Search a number
-
+
42130603125 = 325513611889
BaseRepresentation
bin100111001111001011…
…011111110001110101
311000202011011101112100
4213033023133301311
51142240413300000
631204325012313
73021015134502
oct471713376165
9130664141470
1042130603125
111695a699776
1281b9554099
133c855c6a80
1420795424a9
151168a96a00
hex9cf2dfc75

42130603125 has 144 divisors (see below), whose sum is σ = 83302324560. Its totient is φ = 20390400000.

The previous prime is 42130603111. The next prime is 42130603127. The reversal of 42130603125 is 52130603124.

42130603125 is a `hidden beast` number, since 4 + 2 + 1 + 30 + 603 + 1 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 17881573284 + 24249029841 = 133722^2 + 155721^2 .

It is not a de Polignac number, because 42130603125 - 26 = 42130603061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130603127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22302181 + ... + 22304069.

It is an arithmetic number, because the mean of its divisors is an integer number (578488365).

Almost surely, 242130603125 is an apocalyptic number.

42130603125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42130603125 is a deficient number, since it is larger than the sum of its proper divisors (41171721435).

42130603125 is a wasteful number, since it uses less digits than its factorization.

42130603125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Subtracting 42130603125 from its reverse (52130603124), we obtain a palindrome (9999999999).

The spelling of 42130603125 in words is "forty-two billion, one hundred thirty million, six hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 61 65 75 117 125 183 195 225 305 325 375 549 585 625 793 915 975 1125 1525 1625 1875 1889 2379 2745 2925 3125 3965 4575 4875 5625 5667 7137 7625 8125 9375 9445 11895 13725 14625 17001 19825 22875 24375 24557 28125 28335 35685 38125 40625 47225 59475 68625 73125 73671 85005 99125 114375 115229 121875 122785 141675 178425 190625 221013 236125 297375 343125 345687 365625 368355 425025 495625 571875 576145 613925 708375 892125 1037061 1105065 1180625 1486875 1497977 1715625 1728435 1841775 2125125 2478125 2880725 3069625 3541875 4460625 4493931 5185305 5525325 5903125 7434375 7489885 8642175 9208875 10625625 13481793 14403625 15348125 17709375 22303125 22469655 25926525 27626625 37449425 43210875 46044375 53128125 67408965 72018125 76740625 112348275 129632625 138133125 187247125 216054375 230221875 337044825 360090625 561741375 648163125 690665625 936235625 1080271875 1685224125 2808706875 3240815625 4681178125 8426120625 14043534375 42130603125