Search a number
-
+
42433313314221 = 333315503862811
BaseRepresentation
bin10011010010111110001101…
…00100010001010110101101
312120020120210120012221022000
421221133012210101112231
521030211411202023341
6230125332305242513
711636464026665634
oct1151370644212655
9176216716187260
1042433313314221
111257a95a14a2a5
124913a3a933439
131a8a5a10c67cb
14a69ad761a51b
154d8bc404e8b6
hex2697c69115ad

42433313314221 has 32 divisors (see below), whose sum is σ = 63065621053440. Its totient is φ = 28198252882800.

The previous prime is 42433313314177. The next prime is 42433313314253. The reversal of 42433313314221 is 12241331333424.

42433313314221 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 3 + 313 + 314 + 2 + 21 = 666.

42433313314221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42433313314221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433313314621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48748906 + ... + 49611716.

It is an arithmetic number, because the mean of its divisors is an integer number (1970800657920).

Almost surely, 242433313314221 is an apocalyptic number.

It is an amenable number.

42433313314221 is a deficient number, since it is larger than the sum of its proper divisors (20632307739219).

42433313314221 is a wasteful number, since it uses less digits than its factorization.

42433313314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868654 (or 868648 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 42433313314221 its reverse (12241331333424), we get a palindrome (54674644647645).

The spelling of 42433313314221 in words is "forty-two trillion, four hundred thirty-three billion, three hundred thirteen million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 9 27 331 993 2979 5503 8937 16509 49527 148581 862811 1821493 2588433 5464479 7765299 16393437 23295897 49180311 285590441 856771323 2570313969 4748048933 7710941907 14244146799 42732440397 128197321191 1571604196823 4714812590469 14144437771407 42433313314221