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4041004422 = 2373131311153
BaseRepresentation
bin1111000011011100…
…1101010110000110
3101102121212021221110
43300313031112012
531233444120142
61504552425450
7202065654000
oct36067152606
911377767843
104041004422
111794050484
129493a8286
134c527a4a0
142a4989370
15189b7499c
hexf0dcd586

4041004422 has 128 divisors (see below), whose sum is σ = 10236441600. Its totient is φ = 1056706560.

The previous prime is 4041004367. The next prime is 4041004423. The reversal of 4041004422 is 2244001404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041004423) 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 63 ways as a sum of consecutive naturals, for example, 3504198 + ... + 3505350.

It is an arithmetic number, because the mean of its divisors is an integer number (79972200).

Almost surely, 24041004422 is an apocalyptic number.

4041004422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041004422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118220800).

4041004422 is an abundant number, since it is smaller than the sum of its proper divisors (6195437178).

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

4041004422 is a wasteful number, since it uses less digits than its factorization.

4041004422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4041004422 is about 63568.8950824222. The cubic root of 4041004422 is about 1592.8068273266.

Adding to 4041004422 its reverse (2244001404), we get a palindrome (6285005826).

The spelling of 4041004422 in words is "four billion, forty-one million, four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 131 147 182 262 273 294 343 393 546 637 686 786 917 1029 1153 1274 1703 1834 1911 2058 2306 2751 3406 3459 3822 4459 5109 5502 6419 6918 8071 8918 10218 11921 12838 13377 14989 16142 19257 23842 24213 26754 29978 35763 38514 44933 44967 48426 56497 71526 83447 89866 89934 104923 112994 134799 151043 166894 169491 209846 250341 269598 302086 314769 338982 395479 453129 500682 584129 629538 734461 790958 906258 1057301 1168258 1186437 1468922 1752387 1963559 2114602 2203383 2372874 3171903 3504774 3927118 4406766 5141227 5890677 6343806 7401107 10282454 11781354 13744913 14802214 15423681 22203321 27489826 30847362 41234739 44406642 51807749 82469478 96214391 103615498 155423247 192428782 288643173 310846494 577286346 673500737 1347001474 2020502211 4041004422