Search a number
-
+
42363110603025 = 3252432100912
BaseRepresentation
bin10011010000111011011100…
…01010001011100100010001
312112222212121000102200221100
421220131232022023210101
521023034122303244100
6230033202213415013
711631430241540352
oct1150355612134421
9175885530380840
1042363110603025
1112553104593313
12490230803a469
131a83a93985b04
14a66557b17d29
154d6e65c4b400
hex26876e28b911

42363110603025 has 81 divisors (see below), whose sum is σ = 77690356155867. Its totient is φ = 22066038136800.

The previous prime is 42363110603017. The next prime is 42363110603041. The reversal of 42363110603025 is 52030601136324.

The square root of 42363110603025 is 6508695.

It is a perfect power (a square), and thus also a powerful number.

42363110603025 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 31 + 10 + 603 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15250719817089 + 27112390785936 = 3905217^2 + 5206956^2 .

It is not a de Polignac number, because 42363110603025 - 23 = 42363110603017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4198103230 + ... + 4198113320.

Almost surely, 242363110603025 is an apocalyptic number.

42363110603025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42363110603025 is the 6508695-th square number.

42363110603025 is the 3254348-th centered octagonal number.

It is an amenable number.

42363110603025 is a deficient number, since it is larger than the sum of its proper divisors (35327245552842).

42363110603025 is an frugal number, since it uses more digits than its factorization.

42363110603025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20284 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 42363110603025 its reverse (52030601136324), we get a palindrome (94393711739349).

The spelling of 42363110603025 in words is "forty-two trillion, three hundred sixty-three billion, one hundred ten million, six hundred three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 1075 1849 1935 3225 5547 9245 9675 10091 16641 27735 30273 46225 50455 83205 90819 138675 151365 252275 416025 433913 454095 756825 1301739 2169565 2270475 3905217 6508695 10847825 18658259 19526085 32543475 55974777 93291295 97630425 101828281 167924331 279873885 305484843 466456475 509141405 839621655 916454529 1399369425 1527424215 2545707025 4198108275 4378616083 4582272645 7637121075 13135848249 21893080415 22911363225 39407544747 65679241245 109465402075 188280491569 197037723735 328396206225 564841474707 941402457845 985188618675 1694524424121 2824207373535 4707012289225 8472622120605 14121036867675 42363110603025