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2041444120 = 235234154121
BaseRepresentation
bin111100110101101…
…1111011100011000
312021021100002212111
41321223133130120
513140102202440
6534323122104
7101405663062
oct17153373430
95237302774
102041444120
11958384201
1248b813334
13266c28301
141551a6732
15be34c4ea
hex79adf718

2041444120 has 64 divisors (see below), whose sum is σ = 4909947840. Its totient is φ = 762009600.

The previous prime is 2041444109. The next prime is 2041444121. The reversal of 2041444120 is 214441402.

It is a junction number, because it is equal to n+sod(n) for n = 2041444091 and 2041444100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041444121) by changing a digit.

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, 10660 + ... + 64780.

It is an arithmetic number, because the mean of its divisors is an integer number (76717935).

Almost surely, 22041444120 is an apocalyptic number.

2041444120 is a gapful number since it is divisible by the number (20) 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 2041444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454973920).

2041444120 is an abundant number, since it is smaller than the sum of its proper divisors (2868503720).

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

2041444120 is a wasteful number, since it uses less digits than its factorization.

2041444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54196 (or 54192 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2041444120 is about 45182.3430114021. The cubic root of 2041444120 is about 1268.5643396137.

Adding to 2041444120 its reverse (214441402), we get a palindrome (2255885522).

The spelling of 2041444120 in words is "two billion, forty-one million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 3772 4715 7544 9430 18860 37720 54121 108242 216484 270605 432968 541210 1082420 1244783 2164840 2218961 2489566 4437922 4979132 6223915 8875844 9958264 11094805 12447830 17751688 22189610 24895660 44379220 49791320 51036103 88758440 102072206 204144412 255180515 408288824 510361030 1020722060 2041444120