Search a number
-
+
3224442444223 = 71131371374953
BaseRepresentation
bin101110111010111111101…
…111110001100110111111
3102102020211221022210000111
4232322333233301212333
5410312124231203343
610505142144010451
7451646455361320
oct56727757614677
912366757283014
103224442444223
111033529776000
12440b03300a27
131a50a99cac10
14b20c72a6447
1558d1d953c9d
hex2eebfbf19bf

3224442444223 has 64 divisors (see below), whose sum is σ = 4426592937984. Its totient is φ = 2286607276800.

The previous prime is 3224442444221. The next prime is 3224442444229.

3224442444223 is nontrivially palindromic in base 10.

3224442444223 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3224442444223 - 21 = 3224442444221 is a prime.

It is a super-2 number, since 2×32244424442232 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224442444221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8412115 + ... + 8787067.

It is an arithmetic number, because the mean of its divisors is an integer number (69165514656).

Almost surely, 23224442444223 is an apocalyptic number.

3224442444223 is a deficient number, since it is larger than the sum of its proper divisors (1202150493761).

3224442444223 is a wasteful number, since it uses less digits than its factorization.

3224442444223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375077 (or 375055 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 40.

The spelling of 3224442444223 in words is "three trillion, two hundred twenty-four billion, four hundred forty-two million, four hundred forty-four thousand, two hundred twenty-three".

Divisors: 1 7 11 13 71 77 91 121 143 497 781 847 923 1001 1331 1573 5467 6461 8591 9317 10153 11011 17303 60137 71071 94501 111683 121121 374953 661507 781781 1228513 2624671 4124483 4874389 8599591 26621663 28871381 34120723 45369313 53618279 186351641 292838293 317585191 346081619 375327953 499062443 589801069 2049868051 2422571333 3221221223 3493437101 3806897809 4128607483 6487811759 22548548561 26648284663 35433433453 41875875899 45414682313 248034034171 293131131293 460634634889 3224442444223