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242412321425 = 52157541114161
BaseRepresentation
bin1110000111000011100…
…1100111101010010001
3212011201010112211212212
43201300321213222101
512432430023241200
6303210201201505
723341126506611
oct3416071475221
9764633484785
10242412321425
119389648800a
123ab93490295
1319b230b2761
14ba38bd8a41
15648bb18035
hex3870e67a91

242412321425 has 24 divisors (see below), whose sum is σ = 303067687992. Its totient is φ = 192336768000.

The previous prime is 242412321419. The next prime is 242412321433. The reversal of 242412321425 is 524123214242.

242412321425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 42284930689 + 200127390736 = 205633^2 + 447356^2 .

It is not a de Polignac number, because 242412321425 - 222 = 242408127121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242412321391 and 242412321400.

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 23 ways as a sum of consecutive naturals, for example, 2066345 + ... + 2180505.

It is an arithmetic number, because the mean of its divisors is an integer number (12627820333).

Almost surely, 2242412321425 is an apocalyptic number.

242412321425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242412321425 is a deficient number, since it is larger than the sum of its proper divisors (60655366567).

242412321425 is a wasteful number, since it uses less digits than its factorization.

242412321425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114869 (or 114864 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

Adding to 242412321425 its reverse (524123214242), we get a palindrome (766535535667).

The spelling of 242412321425 in words is "two hundred forty-two billion, four hundred twelve million, three hundred twenty-one thousand, four hundred twenty-five".

Divisors: 1 5 25 157 541 785 2705 3925 13525 84937 114161 424685 570805 2123425 2854025 17923277 61761101 89616385 308805505 448081925 1544027525 9696492857 48482464285 242412321425