Search a number
-
+
44164106316 = 223211929120049
BaseRepresentation
bin101001001000011000…
…101100100001001100
311012222212120001111100
4221020120230201030
51210422002400231
632142210023100
73122266465311
oct511030544114
9135885501440
1044164106316
1117803539820
128686577a90
13421a9a17b5
1421cd63cd08
1512373761e6
hexa4862c84c

44164106316 has 72 divisors (see below), whose sum is σ = 121917978000. Its totient is φ = 13368545280.

The previous prime is 44164106303. The next prime is 44164106347. The reversal of 44164106316 is 61360146144.

44164106316 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 4 + 10 + 631 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307860 + ... + 427908.

It is an arithmetic number, because the mean of its divisors is an integer number (1693305250).

Almost surely, 244164106316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44164106316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60958989000).

44164106316 is an abundant number, since it is smaller than the sum of its proper divisors (77753871684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44164106316 is a wasteful number, since it uses less digits than its factorization.

44164106316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120999 (or 120994 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 44164106316 in words is "forty-four billion, one hundred sixty-four million, one hundred six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 929 1858 2787 3716 5574 8361 10219 11148 16722 20438 30657 33444 40876 61314 91971 120049 122628 183942 240098 360147 367884 480196 720294 1080441 1320539 1440588 2160882 2641078 3961617 4321764 5282156 7923234 11884851 15846468 23769702 47539404 111525521 223051042 334576563 446102084 669153126 1003729689 1226780731 1338306252 2007459378 2453561462 3680342193 4014918756 4907122924 7360684386 11041026579 14721368772 22082053158 44164106316