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434224515020 = 225233149096203
BaseRepresentation
bin1100101000110011100…
…11000100011111001100
31112111210212000212112012
412110121303010133030
524103242433440040
6531251402200352
743241326323122
oct6243163043714
91474725025465
10434224515020
1115817646705a
12701a4ab30b8
1331c40cb366a
14170336c5912
15b466345865
hex6519cc47cc

434224515020 has 96 divisors (see below), whose sum is σ = 982570659840. Its totient is φ = 160720116480.

The previous prime is 434224515013. The next prime is 434224515041. The reversal of 434224515020 is 20515422434.

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 31 ways as a sum of consecutive naturals, for example, 69999239 + ... + 70005441.

It is an arithmetic number, because the mean of its divisors is an integer number (10235111040).

Almost surely, 2434224515020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434224515020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491285329920).

434224515020 is an abundant number, since it is smaller than the sum of its proper divisors (548346144820).

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

434224515020 is a wasteful number, since it uses less digits than its factorization.

434224515020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 434224515020 its reverse (20515422434), we get a palindrome (454739937454).

The spelling of 434224515020 in words is "four hundred thirty-four billion, two hundred twenty-four million, five hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 4909 6203 7130 9818 12406 14260 19636 24545 24812 31015 49090 62030 98180 112907 124060 142669 152179 192293 225814 285338 304358 384586 451628 564535 570676 608716 713345 760895 769172 961465 1129070 1426690 1521790 1922930 2258140 2853380 3043580 3500117 3845860 4422739 7000234 8845478 14000468 17500585 17690956 22113695 30450527 35001170 44227390 60901054 70002340 88454780 121802108 152252635 304505270 609010540 700362121 943966337 1400724242 1887932674 2801448484 3501810605 3775865348 4719831685 7003621210 9439663370 14007242420 18879326740 21711225751 43422451502 86844903004 108556128755 217112257510 434224515020