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2041144110 = 23551396043
BaseRepresentation
bin111100110101001…
…0110001100101110
312021020202212100000
41321222112030232
513140013102420
6534312445130
7101403303315
oct17152261456
95236685300
102041144110
11958199865
1248b6a97a6
13266b518a5
1415512927c
15be2dd690
hex79a9632e

2041144110 has 96 divisors (see below), whose sum is σ = 5544040320. Its totient is φ = 540299808.

The previous prime is 2041144069. The next prime is 2041144111. The reversal of 2041144110 is 114411402.

2041144110 is a `hidden beast` number, since 204 + 11 + 441 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041144111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 334749 + ... + 340791.

It is an arithmetic number, because the mean of its divisors is an integer number (57750420).

Almost surely, 22041144110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041144110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772020160).

2041144110 is an abundant number, since it is smaller than the sum of its proper divisors (3502896210).

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

2041144110 is a wasteful number, since it uses less digits than its factorization.

2041144110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2041144110 is about 45179.0228978007. The cubic root of 2041144110 is about 1268.5021939609.

Adding to 2041144110 its reverse (114411402), we get a palindrome (2155555512).

The spelling of 2041144110 in words is "two billion, forty-one million, one hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 243 270 278 405 417 486 695 810 834 1215 1251 1390 2085 2430 2502 3753 4170 6043 6255 7506 11259 12086 12510 18129 18765 22518 30215 33777 36258 37530 54387 56295 60430 67554 90645 108774 112590 163161 168885 181290 271935 326322 337770 489483 543870 815805 839977 978966 1468449 1631610 1679954 2447415 2519931 2936898 4199885 4894830 5039862 7342245 7559793 8399770 12599655 14684490 15119586 22679379 25199310 37798965 45358758 68038137 75597930 113396895 136076274 204114411 226793790 340190685 408228822 680381370 1020572055 2041144110