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441413162082 = 232434712134069
BaseRepresentation
bin1100110110001100100…
…01100101010001100010
31120012100211201222102200
412123012101211101202
524213003232141312
6534440555554030
743614425653614
oct6330621452142
91505324658380
10441413162082
11160225249a92
127167045b916
13328183ca289
141751630adb4
15b7374c50dc
hex66c6465462

441413162082 has 48 divisors (see below), whose sum is σ = 999459077760. Its totient is φ = 140658116256.

The previous prime is 441413162081. The next prime is 441413162083. The reversal of 441413162082 is 280261314144.

441413162082 is a `hidden beast` number, since 4 + 4 + 1 + 413 + 162 + 0 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (441413162081) and next prime (441413162083).

It is not an unprimeable number, because it can be changed into a prime (441413162081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6030657 + ... + 6103412.

It is an arithmetic number, because the mean of its divisors is an integer number (20822064120).

Almost surely, 2441413162082 is an apocalyptic number.

441413162082 is an abundant number, since it is smaller than the sum of its proper divisors (558045915678).

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

441413162082 is a wasteful number, since it uses less digits than its factorization.

441413162082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134167 (or 12134164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 441413162082 in words is "four hundred forty-one billion, four hundred thirteen million, one hundred sixty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 18 43 47 86 94 129 141 258 282 387 423 774 846 2021 4042 6063 12126 18189 36378 12134069 24268138 36402207 72804414 109206621 218413242 521764967 570301243 1043529934 1140602486 1565294901 1710903729 3130589802 3421807458 4695884703 5132711187 9391769406 10265422374 24522953449 49045906898 73568860347 147137720694 220706581041 441413162082