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420302114343 = 32214140035449
BaseRepresentation
bin1100001110110111111…
…01010100111000100111
31111011212120120122012200
412013123331110320213
523341234320124333
6521030100545543
742236323011516
oct6073375247047
91434776518180
10420302114343
1115228164a3a1
126955a3b22b3
13308327a4257
14164b264c67d
15adede3ec13
hex61dbf54e27

420302114343 has 24 divisors (see below), whose sum is σ = 607649842800. Its totient is φ = 279949184640.

The previous prime is 420302114327. The next prime is 420302114359. The reversal of 420302114343 is 343411203024.

420302114343 is a `hidden beast` number, since 4 + 2 + 0 + 302 + 1 + 14 + 343 = 666.

It is an interprime number because it is at equal distance from previous prime (420302114327) and next prime (420302114359).

It is not a de Polignac number, because 420302114343 - 24 = 420302114327 is a prime.

It is a super-3 number, since 3×4203021143433 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420302114303) 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, 77131083 + ... + 77136531.

It is an arithmetic number, because the mean of its divisors is an integer number (25318743450).

Almost surely, 2420302114343 is an apocalyptic number.

420302114343 is a deficient number, since it is larger than the sum of its proper divisors (187347728457).

420302114343 is a wasteful number, since it uses less digits than its factorization.

420302114343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 420302114343 its reverse (343411203024), we get a palindrome (763713317367).

The spelling of 420302114343 in words is "four hundred twenty billion, three hundred two million, one hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 9 2141 4003 5449 6423 12009 16347 19269 36027 49041 8570423 11666309 21812347 25711269 34998927 65437041 77133807 104996781 196311123 46700234927 140100704781 420302114343