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13411321211040 = 2535164309170047
BaseRepresentation
bin1100001100101001000100…
…0010010110100010100000
31202111002222000221000012220
43003022101002112202200
53224212341212223130
644305024221351040
72552636020246524
oct303122102264240
952432860830186
1013411321211040
114300789211555
121607254408480
137638b39375ac
1434517b9cdd84
15183cd4e1d410
hexc32910968a0

13411321211040 has 96 divisors (see below), whose sum is σ = 42246167362560. Its totient is φ = 3576309525504.

The previous prime is 13411321211027. The next prime is 13411321211081. The reversal of 13411321211040 is 4011212311431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13411321211040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78783297 + ... + 78953343.

It is an arithmetic number, because the mean of its divisors is an integer number (440064243360).

Almost surely, 213411321211040 is an apocalyptic number.

13411321211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411321211040 is an abundant number, since it is smaller than the sum of its proper divisors (28834846151520).

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

13411321211040 is a wasteful number, since it uses less digits than its factorization.

13411321211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334374 (or 334366 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13411321211040 its reverse (4011212311431), we get a palindrome (17422533522471).

The spelling of 13411321211040 in words is "thirteen trillion, four hundred eleven billion, three hundred twenty-one million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 164309 170047 328618 340094 492927 510141 657236 680188 821545 850235 985854 1020282 1314472 1360376 1643090 1700470 1971708 2040564 2464635 2550705 2628944 2720752 3286180 3400940 3943416 4081128 4929270 5101410 5257888 5441504 6572360 6801880 7886832 8162256 9858540 10202820 13144720 13603760 15773664 16324512 19717080 20405640 26289440 27207520 39434160 40811280 78868320 81622560 27940252523 55880505046 83820757569 111761010092 139701262615 167641515138 223522020184 279402525230 335283030276 419103787845 447044040368 558805050460 670566060552 838207575690 894088080736 1117610100920 1341132121104 1676415151380 2235220201840 2682264242208 3352830302760 4470440403680 6705660605520 13411321211040