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412434434214 = 232114484346451
BaseRepresentation
bin1100000000001110000…
…00100000100010100110
31110102120021011002001100
412000013000200202212
523224131203343324
6513245245140530
741540336563545
oct6000700404246
91412507132040
10412434434214
11149a04538910
1267b2355a746
132cb7a7ac81a
1415d6778a15c
15aadd3804c9
hex60070208a6

412434434214 has 48 divisors (see below), whose sum is σ = 974887752384. Its totient is φ = 124974654000.

The previous prime is 412434434179. The next prime is 412434434231.

412434434214 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 3 + 4 + 434 + 214 = 666.

412434434214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8855689 + ... + 8902139.

It is an arithmetic number, because the mean of its divisors is an integer number (20310161508).

Almost surely, 2412434434214 is an apocalyptic number.

412434434214 is an abundant number, since it is smaller than the sum of its proper divisors (562453318170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412434434214 is a wasteful number, since it uses less digits than its factorization.

412434434214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91313 (or 91310 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 412434 and 434214, that added together give a palindrome (846648).

The spelling of 412434434214 in words is "four hundred twelve billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 44843 46451 89686 92902 134529 139353 269058 278706 403587 418059 493273 510961 807174 836118 986546 1021922 1479819 1532883 2959638 3065766 4439457 4598649 8878914 9197298 2083002193 4166004386 6249006579 12498013158 18747019737 22913024123 37494039474 45826048246 68739072369 137478144738 206217217107 412434434214