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412242401241 = 3511433586619
BaseRepresentation
bin1011111111110111000…
…11111101011111011001
31110102001212210210100000
411333323203331133121
523223233023314431
6513214225203213
741532515410626
oct5777343753731
91412055723300
10412242401241
111499160a7680
1267a8b190509
132cb49a84948
1415d4a07d34d
15aacb59b9e6
hex5ffb8fd7d9

412242401241 has 48 divisors (see below), whose sum is σ = 689319671040. Its totient is φ = 244033488720.

The previous prime is 412242401239. The next prime is 412242401261. The reversal of 412242401241 is 142104242214.

412242401241 is a `hidden beast` number, since 4 + 12 + 2 + 4 + 2 + 401 + 241 = 666.

It is not a de Polignac number, because 412242401241 - 21 = 412242401239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412242401231) 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 47 ways as a sum of consecutive naturals, for example, 1678371 + ... + 1908248.

It is an arithmetic number, because the mean of its divisors is an integer number (14360826480).

Almost surely, 2412242401241 is an apocalyptic number.

It is an amenable number.

412242401241 is a deficient number, since it is larger than the sum of its proper divisors (277077269799).

412242401241 is a wasteful number, since it uses less digits than its factorization.

412242401241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586688 (or 3586676 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 412242401241 its reverse (142104242214), we get a palindrome (554346643455).

The spelling of 412242401241 in words is "four hundred twelve billion, two hundred forty-two million, four hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 43 81 99 129 243 297 387 473 891 1161 1419 2673 3483 4257 10449 12771 38313 114939 3586619 10759857 32279571 39452809 96838713 118358427 154224617 290516139 355075281 462673851 871548417 1065225843 1388021553 1696470787 3195677529 4164064659 5089412361 9587032587 12492193977 15268237083 37476581931 45804711249 137414133747 412242401241