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412441143321993 = 3193199100916572141
BaseRepresentation
bin101110111000111001110111…
…1110101101010010110001001
32000002022222200102022220100120
41131301303233311222112021
5413024413430142300433
64021104502345253453
7152605614006215052
oct13561635765522611
92002288612286316
10412441143321993
1110a4643410a5645
123a311a34494289
131491a0574697c6
1473bc387771729
1532a38199c17b3
hex1771cefd6a589

412441143321993 has 64 divisors (see below), whose sum is σ = 556694695872000. Its totient is φ = 271600804823040.

The previous prime is 412441143321947. The next prime is 412441143322027. The reversal of 412441143321993 is 399123341144214.

It is not a de Polignac number, because 412441143321993 - 226 = 412441076213129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412441143320993) 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 63 ways as a sum of consecutive naturals, for example, 192639486703 + ... + 192639488843.

It is an arithmetic number, because the mean of its divisors is an integer number (8698354623000).

Almost surely, 2412441143321993 is an apocalyptic number.

It is an amenable number.

412441143321993 is a deficient number, since it is larger than the sum of its proper divisors (144253552550007).

412441143321993 is a wasteful number, since it uses less digits than its factorization.

412441143321993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202.

The product of its digits is 2239488, while the sum is 51.

The spelling of 412441143321993 in words is "four hundred twelve trillion, four hundred forty-one billion, one hundred forty-three million, three hundred twenty-one thousand, nine hundred ninety-three".

Divisors: 1 3 193 199 579 597 1009 1657 2141 3027 4971 6423 38407 115221 194737 200791 319801 329743 413213 426059 584211 602373 959403 989229 1239639 1278177 1671913 2160269 3547637 5015739 6480807 10642911 38752663 63640399 82229387 116257989 190921197 246688161 322679209 332710687 416931917 429893531 684693941 705979763 968037627 998132061 1250795751 1289680593 2054081823 2117939289 3579565733 10738697199 64213162591 82969451483 136254094259 192639487773 248908354449 408762282777 690856186469 712333580867 2072568559407 2137000742601 137480381107331 412441143321993