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412441143323013 = 32737409838751581
BaseRepresentation
bin101110111000111001110111…
…1110101101010100110000101
32000002022222200102022221202100
41131301303233311222212011
5413024413430142314023
64021104502345302313
7152605614006221040
oct13561635765524605
92002288612287670
10412441143323013
1110a4643410a6392
123a311a34494999
131491a05746a0cc
1473bc387771c57
1532a38199c1c43
hex1771cefd6a985

412441143323013 has 96 divisors (see below), whose sum is σ = 701063556261120. Its totient is φ = 228718534947840.

The previous prime is 412441143322987. The next prime is 412441143323207. The reversal of 412441143323013 is 310323341144214.

412441143323013 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 4 + 1 + 14 + 332 + 301 + 3 = 666.

It is not a de Polignac number, because 412441143323013 - 25 = 412441143322981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412441143323413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7995963883 + ... + 7996015463.

It is an arithmetic number, because the mean of its divisors is an integer number (7302745377720).

Almost surely, 2412441143323013 is an apocalyptic number.

It is an amenable number.

412441143323013 is a deficient number, since it is larger than the sum of its proper divisors (288622412938107).

412441143323013 is a wasteful number, since it uses less digits than its factorization.

412441143323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60427 (or 60424 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 412441143323013 its reverse (310323341144214), we get a palindrome (722764484467227).

The spelling of 412441143323013 in words is "four hundred twelve trillion, four hundred forty-one billion, one hundred forty-three million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 409 777 1227 2331 2863 3681 8387 8589 15133 25161 25767 45399 51581 58709 75483 105931 136197 154743 176127 310319 317793 361067 464229 528381 930957 953379 1083201 1908497 2172233 2792871 3249603 3430283 5725491 6516699 10290849 13359479 17176473 19550097 21096629 24011981 30872547 40078437 63289887 72035943 120235311 126920471 147676403 189869661 216107829 380761413 432609847 443029209 780575273 888443297 1142284239 1297829541 1329087627 2341725819 2665329891 3028268929 3893488623 5464026911 7025177457 7995989673 9084806787 16006564339 16392080733 27254420361 48019693017 49176242199 112045950373 144059079051 176937427423 336137851119 530812282269 1008413553357 1238561991961 1592436846807 3715685975883 6546684814651 11147057927649 19640054443953 45826793702557 58920163331859 137480381107671 412441143323013