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240552235131021 = 321126322709406837
BaseRepresentation
bin110110101100011111101110…
…100001100110000010001101
31011112201120100212101101002200
4312230133232201212002031
5223012201434143143041
62211340100553112113
7101445216430501512
oct6654375641460215
91145646325341080
10240552235131021
116a7136a2602990
1222b907749b8639
13a42bc94826058
144358b0c837309
151cc24b05e01b6
hexdac7ee86608d

240552235131021 has 48 divisors (see below), whose sum is σ = 380510959720320. Its totient is φ = 145228149279360.

The previous prime is 240552235131001. The next prime is 240552235131071. The reversal of 240552235131021 is 120131532255042.

240552235131021 is a `hidden beast` number, since 2 + 4 + 0 + 55 + 223 + 51 + 310 + 21 = 666.

It is not a de Polignac number, because 240552235131021 - 211 = 240552235128973 is a prime.

It is a super-3 number, since 3×2405522351310213 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240552235131001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591070815 + ... + 591477651.

It is an arithmetic number, because the mean of its divisors is an integer number (7927311660840).

Almost surely, 2240552235131021 is an apocalyptic number.

It is an amenable number.

240552235131021 is a deficient number, since it is larger than the sum of its proper divisors (139958724589299).

240552235131021 is a wasteful number, since it uses less digits than its factorization.

240552235131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429826 (or 429823 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 240552235131021 its reverse (120131532255042), we get a palindrome (360683767386063).

The spelling of 240552235131021 in words is "two hundred forty trillion, five hundred fifty-two billion, two hundred thirty-five million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 263 789 2367 2893 8679 22709 26037 68127 204381 249799 406837 749397 1220511 2248191 3661533 4475207 5972467 13425621 17917401 40276863 53752203 65697137 106998131 197091411 320994393 591274233 962983179 1176979441 3530938323 9238861433 10592814969 27716584299 83149752897 101627475763 304882427289 914647281867 2429820556879 7289461670637 21868385011911 26728026125669 80184078377007 240552235131021