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242544225305 = 5109344381377
BaseRepresentation
bin1110000111100011000…
…0110010110000011001
3212012001022202020222202
43201320300302300121
512433212310202210
6303231232255545
723344320620204
oct3417060626031
9765038666882
10242544225305
119395398a388
123b00b6a15b5
1319b445169a5
14ba4c53293b
1564984c09a5
hex3878c32c19

242544225305 has 8 divisors (see below), whose sum is σ = 291319365192. Its totient is φ = 193857850368.

The previous prime is 242544225283. The next prime is 242544225331. The reversal of 242544225305 is 503522445242.

It can be written as a sum of positive squares in 4 ways, for example, as 36217515481 + 206326709824 = 190309^2 + 454232^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242544225305 - 216 = 242544159769 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22185224 + ... + 22196153.

It is an arithmetic number, because the mean of its divisors is an integer number (36414920649).

Almost surely, 2242544225305 is an apocalyptic number.

It is an amenable number.

242544225305 is a deficient number, since it is larger than the sum of its proper divisors (48775139887).

242544225305 is a wasteful number, since it uses less digits than its factorization.

242544225305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44382475.

The product of its (nonzero) digits is 384000, while the sum is 38.

The spelling of 242544225305 in words is "two hundred forty-two billion, five hundred forty-four million, two hundred twenty-five thousand, three hundred five".

Divisors: 1 5 1093 5465 44381377 221906885 48508845061 242544225305