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434694408642 = 232134343201591
BaseRepresentation
bin1100101001101011100…
…11100100100111000010
31112120000121012221101200
412110311303210213002
524110223232034032
6531410145442030
743256063336304
oct6246563444702
91476017187350
10434694408642
1115839773009a
12702b6340316
1331cb7457220
1417079c81974
15b49271347c
hex6535ce49c2

434694408642 has 48 divisors (see below), whose sum is σ = 1037875046208. Its totient is φ = 130641608160.

The previous prime is 434694408637. The next prime is 434694408703. The reversal of 434694408642 is 246804496434.

It is a happy number.

434694408642 is a `hidden beast` number, since 43 + 46 + 9 + 440 + 86 + 42 = 666.

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 23 ways as a sum of consecutive naturals, for example, 21590734 + ... + 21610857.

It is an arithmetic number, because the mean of its divisors is an integer number (21622396796).

Almost surely, 2434694408642 is an apocalyptic number.

434694408642 is an abundant number, since it is smaller than the sum of its proper divisors (603180637566).

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

434694408642 is a wasteful number, since it uses less digits than its factorization.

434694408642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43201655 (or 43201652 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 434694408642 in words is "four hundred thirty-four billion, six hundred ninety-four million, four hundred eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 43201591 86403182 129604773 259209546 388814319 561620683 777628638 1123241366 1684862049 1857668413 3369724098 3715336826 5054586147 5573005239 10109172294 11146010478 16719015717 24149689369 33438031434 48299378738 72449068107 144898136214 217347204321 434694408642