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14232101240224 = 257717911327539
BaseRepresentation
bin1100111100011010101101…
…0101101011110110100000
31212101120112121100121100001
43033012223111223312200
53331134320404141344
650134045334105344
72666143510344160
oct317065325536640
955346477317301
1014232101240224
11459788913578a
12171a339aab254
137c3109a6b70a
14372ba1a885a0
1519a3226aaed4
hexcf1ab56bda0

14232101240224 has 96 divisors (see below), whose sum is σ = 32884301721600. Its totient is φ = 5937442318080.

The previous prime is 14232101240197. The next prime is 14232101240239. The reversal of 14232101240224 is 42204210123241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14232101240192 and 14232101240201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4407354 + ... + 6920185.

It is an arithmetic number, because the mean of its divisors is an integer number (342544809600).

Almost surely, 214232101240224 is an apocalyptic number.

14232101240224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14232101240224 is an abundant number, since it is smaller than the sum of its proper divisors (18652200481376).

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

14232101240224 is a wasteful number, since it uses less digits than its factorization.

14232101240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327706 (or 11327698 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14232101240224 its reverse (42204210123241), we get a palindrome (56436311363465).

The spelling of 14232101240224 in words is "fourteen trillion, two hundred thirty-two billion, one hundred one million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 79 112 142 158 224 284 316 497 553 568 632 994 1106 1136 1264 1988 2212 2272 2528 3976 4424 5609 7952 8848 11218 15904 17696 22436 39263 44872 78526 89744 157052 179488 314104 628208 1256416 11327539 22655078 45310156 79292773 90620312 158585546 181240624 317171092 362481248 634342184 804255269 894875581 1268684368 1608510538 1789751162 2537368736 3217021076 3579502324 5629786883 6264129067 6434042152 7159004648 11259573766 12528258134 12868084304 14318009296 22519147532 25056516268 25736168608 28636018592 45038295064 50113032536 63536166251 90076590128 100226065072 127072332502 180153180256 200452130144 254144665004 444753163757 508289330008 889506327514 1016578660016 1779012655028 2033157320032 3558025310056 7116050620112 14232101240224