Search a number
-
+
13311212344240 = 2454717401203449
BaseRepresentation
bin1100000110110100001000…
…0101010101001110110000
31202010112120021102122210111
43001231002011111032300
53221042330330003430
644151030405111104
72542463152026226
oct301550205251660
952115507378714
1013311212344240
114272287389198
1215ab9760b8494
1375731b6cb535
143403a2310b16
151813c637bc2a
hexc1b421553b0

13311212344240 has 80 divisors (see below), whose sum is σ = 31609020643200. Its totient is φ = 5210872934400.

The previous prime is 13311212344219. The next prime is 13311212344247. The reversal of 13311212344240 is 4244321211331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133112123442402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13311212344247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65326036 + ... + 65529484.

It is an arithmetic number, because the mean of its divisors is an integer number (395112758040).

Almost surely, 213311212344240 is an apocalyptic number.

13311212344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311212344240 is an abundant number, since it is smaller than the sum of its proper divisors (18297808298960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311212344240 is a wasteful number, since it uses less digits than its factorization.

13311212344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220910 (or 220904 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13311212344240 its reverse (4244321211331), we get a palindrome (17555533555571).

The spelling of 13311212344240 in words is "thirteen trillion, three hundred eleven billion, two hundred twelve million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 17401 34802 69604 87005 139208 174010 203449 278416 348020 406898 696040 813796 817847 1017245 1392080 1627592 1635694 2034490 3255184 3271388 4068980 4089235 6542776 8137960 8178470 9562103 13085552 16275920 16356940 19124206 32713880 38248412 47810515 65427760 76496824 95621030 152993648 191242060 382484120 764968240 3540216049 7080432098 14160864196 17701080245 28321728392 35402160490 56643456784 70804320980 141608641960 166390154303 283217283920 332780308606 665560617212 831950771515 1331121234424 1663901543030 2662242468848 3327803086060 6655606172120 13311212344240