Search a number
-
+
44652338721 = 345324432
BaseRepresentation
bin101001100101011111…
…001001111000100001
311021020220020211110000
4221211133021320201
51212421444314341
632302450330213
73140345421354
oct514537117041
9137226224400
1044652338721
1117a34098a81
1287a1b89969
134297b96603
14223841029b
1512651678b6
hexa657c9e21

44652338721 has 45 divisors (see below), whose sum is σ = 68138979139. Its totient is φ = 29140632144.

The previous prime is 44652338707. The next prime is 44652338749. The reversal of 44652338721 is 12783325644.

The square root of 44652338721 is 211311.

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

44652338721 is a `hidden beast` number, since 4 + 46 + 523 + 3 + 87 + 2 + 1 = 666.

44652338721 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., 32189742225 + 12462596496 = 179415^2 + 111636^2 .

It is not a de Polignac number, because 44652338721 - 219 = 44651814433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44652338021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100795126 + ... + 100795568.

Almost surely, 244652338721 is an apocalyptic number.

44652338721 is the 211311-st square number.

44652338721 is the 105656-th centered octagonal number.

It is an amenable number.

44652338721 is a deficient number, since it is larger than the sum of its proper divisors (23486640418).

44652338721 is an frugal number, since it uses more digits than its factorization.

44652338721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 499 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 44652338721 in words is "forty-four billion, six hundred fifty-two million, three hundred thirty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 53 81 159 443 477 1329 1431 2809 3987 4293 8427 11961 23479 25281 35883 70437 75843 196249 211311 227529 588747 633933 1244387 1766241 1901799 3733161 5298723 10401197 11199483 15896169 31203591 33598449 93610773 100795347 280832319 551263441 842496957 1653790323 4961370969 14884112907 44652338721