Search a number
-
+
242155506040515 = 33517105514381717
BaseRepresentation
bin110111000011110100111000…
…111010101111111011000011
31011202101211200120110021101000
4313003310320322233323003
5223214433434021244030
62215004412000543043
7102002105116411044
oct6703647072577303
91152354616407330
10242155506040515
11701816341a7061
12231ab439021a83
13a5172212b73a2
1443b25636ca8cb
151cee048e2c860
hexdc3d38eafec3

242155506040515 has 32 divisors (see below), whose sum is σ = 455822129021760. Its totient is φ = 121552567736832.

The previous prime is 242155506040477. The next prime is 242155506040541. The reversal of 242155506040515 is 515040605551242.

It is a happy number.

242155506040515 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 5 + 550 + 6 + 0 + 40 + 51 + 5 = 666.

It is not a de Polignac number, because 242155506040515 - 26 = 242155506040451 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52757188564 + ... + 52757193153.

It is an arithmetic number, because the mean of its divisors is an integer number (14244441531930).

Almost surely, 2242155506040515 is an apocalyptic number.

242155506040515 is a deficient number, since it is larger than the sum of its proper divisors (213666622981245).

242155506040515 is a wasteful number, since it uses less digits than its factorization.

242155506040515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105514381748 (or 105514381742 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 242155506040515 in words is "two hundred forty-two trillion, one hundred fifty-five billion, five hundred six million, forty thousand, five hundred fifteen".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 105514381717 316543145151 527571908585 949629435453 1582715725755 1793744489189 2848888306359 4748147177265 5381233467567 8968722445945 14244441531795 16143700402701 26906167337835 48431101208103 80718502013505 242155506040515