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242004402335 = 5677923773847
BaseRepresentation
bin1110000101100010010…
…1100010000010011111
3212010122200222102002102
43201120211202002133
512431111111333320
6303101510115315
723325044323253
oct3413045420237
9763580872072
10242004402335
11936a71a33a3
123aa9a94bb3b
1319a8972a807
14b9da972263
156465ddd175
hex385896209f

242004402335 has 32 divisors (see below), whose sum is σ = 298673756160. Its totient is φ = 188171672832.

The previous prime is 242004402331. The next prime is 242004402337. The reversal of 242004402335 is 533204400242.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 242004402335 - 22 = 242004402331 is a prime.

It is a super-3 number, since 3×2420044023353 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 242004402298 and 242004402307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242004402331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62905382 + ... + 62909228.

It is an arithmetic number, because the mean of its divisors is an integer number (9333554880).

Almost surely, 2242004402335 is an apocalyptic number.

242004402335 is a deficient number, since it is larger than the sum of its proper divisors (56669353825).

242004402335 is a wasteful number, since it uses less digits than its factorization.

242004402335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375.

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 242004402335 its reverse (533204400242), we get a palindrome (775208802577).

The spelling of 242004402335 in words is "two hundred forty-two billion, four million, four hundred two thousand, three hundred thirty-five".

Divisors: 1 5 67 79 335 395 2377 3847 5293 11885 19235 26465 159259 187783 257749 303913 796295 938915 1288745 1519565 9144319 12581461 20362171 45721595 62907305 101810855 612669373 722401201 3063346865 3612006005 48400880467 242004402335