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230414240414341 = 41307347429712277
BaseRepresentation
bin110100011000111101111110…
…111100110111101010000101
31010012211101102120202012002201
4310120331332330313222011
5220200101331021224331
62134014501334234501
766350610450313024
oct6430757674675205
91105741376665081
10230414240414341
1167465148910875
1221a139a6ab5a31
139b74c7b3b2929
1440c817454c8bb
151b9890aa33a61
hexd18f7ef37a85

230414240414341 has 32 divisors (see below), whose sum is σ = 237559986018432. Its totient is φ = 223346252067840.

The previous prime is 230414240414291. The next prime is 230414240414357. The reversal of 230414240414341 is 143414042414032.

It is a cyclic number.

It is not a de Polignac number, because 230414240414341 - 227 = 230414106196613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230414240414341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230414220414341) 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 31 ways as a sum of consecutive naturals, for example, 18767953495 + ... + 18767965771.

It is an arithmetic number, because the mean of its divisors is an integer number (7423749563076).

Almost surely, 2230414240414341 is an apocalyptic number.

It is an amenable number.

230414240414341 is a deficient number, since it is larger than the sum of its proper divisors (7145745604091).

230414240414341 is a wasteful number, since it uses less digits than its factorization.

230414240414341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 230414240414341 its reverse (143414042414032), we get a palindrome (373828282828373).

The spelling of 230414240414341 in words is "two hundred thirty trillion, four hundred fourteen billion, two hundred forty million, four hundred fourteen thousand, three hundred forty-one".

Divisors: 1 41 307 347 4297 12277 12587 14227 106529 176177 503357 1319179 1491059 3769039 4260119 4367689 52754269 54086339 61133419 154530599 174664879 457755113 1307856533 2162925029 16195560583 18305731343 18767959633 53622117853 664017983903 750534985063 5619859522301 230414240414341