime is 4113135113. The next prime is 4113135161. The reversal of 4113135144 is 4415313114.

4113135144 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 only one way, i.e., 3965220900 + 147914244 = 62970^2 + 12162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28563367 + ... + 28563510.

Almost surely, 24113135144 is an apocalyptic number.

It is an amenable number.

4113135144 is an abundant number, since it is smaller than the sum of its proper divisors (7026606066).

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

4113135144 is a wasteful number, since it uses less digits than its factorization.

4113135144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57126889 (or 57126882 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4113135144 is about 64133.7285989206. The cubic root of 4113135144 is about 1602.2280345154.

Adding to 4113135144 its reverse (4415313114), we get a palindrome (8528448258).

The spelling of 4113135144 in words is "four billion, one hundred thirteen million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57126877 114253754 171380631 228507508 342761262 457015016 514141893 685522524 1028283786 1371045048 2056567572 4113135144