Search a number
-
+
332332120113014 = 27179714395396349
BaseRepresentation
bin100101110010000010001100…
…1111101110111111101110110
31121120200122021212002000201202
41023210010121331313331312
5322024412140222104024
63134451133543052502
7130000126513102250
oct11344043175677566
91546618255060652
10332332120113014
1196989295a179aa
1231334236741132
1311358a275ac958
145c0cd63622cd0
152864ac3ad9bae
hex12e4119f77f76

332332120113014 has 32 divisors (see below), whose sum is σ = 609443499873600. Its totient is φ = 132667972743168.

The previous prime is 332332120113013. The next prime is 332332120113047. The reversal of 332332120113014 is 410311021233233.

It is a super-2 number, since 2×3323321201130142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332332120113013) 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 15 ways as a sum of consecutive naturals, for example, 7197675089 + ... + 7197721260.

It is an arithmetic number, because the mean of its divisors is an integer number (19045109371050).

Almost surely, 2332332120113014 is an apocalyptic number.

332332120113014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

332332120113014 is a deficient number, since it is larger than the sum of its proper divisors (277111379760586).

332332120113014 is a wasteful number, since it uses less digits than its factorization.

332332120113014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14395396472.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 332332120113014 its reverse (410311021233233), we get a palindrome (742643141346247).

The spelling of 332332120113014 in words is "three hundred thirty-two trillion, three hundred thirty-two billion, one hundred twenty million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 7 14 17 34 97 119 194 238 679 1358 1649 3298 11543 23086 14395396349 28790792698 100767774443 201535548886 244721737933 489443475866 1396353445853 1713052165531 2792706891706 3426104331062 9774474120971 19548948241942 23738008579501 47476017159002 166166060056507 332332120113014