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414103422321 = 32431070034683
BaseRepresentation
bin1100000011010100111…
…11001100010101110001
31110120212120122110022200
412001222133030111301
523241040434003241
6514123025253413
741626604004231
oct6015237142561
91416776573280
10414103422321
1114a69064a326
126830a494269
13300854bb654
14160852bbcc1
15ab89b5a4b6
hex606a7cc571

414103422321 has 12 divisors (see below), whose sum is σ = 612059839248. Its totient is φ = 269648739864.

The previous prime is 414103422253. The next prime is 414103422347. The reversal of 414103422321 is 123224301414.

414103422321 is a `hidden beast` number, since 4 + 1 + 410 + 3 + 4 + 223 + 21 = 666.

It is not a de Polignac number, because 414103422321 - 211 = 414103420273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414103422361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535016955 + ... + 535017728.

It is an arithmetic number, because the mean of its divisors is an integer number (51004986604).

Almost surely, 2414103422321 is an apocalyptic number.

It is an amenable number.

414103422321 is a deficient number, since it is larger than the sum of its proper divisors (197956416927).

414103422321 is a wasteful number, since it uses less digits than its factorization.

414103422321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070034732 (or 1070034729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414103422321 its reverse (123224301414), we get a palindrome (537327723735).

The spelling of 414103422321 in words is "four hundred fourteen billion, one hundred three million, four hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 43 129 387 1070034683 3210104049 9630312147 46011491369 138034474107 414103422321