Search a number
-
+
11340312114004 = 2219289353249973
BaseRepresentation
bin1010010100000101111101…
…0001100111001101010100
31111011010022211221021110221
42211001133101213031110
52441244424400122004
640041400101124124
72250211335342106
oct245013721471524
944133284837427
1011340312114004
113682443602105
1213319b36b9644
13643504b84b53
142b2c344cd576
15149ec2e53354
hexa505f467354

11340312114004 has 72 divisors (see below), whose sum is σ = 21240445763880. Its totient is φ = 5296302747648.

The previous prime is 11340312113993. The next prime is 11340312114007. The reversal of 11340312114004 is 40041121304311.

It can be written as a sum of positive squares in 4 ways, for example, as 653284227600 + 10687027886404 = 808260^2 + 3269102^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11340312114004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340312114007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45241162 + ... + 45491134.

It is an arithmetic number, because the mean of its divisors is an integer number (295006191165).

Almost surely, 211340312114004 is an apocalyptic number.

It is an amenable number.

11340312114004 is a deficient number, since it is larger than the sum of its proper divisors (9900133649876).

11340312114004 is a wasteful number, since it uses less digits than its factorization.

11340312114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250457 (or 250436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11340312114004 its reverse (40041121304311), we get a palindrome (51381433418315).

The spelling of 11340312114004 in words is "eleven trillion, three hundred forty billion, three hundred twelve million, one hundred fourteen thousand, four".

Divisors: 1 2 4 19 38 76 89 178 353 356 361 706 722 1412 1444 1691 3382 6707 6764 13414 26828 31417 32129 62834 64258 125668 127433 128516 249973 254866 499946 509732 596923 999892 1193846 2387692 4749487 9498974 11341537 18997948 22247597 22683074 44495194 45366148 88240469 88990388 90240253 176480938 180480506 352961876 360961012 422704343 845408686 1676568911 1690817372 3353137822 6706275644 7853401741 8031382517 15706803482 16062765034 31413606964 31854809309 32125530068 63709618618 127419237236 149214633079 298429266158 596858532316 2835078028501 5670156057002 11340312114004