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13341244311340 = 22511536701170749
BaseRepresentation
bin1100001000100100000000…
…1000001100011100101100
31202020102002020212122210021
43002021000020030130230
53222040332020430330
644212514422251524
72544605320365511
oct302110010143454
952212066778707
1013341244311340
114283a98676610
1215b5757886ba4
1375a0c65a6a7a
14341a10abb308
15182082bbc67a
hexc224020c72c

13341244311340 has 96 divisors (see below), whose sum is σ = 31145078664000. Its totient is φ = 4759088256000.

The previous prime is 13341244311271. The next prime is 13341244311377. The reversal of 13341244311340 is 4311344214331.

It is a junction number, because it is equal to n+sod(n) for n = 13341244311296 and 13341244311305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78048286 + ... + 78219034.

It is an arithmetic number, because the mean of its divisors is an integer number (324427902750).

Almost surely, 213341244311340 is an apocalyptic number.

13341244311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341244311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572539332000).

13341244311340 is an abundant number, since it is smaller than the sum of its proper divisors (17803834352660).

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

13341244311340 is a wasteful number, since it uses less digits than its factorization.

13341244311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177523 (or 177521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 13341244311340 its reverse (4311344214331), we get a palindrome (17652588525671).

The spelling of 13341244311340 in words is "thirteen trillion, three hundred forty-one billion, two hundred forty-four million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 6701 11660 13402 26804 33505 67010 73711 134020 147422 170749 294844 341498 355153 368555 682996 710306 737110 853745 1420612 1474220 1707490 1775765 1878239 3414980 3551530 3756478 3906683 7103060 7512956 7813366 9049697 9391195 15626732 18099394 18782390 19533415 36198788 37564780 39066830 45248485 78133660 90496970 99546667 180993940 199093334 398186668 497733335 995466670 1144189049 1990933340 2288378098 4576756196 5720945245 11441890490 12586079539 22883780980 25172159078 50344318156 60642019597 62930397695 121284039194 125860795390 242568078388 251721590780 303210097985 606420195970 667062215567 1212840391940 1334124431134 2668248862268 3335311077835 6670622155670 13341244311340