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13040054551344 = 24317139839137029
BaseRepresentation
bin1011110111000001111111…
…0100011100001100110000
31201011121122211012120011010
42331300133310130030300
53202122012431120334
643422303544350520
72514053464564122
oct275603764341460
951147584176133
1013040054551344
11417828a927a97
1215672bba75440
1373789712a882
143311db953212
15179305d470e9
hexbdc1fd1c330

13040054551344 has 160 divisors (see below), whose sum is σ = 35968072896000. Its totient is φ = 4056695304192.

The previous prime is 13040054551339. The next prime is 13040054551367. The reversal of 13040054551344 is 44315545004031.

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, 95094222 + ... + 95231250.

It is an arithmetic number, because the mean of its divisors is an integer number (224800455600).

Almost surely, 213040054551344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040054551344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984036448000).

13040054551344 is an abundant number, since it is smaller than the sum of its proper divisors (22928018344656).

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

13040054551344 is a wasteful number, since it uses less digits than its factorization.

13040054551344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138035 (or 138029 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 13040054551344 its reverse (44315545004031), we get a palindrome (57355599555375).

The spelling of 13040054551344 in words is "thirteen trillion, forty billion, fifty-four million, five hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 139 204 272 278 408 417 556 816 834 839 1112 1668 1678 2224 2363 2517 3336 3356 4726 5034 6672 6712 7089 9452 10068 13424 14178 14263 18904 20136 28356 28526 37808 40272 42789 56712 57052 85578 113424 114104 116621 137029 171156 228208 233242 274058 342312 349863 411087 466484 548116 684624 699726 822174 932968 1096232 1399452 1644348 1865936 1982557 2192464 2329493 2798904 3288696 3965114 4658986 5597808 5947671 6577392 6988479 7930228 9317972 11895342 13976958 15860456 18635944 19047031 23790684 27953916 31720912 37271888 38094062 47581368 55907832 57141093 76188124 95162736 111815664 114282186 114967331 152376248 228564372 229934662 304752496 323799527 344901993 457128744 459869324 647599054 689803986 914257488 919738648 971398581 1295198108 1379607972 1839477296 1942797162 1954444627 2590396216 2759215944 3885594324 3908889254 5180792432 5518431888 5863333881 7771188648 7817778508 11726667762 15542377296 15635557016 15980459009 23453335524 31271114032 31960918018 46906671048 47941377027 63921836036 93813342096 95882754054 127843672072 191765508108 255687344144 271667803153 383531016216 543335606306 767062032432 815003409459 1086671212612 1630006818918 2173342425224 3260013637836 4346684850448 6520027275672 13040054551344