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104443320114 = 232723103934687
BaseRepresentation
bin110000101000101001…
…1101001011100110010
3100222120211112101120100
41201101103221130302
53202344442220424
6115551450453230
710355126400360
oct1412123513462
9328524471510
10104443320114
1140326593291
12182a9a34216
139b0622c543
1450ab214630
152ab437ddc9
hex18514e9732

104443320114 has 96 divisors (see below), whose sum is σ = 270133493760. Its totient is φ = 28515221856.

The previous prime is 104443320083. The next prime is 104443320127. The reversal of 104443320114 is 411023344401.

104443320114 is a `hidden beast` number, since 1 + 0 + 4 + 443 + 3 + 201 + 14 = 666.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2993679 + ... + 3028365.

It is an arithmetic number, because the mean of its divisors is an integer number (2813890560).

Almost surely, 2104443320114 is an apocalyptic number.

104443320114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104443320114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135066746880).

104443320114 is an abundant number, since it is smaller than the sum of its proper divisors (165690173646).

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

104443320114 is a wasteful number, since it uses less digits than its factorization.

104443320114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35764 (or 35761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104443320114 its reverse (411023344401), we get a palindrome (515466664515).

The spelling of 104443320114 in words is "one hundred four billion, four hundred forty-three million, three hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1039 1449 2078 2898 3117 6234 7273 9351 14546 18702 21819 23897 34687 43638 47794 65457 69374 71691 104061 130914 143382 167279 208122 215073 242809 312183 334558 430146 485618 501837 624366 728427 797801 1003674 1456854 1505511 1595602 2185281 2393403 3011022 4370562 4786806 5584607 7180209 11169214 14360418 16753821 33507642 36039793 50261463 72079586 100522926 108119379 216238758 252278551 324358137 504557102 648716274 756835653 828915239 1513671306 1657830478 2270506959 2486745717 4541013918 4973491434 5802406673 7460237151 11604813346 14920474302 17407220019 34814440038 52221660057 104443320114