Search a number
-
+
242040410535 = 35721179378949
BaseRepresentation
bin1110000101101010111…
…0111001000110100111
3212010202012201211001110
43201122232321012213
512431144321114120
6303105234000103
723325662354400
oct3413256710647
9763665654043
10242040410535
1193715557940
123aaaaa16033
1319a94027441
14ba016669a7
1564691522e0
hex385abb91a7

242040410535 has 96 divisors (see below), whose sum is σ = 497667456000. Its totient is φ = 99314691840.

The previous prime is 242040410531. The next prime is 242040410569. The reversal of 242040410535 is 535014040242.

It is not a de Polignac number, because 242040410535 - 22 = 242040410531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242040410531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449241 + ... + 828189.

It is an arithmetic number, because the mean of its divisors is an integer number (5184036000).

Almost surely, 2242040410535 is an apocalyptic number.

242040410535 is an abundant number, since it is smaller than the sum of its proper divisors (255627045465).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242040410535 is a wasteful number, since it uses less digits than its factorization.

242040410535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379061 (or 379054 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 242040410535 its reverse (535014040242), we get a palindrome (777054450777).

The spelling of 242040410535 in words is "two hundred forty-two billion, forty million, four hundred ten thousand, five hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 79 105 147 165 231 237 245 385 395 539 553 735 869 1155 1185 1617 1659 2607 2695 2765 3871 4345 6083 8085 8295 11613 13035 18249 19355 30415 42581 58065 91245 127743 212905 378949 638715 1136847 1894745 2652643 4168439 5684235 7957929 12505317 13263215 18568501 20842195 29179073 29936971 39789645 55705503 62526585 87537219 89810913 92842505 145895365 149684855 204253511 209558797 278527515 329306681 437686095 449054565 612760533 628676391 987920043 1021267555 1047793985 1466911579 1646533405 2305146767 3063802665 3143381955 4400734737 4939600215 6915440301 7334557895 11525733835 16136027369 22003673685 34577201505 48408082107 80680136845 242040410535