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14232353106220 = 2252323738993463
BaseRepresentation
bin1100111100011011101001…
…0110011110100100101100
31212101121012011021201112021
43033012322112132210230
53331140324343344340
650134130332315524
72666152656230314
oct317067226364454
955347164251467
1014232353106220
1145979a83233a7
12171a3aa312ba4
137c3149cb5552
14372bc72cc444
1519a33985ce4a
hexcf1ba59e92c

14232353106220 has 144 divisors (see below), whose sum is σ = 32171179884480. Its totient is φ = 5284571770368.

The previous prime is 14232353106187. The next prime is 14232353106221. The reversal of 14232353106220 is 2260135323241.

It is not an unprimeable number, because it can be changed into a prime (14232353106221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152231209 + ... + 152324671.

It is an arithmetic number, because the mean of its divisors is an integer number (223410971420).

Almost surely, 214232353106220 is an apocalyptic number.

14232353106220 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 14232353106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085589942240).

14232353106220 is an abundant number, since it is smaller than the sum of its proper divisors (17938826778260).

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

14232353106220 is a wasteful number, since it uses less digits than its factorization.

14232353106220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93944 (or 93919 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 14232353106220 its reverse (2260135323241), we get a palindrome (16492488429461).

The spelling of 14232353106220 in words is "fourteen trillion, two hundred thirty-two billion, three hundred fifty-three million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 389 460 529 740 778 851 1058 1556 1702 1945 2116 2645 3404 3890 4255 5290 7780 8510 8947 10580 14393 17020 17894 19573 28786 35788 39146 44735 57572 71965 78292 89470 93463 97865 143930 178940 186926 195730 205781 287860 331039 373852 391460 411562 467315 662078 823124 934630 1028905 1324156 1655195 1869260 2057810 2149649 3310390 3458131 4115620 4299298 6620780 6916262 7613897 8598596 10748245 13832524 15227794 17290655 21496490 30455588 34581310 36357107 38069485 42992980 49441927 69162620 72714214 76138970 79537013 98883854 145428428 152277940 159074026 181785535 197767708 247209635 318148052 363571070 397685065 494419270 727142140 795370130 836213461 988838540 1345212959 1590740260 1672426922 1829351299 2690425918 3344853844 3658702598 4181067305 5380851836 6726064795 7317405196 8362134610 9146756495 13452129590 16724269220 18293512990 19232909603 26904259180 30939898057 36587025980 38465819206 61879796114 76931638412 96164548015 123759592228 154699490285 192329096030 309398980570 384658192060 618797961140 711617655311 1423235310622 2846470621244 3558088276555 7116176553110 14232353106220