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414132231211 = 173701120247
BaseRepresentation
bin1100000011011000011…
…01000101110000101011
31110120221120212002200121
412001230031011300223
523241120322344321
6514125534544111
741630403612166
oct6015415056053
91416846762617
10414132231211
1114a6a5936926
1268318068037
133008b46742a
141608905aadd
15ab8c44b441
hex606c345c2b

414132231211 has 16 divisors (see below), whose sum is σ = 440641581120. Its totient is φ = 389212252800.

The previous prime is 414132231173. The next prime is 414132231263. The reversal of 414132231211 is 112132231414.

It is not a de Polignac number, because 414132231211 - 27 = 414132231083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414132231281) 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 15 ways as a sum of consecutive naturals, for example, 3383890 + ... + 3504136.

It is an arithmetic number, because the mean of its divisors is an integer number (27540098820).

Almost surely, 2414132231211 is an apocalyptic number.

414132231211 is a deficient number, since it is larger than the sum of its proper divisors (26509349909).

414132231211 is an equidigital number, since it uses as much as digits as its factorization.

414132231211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120999 (or 120965 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 414132231211 its reverse (112132231414), we get a palindrome (526264462625).

The spelling of 414132231211 in words is "four hundred fourteen billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred eleven".

Divisors: 1 17 289 701 4913 11917 120247 202589 2044199 3444013 34751383 84293147 590773511 1432983499 24360719483 414132231211