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414342230211 = 32713609183059
BaseRepresentation
bin1100000011110001011…
…10001011000011000011
31110121111020000011011100
412001320232023003003
523242033102331321
6514202435545443
741635533563160
oct6017056130303
91417436004140
10414342230211
1114a7a3429218
126837645b283
13300c2b129b0
14160a8cc3067
15aba0acd326
hex6078b8b0c3

414342230211 has 48 divisors (see below), whose sum is σ = 736738213120. Its totient is φ = 218515631040.

The previous prime is 414342230201. The next prime is 414342230231. The reversal of 414342230211 is 112032243414.

414342230211 is a `hidden beast` number, since 4 + 1 + 4 + 342 + 2 + 302 + 11 = 666.

It is not a de Polignac number, because 414342230211 - 210 = 414342229187 is a prime.

It is a super-2 number, since 2×4143422302112 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414342230201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4947000 + ... + 5030058.

Almost surely, 2414342230211 is an apocalyptic number.

414342230211 is a deficient number, since it is larger than the sum of its proper divisors (322395982909).

414342230211 is a wasteful number, since it uses less digits than its factorization.

414342230211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89176 (or 89173 counting only the distinct ones).

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

Adding to 414342230211 its reverse (112032243414), we get a palindrome (526374473625).

The spelling of 414342230211 in words is "four hundred fourteen billion, three hundred forty-two million, two hundred thirty thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 6091 18273 42637 54819 79183 83059 127911 237549 249177 383733 554281 581413 712647 747531 1079767 1662843 1744239 3239301 4988529 5232717 7558369 9717903 22675107 68025321 505912369 1517737107 3541386583 4553211321 6576860797 10624159749 19730582391 31872479247 46038025579 59191747173 138114076737 414342230211