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242217528255 = 34514936710937
BaseRepresentation
bin1110000110010101001…
…0100010101110111111
3212011012120000022220000
43201211102202232333
512432030141401010
6303135002125343
723333243006523
oct3414522425677
9764176008800
10242217528255
11937a653101a
123ab3a1b0853
1319ac192c421
14ba1adadd83
15647998b7c0
hex38654a2bbf

242217528255 has 80 divisors (see below), whose sum is σ = 438342537600. Its totient is φ = 127954349568.

The previous prime is 242217528253. The next prime is 242217528347. The reversal of 242217528255 is 552825712242.

242217528255 is a `hidden beast` number, since 2 + 422 + 175 + 2 + 8 + 2 + 55 = 666.

It is not a de Polignac number, because 242217528255 - 21 = 242217528253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242217528255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242217528251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22141147 + ... + 22152083.

It is an arithmetic number, because the mean of its divisors is an integer number (5479281720).

Almost surely, 2242217528255 is an apocalyptic number.

242217528255 is a deficient number, since it is larger than the sum of its proper divisors (196125009345).

242217528255 is a wasteful number, since it uses less digits than its factorization.

242217528255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11461 counting only the distinct ones).

The product of its digits is 896000, while the sum is 45.

The spelling of 242217528255 in words is "two hundred forty-two billion, two hundred seventeen million, five hundred twenty-eight thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 149 367 405 447 745 1101 1341 1835 2235 3303 4023 5505 6705 9909 10937 12069 16515 20115 29727 32811 49545 54683 54685 60345 98433 148635 164049 164055 273415 295299 492147 492165 820245 885897 1476441 1476495 1629613 2460735 4013879 4429323 4429485 4888839 7382205 8148065 12041637 14666517 20069395 22146615 24444195 36124911 43999551 60208185 73332585 108374733 131998653 180624555 219997755 325124199 541873665 598067971 659993265 1625620995 1794203913 2990339855 5382611739 8971019565 16147835217 26913058695 48443505651 80739176085 242217528255