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14241112120422 = 2321131191263599
BaseRepresentation
bin1100111100111100010001…
…1011011101110001100110
31212102102210120220202011200
43033033010123131301212
53331311244200323142
650142135424343330
72666613014512005
oct317170433356146
955372716822150
1014241112120422
1145a0692588410
121720033774b46
137c3c1485b0a5
143733b86d2c3c
1519a69d7d664c
hexcf3c46ddc66

14241112120422 has 144 divisors (see below), whose sum is σ = 34930064332800. Its totient is φ = 4154348556000.

The previous prime is 14241112120387. The next prime is 14241112120429. The reversal of 14241112120422 is 22402121114241.

14241112120422 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 1 + 112 + 120 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241112120429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223888579 + ... + 223952177.

It is an arithmetic number, because the mean of its divisors is an integer number (242569891200).

Almost surely, 214241112120422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241112120422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465032166400).

14241112120422 is an abundant number, since it is smaller than the sum of its proper divisors (20688952212378).

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

14241112120422 is a wasteful number, since it uses less digits than its factorization.

14241112120422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64031 (or 63837 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14241112120422 its reverse (22402121114241), we get a palindrome (36643233234663).

The spelling of 14241112120422 in words is "fourteen trillion, two hundred forty-one billion, one hundred twelve million, one hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 191 198 279 341 382 558 573 682 1023 1146 1719 2046 2101 3069 3438 4202 5921 6138 6303 11842 12606 17763 18909 35526 36481 37818 53289 63599 65131 72962 106578 109443 127198 130262 190797 195393 218886 328329 381594 390786 401291 572391 586179 656658 699589 802582 1130911 1144782 1172358 1203873 1399178 1971569 2098767 2261822 2407746 3392733 3611619 3943138 4197534 5914707 6296301 6785466 7223238 10178199 11829414 12147409 12440021 12592602 17744121 20356398 21687259 24294818 24880042 35488242 36442227 37320063 43374518 65061777 72884454 74640126 109326681 111960189 130123554 133621499 195185331 218653362 223920378 267242998 376569679 390370662 400864497 753139358 801728994 1129709037 1202593491 2259418074 2320155119 2405186982 3389127111 4142266469 4640310238 6778254222 6960465357 8284532938 12426799407 13920930714 20881396071 24853598814 25521706309 37280398221 41762792142 51043412618 71924808689 74560796442 76565118927 143849617378 153130237854 215774426067 229695356781 431548852134 459390713562 647323278201 791172895579 1294646556402 1582345791158 2373518686737 4747037373474 7120556060211 14241112120422