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424200203343 = 327241191122833
BaseRepresentation
bin1100010110001000100…
…11010110110001001111
31111112221020112002001100
412023010103112301033
523422230223001333
6522512550314143
742435035143500
oct6130423266117
91445836462040
10424200203343
111539a1a57354
126a267958953
13310042633a7
1416762234ba7
15b07b284213
hex62c44d6c4f

424200203343 has 72 divisors (see below), whose sum is σ = 733985231616. Its totient is φ = 235247846400.

The previous prime is 424200203269. The next prime is 424200203359. The reversal of 424200203343 is 343302002424.

424200203343 is a `hidden beast` number, since 4 + 2 + 420 + 0 + 203 + 34 + 3 = 666.

It is not a de Polignac number, because 424200203343 - 218 = 424199941199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424200203743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3392055 + ... + 3514887.

It is an arithmetic number, because the mean of its divisors is an integer number (10194239328).

Almost surely, 2424200203343 is an apocalyptic number.

424200203343 is a deficient number, since it is larger than the sum of its proper divisors (309785028273).

424200203343 is a wasteful number, since it uses less digits than its factorization.

424200203343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123085 (or 123075 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 424200203343 its reverse (343302002424), we get a palindrome (767502205767).

The spelling of 424200203343 in words is "four hundred twenty-four billion, two hundred million, two hundred three thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 41 49 63 123 147 191 287 369 441 573 861 1337 1719 2009 2583 4011 6027 7831 9359 12033 18081 23493 28077 54817 70479 84231 122833 164451 368499 383719 493353 859831 1105497 1151157 2579493 3453471 5036153 6018817 7738479 15108459 18056451 23461103 35253071 45325377 54169353 70383309 105759213 164227721 211149927 246771497 317277639 492683163 740314491 961905223 1149594047 1478049489 2220943473 2885715669 3448782141 6733336561 8657147007 10346346423 20200009683 47133355927 60600029049 141400067781 424200203343