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434213143300 = 225232571333169
BaseRepresentation
bin1100101000110010001…
…11101100001100000100
31112111210001122010110101
412110121013230030010
524103232031041200
6531250314333444
743241130551326
oct6243107541404
91474701563411
10434213143300
1115816aaaa342
12701a112a284
1331c3b831631
1417031da5616
15b46534b26a
hex65191ec304

434213143300 has 36 divisors (see below), whose sum is σ = 942532525620. Its totient is φ = 173631800320.

The previous prime is 434213143297. The next prime is 434213143313. The reversal of 434213143300 is 3341312434.

It can be written as a sum of positive squares in 6 ways, for example, as 29760390144 + 404452753156 = 172512^2 + 635966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340885 + ... + 992284.

It is an arithmetic number, because the mean of its divisors is an integer number (26181459045).

Almost surely, 2434213143300 is an apocalyptic number.

It is an amenable number.

434213143300 is an abundant number, since it is smaller than the sum of its proper divisors (508319382320).

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

434213143300 is a wasteful number, since it uses less digits than its factorization.

434213143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336440 (or 1336433 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 434213143300 its reverse (3341312434), we get a palindrome (437554455734).

The spelling of 434213143300 in words is "four hundred thirty-four billion, two hundred thirteen million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3257 6514 13028 16285 32570 65140 81425 162850 325700 1333169 2666338 5332676 6665845 13331690 26663380 33329225 66658450 133316900 4342131433 8684262866 17368525732 21710657165 43421314330 86842628660 108553285825 217106571650 434213143300