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230414240414333 = 2952121529708353
BaseRepresentation
bin110100011000111101111110…
…111100110111101001111101
31010012211101102120202012002102
4310120331332330313221331
5220200101331021224313
62134014501334234445
766350610450313013
oct6430757674675175
91105741376665072
10230414240414333
1167465148910868
1221a139a6ab5a25
139b74c7b3b2921
1440c817454c8b3
151b9890aa33a58
hexd18f7ef37a7d

230414240414333 has 16 divisors (see below), whose sum is σ = 238828492969200. Its totient is φ = 222031291023360.

The previous prime is 230414240414291. The next prime is 230414240414357. The reversal of 230414240414333 is 333414042414032.

It can be written as a sum of positive squares in 8 ways, for example, as 381265496089 + 230032974918244 = 617467^2 + 15166838^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230414240414333 is a prime.

It is a super-3 number, since 3×2304142404143333 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230414240414233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324927485 + ... + 325635837.

It is an arithmetic number, because the mean of its divisors is an integer number (14926780810575).

Almost surely, 2230414240414333 is an apocalyptic number.

It is an amenable number.

230414240414333 is a deficient number, since it is larger than the sum of its proper divisors (8414252554867).

230414240414333 is a wasteful number, since it uses less digits than its factorization.

230414240414333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730432.

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 230414240414333 its reverse (333414042414032), we get a palindrome (563828282828365).

The spelling of 230414240414333 in words is "two hundred thirty trillion, four hundred fourteen billion, two hundred forty million, four hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 29 521 15109 21529 624341 708353 11216609 20542237 325281661 369051913 10702505477 15250131737 442253820373 7945318634977 230414240414333