Search a number
-
+
504030413434210 = 251337199365298053
BaseRepresentation
bin111001010011010011011100…
…1101111111010110101100010
32110002121211121010111212211221
41302212212321233322311202
51012031013241314343320
64543552213025125254
7211110665341043305
oct16246467157726542
92402554533455757
10504030413434210
11136666109379733
124864457978982a
1318831b303ba830
148c672b8aa4b3c
153d40ec394b3aa
hex1ca69b9bfad62

504030413434210 has 128 divisors (see below), whose sum is σ = 1004232096665280. Its totient is φ = 180932666720256.

The previous prime is 504030413434193. The next prime is 504030413434213. The reversal of 504030413434210 is 12434314030405.

It can be written as a sum of positive squares in 32 ways, for example, as 137328795241 + 503893084638969 = 370579^2 + 22447563^2 .

It is not an unprimeable number, because it can be changed into a prime (504030413434213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62589144544 + ... + 62589152596.

Almost surely, 2504030413434210 is an apocalyptic number.

504030413434210 is a deficient number, since it is larger than the sum of its proper divisors (500201683231070).

504030413434210 is a wasteful number, since it uses less digits than its factorization.

504030413434210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16632.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 504030413434210 its reverse (12434314030405), we get a palindrome (516464727464615).

The spelling of 504030413434210 in words is "five hundred four trillion, thirty billion, four hundred thirteen million, four hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 37 65 74 130 185 370 481 962 1993 2405 3986 4810 6529 8053 9965 13058 16106 19930 25909 32645 40265 51818 65290 73741 80530 84877 104689 129545 147482 169754 209378 241573 259090 297961 368705 424385 483146 523445 595922 737410 848770 958633 1046890 1207865 1489805 1917266 2415730 2979610 3140449 3873493 4793165 6280898 7746986 9586330 13012297 15702245 16049629 19367465 26024594 31404490 32099258 38734930 52578037 65061485 80248145 105156074 130122970 160496290 169159861 208645177 262890185 338319722 417290354 481454989 525780370 593836273 683514481 845799305 962909978 1043225885 1187672546 1367028962 1691598610 1945387369 2086451770 2407274945 2969181365 3417572405 3890774738 4814549890 5938362730 6258914857 6835144810 7719871549 9726936845 12517829714 15439743098 19453873690 25290035797 31294574285 38599357745 50580071594 62589148570 77198715490 104788027741 126450178985 209576055482 252900357970 523940138705 1047880277410 1362244360633 2724488721266 3877157026417 6811221803165 7754314052834 13622443606330 19385785132085 38771570264170 50403041343421 100806082686842 252015206717105 504030413434210