Search a number
-
+
3320146804129 = 1812100672
BaseRepresentation
bin110000010100001000001…
…010111011110110100001
3102202101212201221222211221
4300110020022323312201
5413344130040213004
611021130540335041
7461605222122631
oct60241012736641
912671781858757
103320146804129
111070080351121
12457572544481
131b111c58678c
14b69a5a166c1
155b5709bb354
hex305082bbda1

3320146804129 has 9 divisors (see below), whose sum is σ = 3338923171251. Its totient is φ = 3301475468760.

The previous prime is 3320146804127. The next prime is 3320146804147. The reversal of 3320146804129 is 9214086410233.

The square root of 3320146804129 is 1822127.

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., 36585360529 + 3283561443600 = 191273^2 + 1812060^2 .

It is not a de Polignac number, because 3320146804129 - 21 = 3320146804127 is a prime.

It is a super-2 number, since 2×33201468041292 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3320146804123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329799954 + ... + 329810020.

Almost surely, 23320146804129 is an apocalyptic number.

3320146804129 is the 1822127-th square number.

3320146804129 is the 911064-th centered octagonal number.

It is an amenable number.

3320146804129 is a deficient number, since it is larger than the sum of its proper divisors (18776367122).

3320146804129 is an frugal number, since it uses more digits than its factorization.

3320146804129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20496 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 3320146804129 in words is "three trillion, three hundred twenty billion, one hundred forty-six million, eight hundred four thousand, one hundred twenty-nine".

Divisors: 1 181 10067 32761 1822127 101344489 329804987 18343352509 3320146804129