Search a number
-
+
14123004224 = 26724619769
BaseRepresentation
bin11010010011100101…
…11111000101000000
31100110020220221122112
431021302333011000
5212410442113344
610253224554452
71006660361300
oct151162770500
940406827575
1014123004224
115a9808211a
1228a1922a28
131440c48344
1497d975600
15579d2dc9e
hex349cbf140

14123004224 has 84 divisors (see below), whose sum is σ = 32674963860. Its totient is φ = 6038968320.

The previous prime is 14123004221. The next prime is 14123004241. The reversal of 14123004224 is 42240032141.

It can be written as a sum of positive squares in 2 ways, for example, as 4682938624 + 9440065600 = 68432^2 + 97160^2 .

It is a super-2 number, since 2×141230042242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14123004224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123004221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440812 + ... + 1450580.

It is an arithmetic number, because the mean of its divisors is an integer number (388987665).

Almost surely, 214123004224 is an apocalyptic number.

14123004224 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 14123004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337481930).

14123004224 is an abundant number, since it is smaller than the sum of its proper divisors (18551959636).

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

14123004224 is an equidigital number, since it uses as much as digits as its factorization.

14123004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14123004224 its reverse (42240032141), we get a palindrome (56363036365).

The spelling of 14123004224 in words is "fourteen billion, one hundred twenty-three million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 461 784 922 1568 1844 3136 3227 3688 6454 7376 9769 12908 14752 19538 22589 25816 29504 39076 45178 51632 68383 78152 90356 103264 136766 156304 180712 206528 273532 312608 361424 478681 547064 625216 722848 957362 1094128 1445696 1914724 2188256 3829448 4376512 4503509 7658896 9007018 15317792 18014036 30635584 31524563 36028072 63049126 72056144 126098252 144112288 220671941 252196504 288224576 441343882 504393008 882687764 1008786016 1765375528 2017572032 3530751056 7061502112 14123004224