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242431345215 = 32519907312619
BaseRepresentation
bin1110000111001000001…
…0001100001000111111
3212011202110100100121200
43201302002030020333
512432444411021330
6303212121030543
723341450301553
oct3416202141077
9764673310550
10242431345215
11938a61a0954
123ab99925453
1319b27013737
14ba3b54b863
15648d624a60
hex387208c23f

242431345215 has 48 divisors (see below), whose sum is σ = 442819977600. Its totient is φ = 122356184256.

The previous prime is 242431345159. The next prime is 242431345259. The reversal of 242431345215 is 512543134242.

It is a happy number.

242431345215 is a `hidden beast` number, since 2 + 4 + 2 + 431 + 3 + 4 + 5 + 215 = 666.

It is not a de Polignac number, because 242431345215 - 214 = 242431328831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242431345215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619176 + ... + 931794.

It is an arithmetic number, because the mean of its divisors is an integer number (9225416200).

Almost surely, 2242431345215 is an apocalyptic number.

242431345215 is a deficient number, since it is larger than the sum of its proper divisors (200388632385).

242431345215 is a wasteful number, since it uses less digits than its factorization.

242431345215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313556 (or 313553 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 242431345215 its reverse (512543134242), we get a palindrome (754974479457).

The spelling of 242431345215 in words is "two hundred forty-two billion, four hundred thirty-one million, three hundred forty-five thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 907 2721 4535 8163 13605 17233 40815 51699 86165 155097 258495 312619 775485 937857 1563095 2813571 4689285 5939761 14067855 17819283 29698805 53457849 89096415 267289245 283545433 850636299 1417727165 2551908897 4253181495 5387363227 12759544485 16162089681 26936816135 48486269043 80810448405 242431345215