Search a number
-
+
2044123104 = 25379409659
BaseRepresentation
bin111100111010110…
…1101011111100000
312021110101012202010
41321311231133200
513141243414404
6534500352520
7101440521402
oct17165553740
95243335663
102044123104
11959943a41
124906a5740
132676557ca
141556a2b72
15be6cb189
hex79d6d7e0

2044123104 has 96 divisors (see below), whose sum is σ = 5455296000. Its totient is φ = 670086144.

The previous prime is 2044123099. The next prime is 2044123111. The reversal of 2044123104 is 4013214402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3101527 + ... + 3102185.

It is an arithmetic number, because the mean of its divisors is an integer number (56826000).

Almost surely, 22044123104 is an apocalyptic number.

2044123104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727648000).

2044123104 is an abundant number, since it is smaller than the sum of its proper divisors (3411172896).

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

2044123104 is a wasteful number, since it uses less digits than its factorization.

2044123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2044123104 is about 45211.9796514154. The cubic root of 2044123104 is about 1269.1190087356.

Adding to 2044123104 its reverse (4013214402), we get a palindrome (6057337506).

The spelling of 2044123104 in words is "two billion, forty-four million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 409 474 632 659 818 948 1227 1264 1318 1636 1896 1977 2454 2528 2636 3272 3792 3954 4908 5272 6544 7584 7908 9816 10544 13088 15816 19632 21088 31632 32311 39264 52061 63264 64622 96933 104122 129244 156183 193866 208244 258488 269531 312366 387732 416488 516976 539062 624732 775464 808593 832976 1033952 1078124 1249464 1550928 1617186 1665952 2156248 2498928 3101856 3234372 4312496 4997856 6468744 8624992 12937488 21292949 25874976 42585898 63878847 85171796 127757694 170343592 255515388 340687184 511030776 681374368 1022061552 2044123104