Search a number
-
+
39113368441 = 7219214872
BaseRepresentation
bin100100011011010101…
…101010001101111001
310201221212200222122121
4210123111222031321
51120101010242231
625545103121241
72553160101100
oct443325521571
9121855628577
1039113368441
1115651527694
1276b6ba3221
1338c44899c4
141c70931037
15103dc4b311
hex91b56a379

39113368441 has 27 divisors (see below), whose sum is σ = 48052272069. Its totient is φ = 31739872248.

The previous prime is 39113368397. The next prime is 39113368493. The reversal of 39113368441 is 14486331193.

The square root of 39113368441 is 197771.

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

It is not a de Polignac number, because 39113368441 - 29 = 39113367929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39113362441) 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 26 ways as a sum of consecutive naturals, for example, 26302800 + ... + 26304286.

Almost surely, 239113368441 is an apocalyptic number.

39113368441 is the 197771-st square number.

39113368441 is the 98886-th centered octagonal number.

It is an amenable number.

39113368441 is a deficient number, since it is larger than the sum of its proper divisors (8938903628).

39113368441 is an frugal number, since it uses more digits than its factorization.

39113368441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 1513 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The spelling of 39113368441 in words is "thirty-nine billion, one hundred thirteen million, three hundred sixty-eight thousand, four hundred forty-one".

Divisors: 1 7 19 49 133 361 931 1487 2527 10409 17689 28253 72863 197771 536807 1384397 2211169 3757649 15478183 26303543 42012211 108347281 294085477 798232009 2058598339 5587624063 39113368441