Search a number
-
+
114673663225 = 521124721312
BaseRepresentation
bin110101011001100010…
…1010011110011111001
3101221222210201200001001
41222303011103303321
53334322424210400
6124402542325001
711166502024522
oct1526305236371
9357883650031
10114673663225
11446a6325500
121a283b89761
13aa768691c4
14579bbb7849
152eb258ba6a
hex1ab3153cf9

114673663225 has 81 divisors (see below), whose sum is σ = 160921931023. Its totient is φ = 81001492000.

The previous prime is 114673663213. The next prime is 114673663243. The reversal of 114673663225 is 522366376411.

It is a happy number.

The square root of 114673663225 is 338635.

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

It can be written as a sum of positive squares in only one way, i.e., 41282518761 + 73391144464 = 203181^2 + 270908^2 .

It is not a de Polignac number, because 114673663225 - 221 = 114671566073 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 875371410 + ... + 875371540.

Almost surely, 2114673663225 is an apocalyptic number.

114673663225 is the 338635-th square number.

114673663225 is the 169318-th centered octagonal number.

It is an amenable number.

114673663225 is a deficient number, since it is larger than the sum of its proper divisors (46248267798).

114673663225 is an equidigital number, since it uses as much as digits as its factorization.

114673663225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 114673663225 in words is "one hundred fourteen billion, six hundred seventy-three million, six hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 5 11 25 47 55 121 131 235 275 517 605 655 1175 1441 2209 2585 3025 3275 5687 6157 7205 11045 12925 15851 17161 24299 28435 30785 36025 55225 67727 79255 85805 121495 142175 153925 188771 267289 289379 338635 396275 429025 607475 744997 806567 943855 1336445 1446895 1693175 2076481 3183169 3724985 4032835 4719275 6682225 7234475 8872237 10382405 15915845 18624925 20164175 35014859 37908649 44361185 51912025 79579225 97594607 175074295 189543245 221805925 416995139 487973035 875371475 947716225 2084975695 2439865175 4586946529 10424878475 22934732645 114673663225