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14372932057225 = 527219257012
BaseRepresentation
bin1101000100100111010110…
…0000100111100010001001
31212220001001100101100202021
43101021311200213202021
53340441231101312400
650322500035204441
73012260440500400
oct321116540474211
955801040340667
1014372932057225
114641587498a45
1217416a1a46721
138034917b33b1
14379921784637
1519dd162e071a
hexd1275827889

14372932057225 has 81 divisors (see below), whose sum is σ = 21884659431381. Its totient is φ = 9335364696000.

The previous prime is 14372932057223. The next prime is 14372932057249. The reversal of 14372932057225 is 52275023927341.

It is a happy number.

The square root of 14372932057225 is 3791165.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 835595263881 + 13537336793344 = 914109^2 + 3679312^2 .

It is not a de Polignac number, because 14372932057225 - 21 = 14372932057223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14372932057223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2521121875 + ... + 2521127575.

Almost surely, 214372932057225 is an apocalyptic number.

14372932057225 is the 3791165-th square number.

14372932057225 is the 1895583-rd centered octagonal number.

It is an amenable number.

14372932057225 is a deficient number, since it is larger than the sum of its proper divisors (7511727374156).

14372932057225 is an frugal number, since it uses more digits than its factorization.

14372932057225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 14372932057225 in words is "fourteen trillion, three hundred seventy-two billion, nine hundred thirty-two million, fifty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1225 1805 2527 3325 4655 5701 9025 12635 17689 23275 28505 39907 63175 88445 108319 142525 199535 279349 442225 541595 758233 997675 1396745 2058061 2707975 3791165 5307631 6983725 10290305 14406427 18955825 26538155 32501401 51451525 72032135 100844989 132690775 162507005 227509807 360160675 504224945 617526619 812535025 1137549035 1592568649 2521124725 3087633095 4322686333 5687745175 7962843245 11733005761 15438165475 21613431665 30258804331 39814216225 58665028805 82131040327 108067158325 151294021655 293325144025 410655201635 574917282289 756470108275 2053276008175 2874586411445 14372932057225