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13410540342012 = 223111749931196911
BaseRepresentation
bin1100001100100110001001…
…1111100100101011111100
31202111000221121120202021210
43003021202133210223330
53224204241311421022
644304414524524420
72552610456052452
oct303114237445374
952430847522253
1013410540342012
114300418458050
1216070769b0710
137637bac22408
143451060049d2
15183c8b5c4a0c
hexc32627e4afc

13410540342012 has 96 divisors (see below), whose sum is σ = 36151185337344. Its totient is φ = 3823983820800.

The previous prime is 13410540341999. The next prime is 13410540342053. The reversal of 13410540342012 is 21024304501431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10605837 + ... + 11802747.

It is an arithmetic number, because the mean of its divisors is an integer number (376574847264).

Almost surely, 213410540342012 is an apocalyptic number.

13410540342012 is a gapful number since it is divisible by the number (12) 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 13410540342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075592668672).

13410540342012 is an abundant number, since it is smaller than the sum of its proper divisors (22740644995332).

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

13410540342012 is a wasteful number, since it uses less digits than its factorization.

13410540342012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201939 (or 1201937 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13410540342012 its reverse (21024304501431), we get a palindrome (34434844843443).

The spelling of 13410540342012 in words is "thirteen trillion, four hundred ten billion, five hundred forty million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4993 9986 14979 19972 29958 54923 59916 84881 109846 164769 169762 219692 254643 329538 339524 509286 659076 933691 1018572 1196911 1867382 2393822 2801073 3590733 3734764 4787644 5602146 7181466 11204292 13166021 14362932 20347487 26332042 39498063 40694974 52664084 61042461 78996126 81389948 122084922 157992252 223822357 244169844 447644714 671467071 895289428 1342934142 2685868284 5976176623 11952353246 17928529869 23904706492 35857059738 65737942853 71714119476 101595002591 131475885706 197213828559 203190005182 262951771412 304785007773 394427657118 406380010364 609570015546 788855314236 1117545028501 1219140031092 2235090057002 3352635085503 4470180114004 6705270171006 13410540342012