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13421040113124 = 223273171193140827
BaseRepresentation
bin1100001101001101010001…
…0101000001010111100100
31202112001001100202101111100
43003103110111001113210
53224342242232104444
644313312443240100
72553431612456160
oct303232425012744
952461040671440
1013421040113124
114304916292536
121609107219030
137647a2314727
1434582069dca0
151841a32a2e69
hexc34d45415e4

13421040113124 has 144 divisors (see below), whose sum is σ = 38927080902528. Its totient is φ = 3819255197184.

The previous prime is 13421040113051. The next prime is 13421040113213. The reversal of 13421040113124 is 42131104012431.

It is a happy number.

13421040113124 is a `hidden beast` number, since 1 + 3 + 421 + 0 + 4 + 0 + 113 + 124 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95231199 + ... + 95372025.

It is an arithmetic number, because the mean of its divisors is an integer number (270326950712).

Almost surely, 213421040113124 is an apocalyptic number.

13421040113124 is a gapful number since it is divisible by the number (14) 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 13421040113124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463540451264).

13421040113124 is an abundant number, since it is smaller than the sum of its proper divisors (25506040789404).

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

13421040113124 is a wasteful number, since it uses less digits than its factorization.

13421040113124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142354 (or 142349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13421040113124 its reverse (42131104012431), we get a palindrome (55552144125555).

The spelling of 13421040113124 in words is "thirteen trillion, four hundred twenty-one billion, forty million, one hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1193 1268 1902 2219 2386 2853 3579 3804 4438 4772 5706 6657 7158 8351 8876 10737 11412 13314 14316 16702 19971 21474 25053 26628 33404 39942 42948 50106 75159 79884 100212 140827 150318 281654 300636 378181 422481 563308 756362 844962 985789 1134543 1267443 1512724 1689924 1971578 2269086 2534886 2647267 2957367 3403629 3943156 4538172 5069772 5294534 5914734 6807258 7941801 8872101 10589068 11829468 13614516 15883602 17744202 23825403 31767204 35488404 44642159 47650806 89284318 95301612 133926477 168006611 178568636 267852954 312495113 336013222 401779431 504019833 535705908 624990226 672026444 803558862 937485339 1008039666 1176046277 1249980452 1512059499 1607117724 1874970678 2016079332 2352092554 2812456017 3024118998 3528138831 3749941356 4704185108 5624912034 6048237996 7056277662 10584416493 11249824068 14112555324 21168832986 42337665972 53258095687 106516191374 159774287061 213032382748 319548574122 372806669809 479322861183 639097148244 745613339618 958645722366 1118420009427 1491226679236 1917291444732 2236840018854 3355260028281 4473680037708 6710520056562 13421040113124