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434144442305 = 5761712864033
BaseRepresentation
bin1100101000101010000…
…01100111011111000001
31112111121021100202102002
412110111001213133001
524103111434123210
6531235422033345
743236334605020
oct6242501473701
91474537322362
10434144442305
11158135246262
1270182118855
1331c2a529162
1417026c008b7
15b45e2ca4a5
hex65150677c1

434144442305 has 32 divisors (see below), whose sum is σ = 613682293248. Its totient is φ = 288694425600.

The previous prime is 434144442289. The next prime is 434144442323. The reversal of 434144442305 is 503244441434.

It is not a de Polignac number, because 434144442305 - 24 = 434144442289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280432 + ... + 1583601.

It is an arithmetic number, because the mean of its divisors is an integer number (19177571664).

Almost surely, 2434144442305 is an apocalyptic number.

It is an amenable number.

434144442305 is a deficient number, since it is larger than the sum of its proper divisors (179537850943).

434144442305 is a wasteful number, since it uses less digits than its factorization.

434144442305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864177.

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 434144442305 its reverse (503244441434), we get a palindrome (937388883739).

The spelling of 434144442305 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred forty-two thousand, three hundred five".

Divisors: 1 5 7 35 61 71 305 355 427 497 2135 2485 4331 21655 30317 151585 2864033 14320165 20048231 100241155 174706013 203346343 873530065 1016731715 1222942091 1423424401 6114710455 7117122005 12404126923 62020634615 86828888461 434144442305