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4013040304 = 2471312312239
BaseRepresentation
bin1110111100110010…
…0010001010110000
3101100200020120101101
43233030202022300
531204314242204
61502113214144
7201306164650
oct35714421260
911320216341
104013040304
11177a290639
1293bb61354
134bc539080
142a0d8a360
1518749dea4
hexef3222b0

4013040304 has 80 divisors (see below), whose sum is σ = 9581608960. Its totient is φ = 1585578240.

The previous prime is 4013040287. The next prime is 4013040307. The reversal of 4013040304 is 4030403104.

It is a super-2 number, since 2×40130403042 = 32208984963056824832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013040307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791217 + ... + 1793455.

It is an arithmetic number, because the mean of its divisors is an integer number (119770112).

Almost surely, 24013040304 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 4013040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790804480).

4013040304 is an abundant number, since it is smaller than the sum of its proper divisors (5568568656).

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

4013040304 is a wasteful number, since it uses less digits than its factorization.

4013040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4013040304 is about 63348.5619726289. The cubic root of 4013040304 is about 1589.1241968188.

Adding to 4013040304 its reverse (4030403104), we get a palindrome (8043443408).

The spelling of 4013040304 in words is "four billion, thirteen million, forty thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1231 1456 2239 2462 4478 4924 8617 8956 9848 15673 16003 17234 17912 19696 29107 31346 32006 34468 35824 58214 62692 64012 68936 112021 116428 125384 128024 137872 203749 224042 232856 250768 256048 407498 448084 465712 814996 896168 1629992 1792336 2756209 3259984 5512418 11024836 19293463 22049672 35830717 38586926 44099344 71661434 77173852 143322868 154347704 250815019 286645736 308695408 501630038 573291472 1003260076 2006520152 4013040304