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14224030332066 = 23229374091800641
BaseRepresentation
bin1100111011111100101001…
…0001100111010010100010
31212100210201010111222201200
43032333022101213102202
53331021303231111231
650130232422342030
72665436505635532
oct316771221472242
955323633458650
1014224030332066
114594417336a55
121718866b8a916
137c242192c609
14372637c034c2
15199eedd55be6
hexcefca4674a2

14224030332066 has 96 divisors (see below), whose sum is σ = 32823182761200. Its totient is φ = 4443230453760.

The previous prime is 14224030332059. The next prime is 14224030332067. The reversal of 14224030332066 is 66023303042241.

14224030332066 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 0 + 303 + 320 + 6 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14203589625225 + 20440706841 = 3768765^2 + 142971^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14224030332066.

It is not an unprimeable number, because it can be changed into a prime (14224030332067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6999106 + ... + 8799746.

Almost surely, 214224030332066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224030332066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411591380600).

14224030332066 is an abundant number, since it is smaller than the sum of its proper divisors (18599152429134).

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

14224030332066 is a wasteful number, since it uses less digits than its factorization.

14224030332066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801124 (or 1801121 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 14224030332066 in words is "fourteen trillion, two hundred twenty-four billion, thirty million, three hundred thirty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 409 522 666 818 1073 1227 2146 2454 3219 3681 6438 7362 9657 11861 15133 19314 23722 30266 35583 45399 71166 90798 106749 136197 213498 272394 438857 877714 1316571 1800641 2633142 3601282 3949713 5401923 7899426 10803846 16205769 32411538 52218589 66623717 104437178 133247434 156655767 199871151 313311534 399742302 469967301 599613453 736462169 939934602 1199226906 1472924338 1932087793 2209386507 3864175586 4418773014 5796263379 6628159521 11592526758 13256319042 17388790137 21357402901 27249100253 34777580274 42714805802 54498200506 64072208703 81747300759 128144417406 163494601518 192216626109 245241902277 384433252218 490483804554 790223907337 1580447814674 2370671722011 4741343444022 7112015166033 14224030332066