Search a number
-
+
1044111104 = 2819972213
BaseRepresentation
bin111110001110111…
…101111100000000
32200202200100011122
4332032331330000
54114243023404
6251334531412
734605540461
oct7616757400
92622610148
101044111104
11496412143
12251806b68
1313841302a
149c950d68
15619e63be
hex3e3bdf00

1044111104 has 72 divisors (see below), whose sum is σ = 2217453840. Its totient is φ = 489259008.

The previous prime is 1044111071. The next prime is 1044111121. The reversal of 1044111104 is 4011114401.

It is a super-3 number, since 3×10441111043 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470702 + ... + 472914.

It is an arithmetic number, because the mean of its divisors is an integer number (30797970).

Almost surely, 21044111104 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 1044111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108726920).

1044111104 is an abundant number, since it is smaller than the sum of its proper divisors (1173342736).

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

1044111104 is an equidigital number, since it uses as much as digits as its factorization.

1044111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1044111104 is about 32312.7080883048. The cubic root of 1044111104 is about 1014.4926497722.

Adding to 1044111104 its reverse (4011114401), we get a palindrome (5055225505).

The spelling of 1044111104 in words is "one billion, forty-four million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 256 304 388 608 776 1216 1552 1843 2213 2432 3104 3686 4426 4864 6208 7372 8852 12416 14744 17704 24832 29488 35408 42047 58976 70816 84094 117952 141632 168188 214661 235904 283264 336376 429322 471808 566528 672752 858644 1345504 1717288 2691008 3434576 4078559 5382016 6869152 8157118 10764032 13738304 16314236 27476608 32628472 54953216 65256944 130513888 261027776 522055552 1044111104