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14441440216050 = 2335272161148243
BaseRepresentation
bin1101001000100110100011…
…1010100000001111110010
31220010120212210120102021000
43102021220322200033302
53343102032143403200
650414150034542430
73020234231313021
oct322115072401762
956116783512230
1014441440216050
114668642572721
121752a21137a16
13809a8bb34293
1437cd801bc8b8
151a09c5969300
hexd2268ea03f2

14441440216050 has 96 divisors (see below), whose sum is σ = 39795010724160. Its totient is φ = 3850971379200.

The previous prime is 14441440216043. The next prime is 14441440216061. The reversal of 14441440216050 is 5061204414441.

14441440216050 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 4 + 40 + 2 + 1 + 605 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14441440215996 and 14441440216014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97343229 + ... + 97491471.

It is an arithmetic number, because the mean of its divisors is an integer number (414531361710).

Almost surely, 214441440216050 is an apocalyptic number.

14441440216050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14441440216050 is an abundant number, since it is smaller than the sum of its proper divisors (25353570508110).

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

14441440216050 is a wasteful number, since it uses less digits than its factorization.

14441440216050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220425 (or 220414 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14441440216050 in words is "fourteen trillion, four hundred forty-one billion, four hundred forty million, two hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 72161 144322 148243 216483 296486 360805 432966 444729 649449 721610 741215 889458 1082415 1298898 1334187 1482430 1804025 1948347 2164830 2223645 2668374 3247245 3608050 3706075 3896694 4002561 4447290 5412075 6494490 6670935 7412150 8005122 9741735 10824150 11118225 13341870 16236225 19483470 20012805 22236450 32472450 33354675 40025610 48708675 66709350 97417350 100064025 200128050 10697363123 21394726246 32092089369 53486815615 64184178738 96276268107 106973631230 160460446845 192552536214 267434078075 288828804321 320920893690 481381340535 534868156150 577657608642 802302234225 962762681070 1444144021605 1604604468450 2406906702675 2888288043210 4813813405350 7220720108025 14441440216050