Search a number
-
+
241221440004543 = 32199723896087401
BaseRepresentation
bin110110110110001110111110…
…001111100110000110111111
31011122002112200220102020222200
4312312032332033212012333
5223104133002120121133
62213011333312042543
7101544450104201265
oct6666167617460677
91148075626366880
10241221440004543
116a951490286229
122307a3b8233453
13a47a112c6335b
14437d273c76435
151cd4acad5a913
hexdb63be3e61bf

241221440004543 has 48 divisors (see below), whose sum is σ = 370705737074400. Its totient is φ = 150716621721600.

The previous prime is 241221440004529. The next prime is 241221440004547. The reversal of 241221440004543 is 345400044122142.

241221440004543 is a `hidden beast` number, since 2 + 41 + 22 + 14 + 40 + 0 + 0 + 4 + 543 = 666.

It is not a de Polignac number, because 241221440004543 - 210 = 241221440003519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241221440004498 and 241221440004507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241221440004547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36582643 + ... + 42670043.

It is an arithmetic number, because the mean of its divisors is an integer number (7723036189050).

Almost surely, 2241221440004543 is an apocalyptic number.

241221440004543 is a deficient number, since it is larger than the sum of its proper divisors (129484297069857).

241221440004543 is a wasteful number, since it uses less digits than its factorization.

241221440004543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089912 (or 6089909 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 241221440004543 its reverse (345400044122142), we get a palindrome (586621484126685).

The spelling of 241221440004543 in words is "two hundred forty-one trillion, two hundred twenty-one billion, four hundred forty million, four thousand, five hundred forty-three".

Divisors: 1 3 9 19 57 97 171 291 873 1843 2389 5529 7167 16587 21501 45391 136173 231733 408519 695199 2085597 4402927 6087401 13208781 18262203 39626343 54786609 115660619 346981857 590477897 1040945571 1771433691 5314301073 11219080043 14542800989 33657240129 43628402967 100971720387 130885208901 276313218791 828939656373 1410651695933 2486818969119 4231955087799 12695865263397 26802382222727 80407146668181 241221440004543