Search a number
-
+
5345364141 = 3213233196081
BaseRepresentation
bin1001111101001101…
…11100100010101101
3111210112020122002200
410332212330202231
541421403123031
62242225412113
7246314563005
oct47646744255
914715218080
105345364141
1122a3356217
12105219a039
13672580980
14389cc3005
152144268e6
hex13e9bc8ad

5345364141 has 24 divisors (see below), whose sum is σ = 8350740216. Its totient is φ = 3275320320.

The previous prime is 5345364139. The next prime is 5345364239. The reversal of 5345364141 is 1414635435.

5345364141 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 3 + 641 + 4 + 1 = 666.

5345364141 is digitally balanced in base 3, 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 4 ways, for example, as 596776041 + 4748588100 = 24429^2 + 68910^2 .

It is not a de Polignac number, because 5345364141 - 21 = 5345364139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5345364096 and 5345364105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345364121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70780 + ... + 125301.

It is an arithmetic number, because the mean of its divisors is an integer number (347947509).

Almost surely, 25345364141 is an apocalyptic number.

It is an amenable number.

5345364141 is a deficient number, since it is larger than the sum of its proper divisors (3005376075).

5345364141 is a wasteful number, since it uses less digits than its factorization.

5345364141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196333 (or 196330 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5345364141 is about 73111.9972439544. The cubic root of 5345364141 is about 1748.4736776971.

Adding to 5345364141 its reverse (1414635435), we get a palindrome (6759999576).

The spelling of 5345364141 in words is "five billion, three hundred forty-five million, three hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 233 699 2097 3029 9087 27261 196081 588243 1764729 2549053 7647159 22941477 45686873 137060619 411181857 593929349 1781788047 5345364141