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14227207344 = 24327130710799
BaseRepresentation
bin11010100000000000…
…11111010010110000
31100201112000000110100
431100000133102300
5213114131113334
610311430232400
71012364160420
oct152000372260
940645000410
1014227207344
1160409844a9
1229107b5700
131459700cac
1498d73c480
15584063c99
hex35001f4b0

14227207344 has 120 divisors (see below), whose sum is σ = 45543513600. Its totient is φ = 4061430144.

The previous prime is 14227207307. The next prime is 14227207349. The reversal of 14227207344 is 44370272241.

14227207344 is a `hidden beast` number, since 1 + 42 + 272 + 0 + 7 + 344 = 666.

It is a super-3 number, since 3×142272073443 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14227207299 and 14227207308.

It is not an unprimeable number, because it can be changed into a prime (14227207349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312057 + ... + 1322855.

It is an arithmetic number, because the mean of its divisors is an integer number (379529280).

Almost surely, 214227207344 is an apocalyptic number.

14227207344 is a gapful number since it is divisible by the number (14) 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 14227207344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771756800).

14227207344 is an abundant number, since it is smaller than the sum of its proper divisors (31316306256).

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

14227207344 is a wasteful number, since it uses less digits than its factorization.

14227207344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 14227207344 its reverse (44370272241), we get a palindrome (58597479585).

The spelling of 14227207344 in words is "fourteen billion, two hundred twenty-seven million, two hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1307 2614 3921 5228 7842 9149 10456 10799 11763 15684 18298 20912 21598 23526 27447 31368 32397 36596 43196 47052 54894 62736 64794 73192 75593 82341 86392 94104 97191 109788 129588 146384 151186 164682 172784 188208 194382 219576 226779 259176 302372 329364 388764 439152 453558 518352 604744 658728 680337 777528 907116 1209488 1317456 1360674 1555056 1814232 2721348 3628464 5442696 10885392 14114293 28228586 42342879 56457172 84685758 98800051 112914344 127028637 169371516 197600102 225828688 254057274 296400153 338743032 395200204 508114548 592800306 677486064 790400408 889200459 1016229096 1185600612 1580800816 1778400918 2032458192 2371201224 3556801836 4742402448 7113603672 14227207344