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3020369402241 = 3279273332
BaseRepresentation
bin101011111100111100000…
…010111001100110000001
3101200202002201220010022100
4223330330002321212001
5343441204031332431
610231312154301013
7431133366214332
oct53747402714601
911622081803270
103020369402241
11a64a27872104
1240944b727769
1318ba868c5039
14a628829a289
1553877b2c4e6
hex2bf3c0b9981

3020369402241 has 27 divisors (see below), whose sum is σ = 4419282264579. Its totient is φ = 1987820136432.

The previous prime is 3020369402221. The next prime is 3020369402263. The reversal of 3020369402241 is 1422049630203.

The square root of 3020369402241 is 1737921.

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

3020369402241 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 3 + 6 + 9 + 402 + 241 = 666.

3020369402241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20559258225 + 2999810144016 = 143385^2 + 1731996^2 .

It is a de Polignac number, because none of the positive numbers 2k-3020369402241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3020369402196 and 3020369402205.

It is not an unprimeable number, because it can be changed into a prime (3020369402201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 411883611 + ... + 411890943.

Almost surely, 23020369402241 is an apocalyptic number.

3020369402241 is the 1737921-st square number.

3020369402241 is the 868961-st centered octagonal number.

It is an amenable number.

3020369402241 is a deficient number, since it is larger than the sum of its proper divisors (1398912862338).

3020369402241 is an frugal number, since it uses more digits than its factorization.

3020369402241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14830 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 3020369402241 by its sum of digits (36), we get a square (108733298480676 = 104275262).

The spelling of 3020369402241 in words is "three trillion, twenty billion, three hundred sixty-nine million, four hundred two thousand, two hundred forty-one".

Divisors: 1 3 9 79 237 711 6241 7333 18723 21999 56169 65997 579307 1737921 5213763 45765253 53772889 137295759 161318667 411887277 483956001 4248058231 12744174693 38232524079 335596600249 1006789800747 3020369402241