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434143340420 = 225138115718441
BaseRepresentation
bin1100101000101001111…
…01011010011110000100
31112111121012021202220112
412110110331122132010
524103111143343140
6531235342252152
743236322335356
oct6242475323604
91474535252815
10434143340420
11158134663409
1270181887058
1331c2a23175a
14170269d50d6
15b45e15dc65
hex6514f5a784

434143340420 has 24 divisors (see below), whose sum is σ = 912361247448. Its totient is φ = 173531577600.

The previous prime is 434143340347. The next prime is 434143340437. The reversal of 434143340420 is 24043341434.

It can be written as a sum of positive squares in 4 ways, for example, as 12622971904 + 421520368516 = 112352^2 + 649246^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7831601 + ... + 7886840.

It is an arithmetic number, because the mean of its divisors is an integer number (38015051977).

Almost surely, 2434143340420 is an apocalyptic number.

It is an amenable number.

434143340420 is an abundant number, since it is smaller than the sum of its proper divisors (478217907028).

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

434143340420 is a wasteful number, since it uses less digits than its factorization.

434143340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719831 (or 15719829 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 434143340420 its reverse (24043341434), we get a palindrome (458186681854).

The spelling of 434143340420 in words is "four hundred thirty-four billion, one hundred forty-three million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1381 2762 5524 6905 13810 27620 15718441 31436882 62873764 78592205 157184410 314368820 21707167021 43414334042 86828668084 108535835105 217071670210 434143340420