Search a number
-
+
44084461369 = 1323125212
BaseRepresentation
bin101001000011101000…
…110111111100111001
311012210022200200011111
4221003220313330321
51210241110230434
632130243000321
73120311511304
oct510350677471
9135708620144
1044084461369
1117772590353
1286639690a1
134207336c00
1421c2c29b3b
151230392964
hexa43a37f39

44084461369 has 27 divisors (see below), whose sum is σ = 49420844397. Its totient is φ = 39305073600.

The previous prime is 44084461357. The next prime is 44084461391. The reversal of 44084461369 is 96316448044.

It is a happy number.

The square root of 44084461369 is 209963.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14504589225 + 29579872144 = 120435^2 + 171988^2 .

It is not a de Polignac number, because 44084461369 - 29 = 44084460857 is a prime.

It is a super-2 number, since 2×440844613692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44084461349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84614829 + ... + 84615349.

Almost surely, 244084461369 is an apocalyptic number.

44084461369 is the 209963-rd square number.

44084461369 is the 104982-nd centered octagonal number.

It is an amenable number.

44084461369 is a deficient number, since it is larger than the sum of its proper divisors (5336383028).

44084461369 is an frugal number, since it uses more digits than its factorization.

44084461369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 44084461369 by its sum of digits (49), we get a square (2160138607081 = 14697412).

The spelling of 44084461369 in words is "forty-four billion, eighty-four million, four hundred sixty-one thousand, three hundred sixty-nine".

Divisors: 1 13 31 169 403 521 961 5239 6773 12493 16151 88049 162409 209963 271441 500681 2729519 3528733 6508853 8414671 45873529 84615089 109390723 260854801 1422079399 3391112413 44084461369