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242051341540 = 22546127899413
BaseRepresentation
bin1110000101101101100…
…0100101110011100100
3212010202222022011120111
43201123120211303210
512431210120412130
6303110304142404
723326154312251
oct3413330456344
9763688264514
10242051341540
1193720743528
123aab2607a04
1319a963839a8
14ba02cb0428
15646a0b102a
hex385b625ce4

242051341540 has 48 divisors (see below), whose sum is σ = 509647224240. Its totient is φ = 96565614080.

The previous prime is 242051341523. The next prime is 242051341559. The reversal of 242051341540 is 45143150242.

242051341540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17761959076 + 224289382464 = 133274^2 + 473592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25709874 + ... + 25719286.

It is an arithmetic number, because the mean of its divisors is an integer number (10617650505).

Almost surely, 2242051341540 is an apocalyptic number.

242051341540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242051341540 is an abundant number, since it is smaller than the sum of its proper divisors (267595882700).

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

242051341540 is a wasteful number, since it uses less digits than its factorization.

242051341540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 242051341540 its reverse (45143150242), we get a palindrome (287194491782).

The spelling of 242051341540 in words is "two hundred forty-two billion, fifty-one million, three hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 461 922 1844 2305 2789 4610 5578 9220 9413 11156 13945 18826 27890 37652 47065 55780 94130 188260 1285729 2571458 4339393 5142916 6428645 8678786 12857290 17357572 21696965 25714580 26252857 43393930 52505714 86787860 105011428 131264285 262528570 525057140 12102567077 24205134154 48410268308 60512835385 121025670770 242051341540