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441316161 = 331121310391
BaseRepresentation
bin11010010011011…
…111001101000001
31010202102011222000
4122103133031001
51400434104121
6111442534213
713636061016
oct3223371501
91122364860
10441316161
11207125400
12103967369
1370579230
144287b70d
1528b25526
hex1a4df341

441316161 has 48 divisors (see below), whose sum is σ = 773996160. Its totient is φ = 246866400.

The previous prime is 441316159. The next prime is 441316177. The reversal of 441316161 is 161613144.

441316161 is a `hidden beast` number, since 4 + 41 + 3 + 1 + 616 + 1 = 666.

It is not a de Polignac number, because 441316161 - 21 = 441316159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (441316061) 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, 37276 + ... + 47666.

It is an arithmetic number, because the mean of its divisors is an integer number (16124920).

Almost surely, 2441316161 is an apocalyptic number.

It is an amenable number.

441316161 is a deficient number, since it is larger than the sum of its proper divisors (332679999).

441316161 is a wasteful number, since it uses less digits than its factorization.

441316161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435 (or 10418 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 441316161 is about 21007.5262941642. The cubic root of 441316161 is about 761.3481156750.

The spelling of 441316161 in words is "four hundred forty-one million, three hundred sixteen thousand, one hundred sixty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 297 351 363 429 1089 1287 1573 3267 3861 4719 10391 14157 31173 42471 93519 114301 135083 280557 342903 405249 1028709 1215747 1257311 1485913 3086127 3647241 3771933 4457739 11315799 13373217 16345043 33947397 40119651 49035129 147105387 441316161