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14103232424300 = 22523759358118041
BaseRepresentation
bin1100110100111010101000…
…1010001010100101101100
31211221020220111221110112202
43031032222022022211230
53322031410000034200
645554534024121032
72653632150442445
oct315165212124554
954836814843482
1014103232424300
11454816903aa28
1216b9374006178
137b3c10345796
1436a8589182cc
15196ccdcdd1d5
hexcd3aa28a96c

14103232424300 has 144 divisors (see below), whose sum is σ = 31974579433440. Its totient is φ = 5393988864000.

The previous prime is 14103232424291. The next prime is 14103232424357. The reversal of 14103232424300 is 342423230141.

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, 781723280 + ... + 781741320.

It is an arithmetic number, because the mean of its divisors is an integer number (222045690510).

Almost surely, 214103232424300 is an apocalyptic number.

14103232424300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14103232424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987289716720).

14103232424300 is an abundant number, since it is smaller than the sum of its proper divisors (17871347009140).

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

14103232424300 is a wasteful number, since it uses less digits than its factorization.

14103232424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21732 (or 21725 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 14103232424300 its reverse (342423230141), we get a palindrome (14445655654441).

The spelling of 14103232424300 in words is "fourteen trillion, one hundred three billion, two hundred thirty-two million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 59 74 100 118 148 185 236 295 370 590 740 925 1180 1475 1850 2183 2950 3581 3700 4366 5900 7162 8732 10915 14324 17905 18041 21830 35810 36082 43660 54575 71620 72164 89525 90205 109150 132497 179050 180410 211279 218300 264994 358100 360820 422558 451025 529988 662485 667517 845116 902050 1056395 1064419 1324970 1335034 1804100 2112790 2128838 2649940 2670068 3312425 3337585 4225580 4257676 5281975 5322095 6624850 6675170 7817323 10563950 10644190 13249700 13350340 15634646 16687925 21127900 21288380 26610475 31269292 33375850 39086615 39383503 53220950 64604821 66751700 78173230 78767006 106441900 129209642 156346460 157534012 195433075 196917515 258419284 323024105 390866150 393835030 646048210 781732300 787670060 984587575 1292096420 1615120525 1969175150 2390378377 3230241050 3811684439 3938350300 4780756754 6460482100 7623368878 9561513508 11951891885 15246737756 19058422195 23903783770 38116844390 47807567540 59759459425 76233688780 95292110975 119518918850 141032324243 190584221950 239037837700 282064648486 381168443900 564129296972 705161621215 1410323242430 2820646484860 3525808106075 7051616212150 14103232424300