Search a number
-
+
241222352232141 = 377101603155083
BaseRepresentation
bin110110110110001111110100…
…100111011101111011001101
31011122002122001110221020000000
4312312033310213131323031
5223104141334132412031
62213012004020154513
7101544511522045050
oct6666176447357315
91148078043836000
10241222352232141
116a9519091aa335
122307a611838a39
13a47a229c4b4b7
14437d31d096a97
151cd4b30ea03e6
hexdb63f49ddecd

241222352232141 has 64 divisors (see below), whose sum is σ = 413467740272640. Its totient is φ = 137839098652272.

The previous prime is 241222352232139. The next prime is 241222352232161. The reversal of 241222352232141 is 141232253222142.

241222352232141 is a `hidden beast` number, since 2 + 4 + 1 + 222 + 352 + 23 + 21 + 41 = 666.

It is not a de Polignac number, because 241222352232141 - 21 = 241222352232139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241222352232096 and 241222352232105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241222352232161) 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 63 ways as a sum of consecutive naturals, for example, 1555362786 + ... + 1555517868.

It is an arithmetic number, because the mean of its divisors is an integer number (6460433441760).

Almost surely, 2241222352232141 is an apocalyptic number.

241222352232141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

241222352232141 is a deficient number, since it is larger than the sum of its proper divisors (172245388040499).

241222352232141 is an equidigital number, since it uses as much as digits as its factorization.

241222352232141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256714 (or 256696 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Subtracting from 241222352232141 its reverse (141232253222142), we obtain a palindrome (99990099009999).

The spelling of 241222352232141 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 15309 101603 155083 304809 465249 711221 914427 1085581 1395747 2133663 2743281 3256743 4187241 6400989 8229843 9770229 12561723 19202967 24689529 29310687 37685169 57608901 74068587 87932061 113055507 172826703 222205761 263796183 339166521 518480109 791388549 1555440327 2374165647 15756898049 47270694147 110298286343 141812082441 330894859029 425436247323 992684577087 1276308741969 2978053731261 3828926225907 8934161193783 11486778677721 26802483581349 34460336033163 80407450744047 241222352232141