Search a number
-
+
312141434304221 = 4432722632587969
BaseRepresentation
bin100011011111001000001011…
…1010011111011011011011101
31111221012102121020121202220022
41012332100113103323123131
5311403111124140213341
63023511443442201525
7122514321504320624
oct10676202723733335
91457172536552808
10312141434304221
1190504491177455
122b0131269532a5
1310522a708862c2
145711a243246bb
1526147ad36ee4b
hex11be4174fb6dd

312141434304221 has 8 divisors (see below), whose sum is σ = 312847312451520. Its totient is φ = 311435561878272.

The previous prime is 312141434304209. The next prime is 312141434304223. The reversal of 312141434304221 is 122403434141213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312141434304221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141434304223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119318525 + ... + 121906493.

It is an arithmetic number, because the mean of its divisors is an integer number (39105914056440).

Almost surely, 2312141434304221 is an apocalyptic number.

It is an amenable number.

312141434304221 is a deficient number, since it is larger than the sum of its proper divisors (705878147299).

312141434304221 is a wasteful number, since it uses less digits than its factorization.

312141434304221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860675.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 312141434304221 its reverse (122403434141213), we get a palindrome (434544868445434).

The spelling of 312141434304221 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-four million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 443 272263 2587969 120612509 1146470267 704608203847 312141434304221