Search a number
-
+
332220142142041 = 17155312583619641
BaseRepresentation
bin100101110001001110000011…
…1100011110100001001011001
31121120021221020220202201021111
41023202130013203310021121
5322021043322342021131
63134323454254340321
7126656053553046466
oct11342340743641131
91546257226681244
10332220142142041
1196945853306a3a
12313165a54ba6a1
131134b2c037c52a
145c0777d87a66d
152861c1d031ab1
hex12e27078f4259

332220142142041 has 8 divisors (see below), whose sum is σ = 351989008626024. Its totient is φ = 312476442900480.

The previous prime is 332220142142029. The next prime is 332220142142111. The reversal of 332220142142041 is 140241241022233.

It can be written as a sum of positive squares in 4 ways, for example, as 47725161555600 + 284494980586441 = 6908340^2 + 16866979^2 .

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

It is not a de Polignac number, because 332220142142041 - 213 = 332220142133849 is a prime.

It is a super-3 number, since 3×3322201421420413 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332220142141994 and 332220142142012.

It is not an unprimeable number, because it can be changed into a prime (332220142142011) 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 7 ways as a sum of consecutive naturals, for example, 6291783420 + ... + 6291836221.

It is an arithmetic number, because the mean of its divisors is an integer number (43998626078253).

Almost surely, 2332220142142041 is an apocalyptic number.

It is an amenable number.

332220142142041 is a deficient number, since it is larger than the sum of its proper divisors (19768866483983).

332220142142041 is a wasteful number, since it uses less digits than its factorization.

332220142142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583621211.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 332220142142041 its reverse (140241241022233), we get a palindrome (472461383164274).

The spelling of 332220142142041 in words is "three hundred thirty-two trillion, two hundred twenty billion, one hundred forty-two million, one hundred forty-two thousand, forty-one".

Divisors: 1 17 1553 26401 12583619641 213921533897 19542361302473 332220142142041