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414144023103 = 32380111210597
BaseRepresentation
bin1100000011011001110…
…10000100101000111111
31110120222102001012010100
412001230322010220333
523241131332214403
6514131035412143
741630606053656
oct6015472045077
91416872035110
10414144023103
1114a701560298
126831bbb4053
1330090a35795
141608a84a19d
15ab8d4ca2a3
hex606ce84a3f

414144023103 has 12 divisors (see below), whose sum is σ = 598224265288. Its totient is φ = 276088523760.

The previous prime is 414144023099. The next prime is 414144023113. The reversal of 414144023103 is 301320441414.

414144023103 is a `hidden beast` number, since 414 + 14 + 4 + 0 + 231 + 0 + 3 = 666.

It is not a de Polignac number, because 414144023103 - 22 = 414144023099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144023113) 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, 263200 + ... + 947397.

Almost surely, 2414144023103 is an apocalyptic number.

414144023103 is a deficient number, since it is larger than the sum of its proper divisors (184080242185).

414144023103 is a wasteful number, since it uses less digits than its factorization.

414144023103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248614 (or 1248611 counting only the distinct ones).

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

Adding to 414144023103 its reverse (301320441414), we get a palindrome (715464464517).

The spelling of 414144023103 in words is "four hundred fourteen billion, one hundred forty-four million, twenty-three thousand, one hundred three".

Divisors: 1 3 9 38011 114033 342099 1210597 3631791 10895373 46016002567 138048007701 414144023103