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4042133312 = 26739722727
BaseRepresentation
bin1111000011101110…
…0000111101000000
3101102200222122111012
43300323200331000
531234241231222
61505032540052
7202111365140
oct36073407500
911380878435
104042133312
111794751648
12949851628
134c5584279
142a4ba0920
15189ce91e2
hexf0ee0f40

4042133312 has 56 divisors (see below), whose sum is σ = 9190475904. Its totient is φ = 1727903232.

The previous prime is 4042133309. The next prime is 4042133353. The reversal of 4042133312 is 2133312404.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166493 + ... + 189219.

Almost surely, 24042133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595237952).

4042133312 is an abundant number, since it is smaller than the sum of its proper divisors (5148342592).

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

4042133312 is a wasteful number, since it uses less digits than its factorization.

4042133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23143 (or 23133 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4042133312 is about 63577.7737263582. The cubic root of 4042133312 is about 1592.9551350325.

Adding to 4042133312 its reverse (2133312404), we get a palindrome (6175445716).

The spelling of 4042133312 in words is "four billion, forty-two million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 397 448 794 1588 2779 3176 5558 6352 11116 12704 22232 22727 25408 44464 45454 88928 90908 159089 177856 181816 318178 363632 636356 727264 1272712 1454528 2545424 5090848 9022619 10181696 18045238 36090476 63158333 72180952 126316666 144361904 252633332 288723808 505266664 577447616 1010533328 2021066656 4042133312