Search a number
-
+
14112514305225 = 32527426123401
BaseRepresentation
bin1100110101011101001101…
…1001101110110011001001
31211222010212101102212111100
43031113103121232303021
53322204412130231400
650003111035052013
72654411155230000
oct315272331566311
954863771385440
1014112514305225
1145510a145a4a6
1216bb1245a1009
137b4a5c31b60b
1436b099547c37
15197173aea100
hexcd5d366ecc9

14112514305225 has 90 divisors (see below), whose sum is σ = 29488174547806. Its totient is φ = 6451434864000.

The previous prime is 14112514305179. The next prime is 14112514305229. The reversal of 14112514305225 is 52250341521141.

14112514305225 is a `hidden beast` number, since 1 + 4 + 1 + 125 + 1 + 4 + 3 + 0 + 522 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38109286656 + 14074405018569 = 195216^2 + 3751587^2 .

It is not a de Polignac number, because 14112514305225 - 28 = 14112514304969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14112514305225.

It is not an unprimeable number, because it can be changed into a prime (14112514305229) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12521476 + ... + 13601925.

Almost surely, 214112514305225 is an apocalyptic number.

14112514305225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14112514305225 is an abundant number, since it is smaller than the sum of its proper divisors (15375660242581).

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

14112514305225 is an equidigital number, since it uses as much as digits as its factorization.

14112514305225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26123445 (or 26123416 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 14112514305225 its reverse (52250341521141), we get a palindrome (66362855826366).

The spelling of 14112514305225 in words is "fourteen trillion, one hundred twelve billion, five hundred fourteen million, three hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 343 441 525 735 1029 1225 1575 1715 2205 2401 3087 3675 5145 7203 8575 11025 12005 15435 21609 25725 36015 60025 77175 108045 180075 540225 26123401 78370203 130617005 182863807 235110609 391851015 548591421 653085025 914319035 1175553045 1280046649 1645774263 1959255075 2742957105 3840139947 4571595175 5877765225 6400233245 8228871315 8960326543 11520419841 13714785525 19200699735 26880979629 32001166225 41144356575 44801632715 57602099205 62722285801 80642938887 96003498675 134404898145 188166857403 224008163575 288010496025 313611429005 403214694435 564500572209 672024490725 940834287015 1568057145025 2016073472175 2822502861045 4704171435075 14112514305225