Search a number
-
+
42234030200200 = 2352859584342073
BaseRepresentation
bin10011001101001011000000…
…10111100001010110001000
312112112112102011212211111011
421212211200113201112020
521013430243212401300
6225454013504413304
711616210432322336
oct1146454027412610
9175475364784434
1042234030200200
1112503396011153
1248a12a3317234
131a74862479927
14a601d082ab56
154d390d9d5eba
hex2669605e1588

42234030200200 has 96 divisors (see below), whose sum is σ = 98327594354400. Its totient is φ = 16870656591360.

The previous prime is 42234030200177. The next prime is 42234030200207. The reversal of 42234030200200 is 200203043224.

It is not an unprimeable number, because it can be changed into a prime (42234030200207) by changing a digit.

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, 1003806364 + ... + 1003848436.

It is an arithmetic number, because the mean of its divisors is an integer number (1024245774525).

Almost surely, 242234030200200 is an apocalyptic number.

42234030200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42234030200200 is an abundant number, since it is smaller than the sum of its proper divisors (56093564154200).

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

42234030200200 is a wasteful number, since it uses less digits than its factorization.

42234030200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48791 (or 48782 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42234030200200 its reverse (200203043224), we get a palindrome (42434233243424).

The spelling of 42234030200200 in words is "forty-two trillion, two hundred thirty-four billion, thirty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 859 1718 3436 4295 5843 6872 8590 11686 17180 21475 23372 29215 34360 42073 42950 46744 58430 84146 85900 116860 146075 168292 171800 210365 233720 292150 336584 420730 584300 841460 1051825 1168600 1682920 2103650 4207300 5019137 8414600 10038274 20076548 25095685 36140707 40153096 50191370 72281414 100382740 125478425 144562828 180703535 200765480 245832539 250956850 289125656 361407070 491665078 501913700 722814140 903517675 983330156 1003827400 1229162695 1445628280 1807035350 1966660312 2458325390 3614070700 4916650780 6145813475 7228141400 9833301560 12291626950 24583253900 49166507800 211170151001 422340302002 844680604004 1055850755005 1689361208008 2111701510010 4223403020020 5279253775025 8446806040040 10558507550050 21117015100100 42234030200200