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242304541312 = 271893004229
BaseRepresentation
bin1110000110101001111…
…0011110001010000000
3212011102121202001100211
43201222132132022000
512432214430310222
6303151351123504
723335350422101
oct3415236361200
9764377661324
10242304541312
1193840662239
123ab63373594
1319b06976942
14ba287803a8
156482428277
hex386a79e280

242304541312 has 16 divisors (see below), whose sum is σ = 482716078650. Its totient is φ = 121152270592.

The previous prime is 242304541291. The next prime is 242304541313. The reversal of 242304541312 is 213145403242.

It can be written as a sum of positive squares in only one way, i.e., 229303068736 + 13001472576 = 478856^2 + 114024^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×2423045413122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242304541313) by changing a digit.

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 as a sum of consecutive naturals, namely, 946501987 + ... + 946502242.

Almost surely, 2242304541312 is an apocalyptic number.

It is an amenable number.

242304541312 is a deficient number, since it is larger than the sum of its proper divisors (240411537338).

242304541312 is an equidigital number, since it uses as much as digits as its factorization.

242304541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893004243 (or 1893004231 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 242304541312 its reverse (213145403242), we get a palindrome (455449944554).

The spelling of 242304541312 in words is "two hundred forty-two billion, three hundred four million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 1893004229 3786008458 7572016916 15144033832 30288067664 60576135328 121152270656 242304541312