Search a number
-
+
14223411104 = 257273313397
BaseRepresentation
bin11010011111100100…
…00000011110100000
31100201020212010222212
431033302000132200
5213112143123404
610311213021252
71012316666600
oct151762003640
940636763885
1014223411104
116039821311
12290b484828
1314589a20b6
1498d030c00
15583a6406e
hex34fc807a0

14223411104 has 144 divisors (see below), whose sum is σ = 33209309448. Its totient is φ = 5977939968.

The previous prime is 14223411047. The next prime is 14223411107. The reversal of 14223411104 is 40111432241.

It can be written as a sum of positive squares in 4 ways, for example, as 9358627600 + 4864783504 = 96740^2 + 69748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14223411104.

It is not an unprimeable number, because it can be changed into a prime (14223411107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35827034 + ... + 35827430.

Almost surely, 214223411104 is an apocalyptic number.

14223411104 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 14223411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604654724).

14223411104 is an abundant number, since it is smaller than the sum of its proper divisors (18985898344).

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

14223411104 is a wasteful number, since it uses less digits than its factorization.

14223411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14223411104 its reverse (40111432241), we get a palindrome (54334843345).

The spelling of 14223411104 in words is "fourteen billion, two hundred twenty-three million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 313 392 397 511 584 626 784 794 1022 1168 1252 1568 1588 2044 2191 2336 2504 2779 3176 3577 4088 4382 5008 5558 6352 7154 8176 8764 10016 11116 12704 14308 15337 16352 17528 19453 22232 22849 28616 28981 30674 35056 38906 44464 45698 57232 57962 61348 70112 77812 88928 91396 114464 115924 122696 124261 155624 159943 182792 202867 231848 245392 248522 311248 319886 365584 405734 463696 490784 497044 622496 639772 731168 811468 869827 927392 994088 1119601 1279544 1420069 1622936 1739654 1988176 2239202 2559088 2840138 3245872 3479308 3976352 4478404 5118176 5680276 6088789 6491744 6958616 8956808 9071053 11360552 12177578 13917232 17913616 18142106 22721104 24355156 27834464 35827232 36284212 45442208 48710312 63497371 72568424 97420624 126994742 145136848 194841248 253989484 290273696 444481597 507978968 888963194 1015957936 1777926388 2031915872 3555852776 7111705552 14223411104