Search a number
-
+
441203412234114 = 2359007100791157
BaseRepresentation
bin110010001010001011010110…
…0101010001110111110000010
32010212011122010101121200200000
41210110112230222032332002
5430312134042012442424
64202210014403540430
7161634615566142465
oct14424265452167602
92125148111550600
10441203412234114
11118643353069852
124159821608a716
1315c253c331a74a
147ad45054c12dc
153601aa73a83c9
hex19145aca8ef82

441203412234114 has 48 divisors (see below), whose sum is σ = 991456012380288. Its totient is φ = 147051474451632.

The previous prime is 441203412234077. The next prime is 441203412234121. The reversal of 441203412234114 is 411432214302144.

441203412234114 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 0 + 3 + 412 + 234 + 1 + 1 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 46018177 + ... + 54772980.

It is an arithmetic number, because the mean of its divisors is an integer number (20655333591256).

Almost surely, 2441203412234114 is an apocalyptic number.

441203412234114 is an abundant number, since it is smaller than the sum of its proper divisors (550252600146174).

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

441203412234114 is a wasteful number, since it uses less digits than its factorization.

441203412234114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100800181 (or 100800169 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 441203412234114 its reverse (411432214302144), we get a palindrome (852635626536258).

The spelling of 441203412234114 in words is "four hundred forty-one trillion, two hundred three billion, four hundred twelve million, two hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 9007 18014 27021 54042 81063 162126 243189 486378 729567 1459134 2188701 4377402 100791157 201582314 302373471 604746942 907120413 1814240826 2721361239 5442722478 8164083717 16328167434 24492251151 48984502302 907825951099 1815651902198 2723477853297 5446955706594 8170433559891 16340867119782 24511300679673 49022601359346 73533902039019 147067804078038 220601706117057 441203412234114