Search a number
-
+
240552205521552 = 24324151340240441
BaseRepresentation
bin110110101100011111101100…
…110000101001001010010000
31011112201120021210200001112200
4312230133230300221022100
5223012201404103142202
62211340054014323200
7101445215621020521
oct6654375460511220
91145646253601480
10240552205521552
116a713687919951
1222b90766ab9500
13a42bc8b659a62
144358b0892a848
151cc24acbe1e1c
hexdac7ecc29290

240552205521552 has 60 divisors (see below), whose sum is σ = 673228308802764. Its totient is φ = 80182134973440.

The previous prime is 240552205521527. The next prime is 240552205521619. The reversal of 240552205521552 is 255125502255042.

240552205521552 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 5 + 2 + 20 + 55 + 21 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195344117621136 + 45208087900416 = 13976556^2 + 6723696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240552205521498 and 240552205521507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14142349 + ... + 26098092.

Almost surely, 2240552205521552 is an apocalyptic number.

It is an amenable number.

240552205521552 is an abundant number, since it is smaller than the sum of its proper divisors (432676103281212).

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

240552205521552 is a wasteful number, since it uses less digits than its factorization.

240552205521552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40281968 (or 40281959 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 45.

Adding to 240552205521552 its reverse (255125502255042), we get a palindrome (495677707776594).

The spelling of 240552205521552 in words is "two hundred forty trillion, five hundred fifty-two billion, two hundred five million, five hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 41513 83026 124539 166052 249078 332104 373617 498156 664208 747234 996312 1494468 1992624 2988936 5977872 40240441 80480882 120721323 160961764 241442646 321923528 362163969 482885292 643847056 724327938 965770584 1448655876 1931541168 2897311752 5794623504 1670501427233 3341002854466 5011504281699 6682005708932 10023008563398 13364011417864 15034512845097 20046017126796 26728022835728 30069025690194 40092034253592 60138051380388 80184068507184 120276102760776 240552205521552