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242040168405 = 32571745198911
BaseRepresentation
bin1110000101101010110…
…1111101111111010101
3212010202012021111220200
43201122231331333111
512431144240342110
6303105224451113
723325660325440
oct3413255757725
9763665244820
10242040168405
1193715401a32
123aaaa919a99
1319a93c71179
14ba01602657
1564691056c0
hex385ab7dfd5

242040168405 has 48 divisors (see below), whose sum is σ = 507674179584. Its totient is φ = 104138288640.

The previous prime is 242040168379. The next prime is 242040168437. The reversal of 242040168405 is 504861040242.

242040168405 is a `hidden beast` number, since 242 + 0 + 4 + 0 + 1 + 6 + 8 + 405 = 666.

It is not a de Polignac number, because 242040168405 - 25 = 242040168373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242040168405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22594101 + ... + 22604810.

It is an arithmetic number, because the mean of its divisors is an integer number (10576545408).

Almost surely, 2242040168405 is an apocalyptic number.

It is an amenable number.

242040168405 is an abundant number, since it is smaller than the sum of its proper divisors (265634011179).

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

242040168405 is a wasteful number, since it uses less digits than its factorization.

242040168405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45198946 (or 45198943 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 242040168405 in words is "two hundred forty-two billion, forty million, one hundred sixty-eight thousand, four hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 45198911 135596733 225994555 316392377 406790199 677983665 768381487 949177131 1581961885 2033950995 2305144461 2847531393 3841907435 4745885655 5378670409 6915433383 11525722305 14237656965 16136011227 26893352045 34577166915 48408033681 80680056135 242040168405