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242315105156 = 22412296452101
BaseRepresentation
bin1110000110101100011…
…0110001001110000100
3212011110100121202020022
43201223012301032010
512432230131331111
6303152405354312
723335536260345
oct3415306611604
9764410552208
10242315105156
1193846617a93
123ab66a08998
1319b08c05037
14ba29d300cc
1564833132db
hex386b1b1384

242315105156 has 24 divisors (see below), whose sum is σ = 436291137240. Its totient is φ = 117686304000.

The previous prime is 242315105101. The next prime is 242315105183. The reversal of 242315105156 is 651501513242.

242315105156 is digitally balanced in base 3, 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 4 ways, for example, as 38899672900 + 203415432256 = 197230^2 + 451016^2 .

It is a super-2 number, since 2×2423151051562 (a number of 24 digits) contains 22 as substring.

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, 3188495 + ... + 3263606.

It is an arithmetic number, because the mean of its divisors is an integer number (18178797385).

Almost surely, 2242315105156 is an apocalyptic number.

It is an amenable number.

242315105156 is a deficient number, since it is larger than the sum of its proper divisors (193976032084).

242315105156 is a wasteful number, since it uses less digits than its factorization.

242315105156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452375 (or 6452373 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 242315105156 its reverse (651501513242), we get a palindrome (893816618398).

The spelling of 242315105156 in words is "two hundred forty-two billion, three hundred fifteen million, one hundred five thousand, one hundred fifty-six".

Divisors: 1 2 4 41 82 164 229 458 916 9389 18778 37556 6452101 12904202 25808404 264536141 529072282 1058144564 1477531129 2955062258 5910124516 60578776289 121157552578 242315105156