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414352031103 = 32195345719081
BaseRepresentation
bin1100000011110010100…
…11100011110101111111
31110121111220110002110100
412001321103203311333
523242043104443403
6514203430012143
741636013103203
oct6017123436577
91417456402410
10414352031103
1114a7a8a1282a
12683797a7053
13300c4b64a3a
14160aa314b03
15aba18b72a3
hex60794e3d7f

414352031103 has 24 divisors (see below), whose sum is σ = 641895911280. Its totient is φ = 256758353280.

The previous prime is 414352031099. The next prime is 414352031131. The reversal of 414352031103 is 301130253414.

It is a happy number.

414352031103 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 520 + 31 + 103 = 666.

It is not a de Polignac number, because 414352031103 - 22 = 414352031099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414352031153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22850478 + ... + 22868603.

It is an arithmetic number, because the mean of its divisors is an integer number (26745662970).

Almost surely, 2414352031103 is an apocalyptic number.

414352031103 is a deficient number, since it is larger than the sum of its proper divisors (227543880177).

414352031103 is a wasteful number, since it uses less digits than its factorization.

414352031103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45719159 (or 45719156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 414352031103 its reverse (301130253414), we get a palindrome (715482284517).

The spelling of 414352031103 in words is "four hundred fourteen billion, three hundred fifty-two million, thirty-one thousand, one hundred three".

Divisors: 1 3 9 19 53 57 159 171 477 1007 3021 9063 45719081 137157243 411471729 868662539 2423111293 2605987617 7269333879 7817962851 21808001637 46039114567 138117343701 414352031103