Search a number
-
+
4144454541 = 321377874271
BaseRepresentation
bin1111011100000111…
…0101101110001101
3101200211112002211100
43313001311232031
531441440021131
61523130013313
7204463165563
oct36701655615
911624462740
104144454541
111837489047
12977b77239
1351082b486
142b45d7a33
15193cab7e6
hexf7075b8d

4144454541 has 24 divisors (see below), whose sum is σ = 6039206784. Its totient is φ = 2738675520.

The previous prime is 4144454533. The next prime is 4144454551. The reversal of 4144454541 is 1454544414.

It is not a de Polignac number, because 4144454541 - 23 = 4144454533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144454496 and 4144454505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144454551) 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, 968236 + ... + 972506.

It is an arithmetic number, because the mean of its divisors is an integer number (251633616).

Almost surely, 24144454541 is an apocalyptic number.

It is an amenable number.

4144454541 is a deficient number, since it is larger than the sum of its proper divisors (1894752243).

4144454541 is a wasteful number, since it uses less digits than its factorization.

4144454541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5198 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 4144454541 is about 64377.4381363533. The cubic root of 4144454541 is about 1606.2844686169.

Adding to 4144454541 its reverse (1454544414), we get a palindrome (5598998955).

The spelling of 4144454541 in words is "four billion, one hundred forty-four million, four hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 3 9 137 411 787 1233 2361 4271 7083 12813 38439 107819 323457 585127 970371 1755381 3361277 5266143 10083831 30251493 460494949 1381484847 4144454541