Search a number
-
+
5143041225 = 3252726832
BaseRepresentation
bin1001100101000110…
…01001010011001001
3111021102112120020100
410302203021103021
541013104304400
62210201120013
7241310062200
oct46243112311
914242476210
105143041225
1121aa126aa3
12bb6489009
1363c69227a
1436b098237
152017ae100
hex1328c94c9

5143041225 has 81 divisors (see below), whose sum is σ = 10731430983. Its totient is φ = 2347662240.

The previous prime is 5143041179. The next prime is 5143041227. The reversal of 5143041225 is 5221403415.

The square root of 5143041225 is 71715.

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

5143041225 is a `hidden beast` number, since 5 + 1 + 430 + 4 + 1 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1851494841 + 3291546384 = 43029^2 + 57372^2 .

It is not a de Polignac number, because 5143041225 - 27 = 5143041097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5143041227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7529734 + ... + 7530416.

Almost surely, 25143041225 is an apocalyptic number.

5143041225 is the 71715-th square number.

5143041225 is the 35858-th centered octagonal number.

It is an amenable number.

5143041225 is an abundant number, since it is smaller than the sum of its proper divisors (5588389758).

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

5143041225 is an equidigital number, since it uses as much as digits as its factorization.

5143041225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 5143041225 is about 1726.1293423836.

The spelling of 5143041225 in words is "five billion, one hundred forty-three million, forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 683 735 1225 1575 2049 2205 3415 3675 4781 6147 10245 11025 14343 17075 23905 30735 33467 43029 51225 71715 100401 119525 153675 167335 215145 301203 358575 466489 502005 836675 1075725 1399467 1506015 2332445 2510025 3265423 4198401 6997335 7530075 9796269 11662225 16327115 20992005 22857961 29388807 34986675 48981345 68573883 81635575 104960025 114289805 146944035 205721649 244906725 342869415 571449025 734720175 1028608245 1714347075 5143041225