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4042222404 = 22311471016451
BaseRepresentation
bin1111000011101111…
…0110101101000100
3101102201011011200220
43300323312231010
531234302104104
61505034504340
7202112215653
oct36073665504
911381134626
104042222404
111794802580
129498950b0
134c55b599c
142a4bc519a
15189d157d9
hexf0ef6b44

4042222404 has 96 divisors (see below), whose sum is σ = 10613901312. Its totient is φ = 1186800000.

The previous prime is 4042222403. The next prime is 4042222417.

4042222404 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4042222403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623379 + ... + 629829.

It is an arithmetic number, because the mean of its divisors is an integer number (110561472).

Almost surely, 24042222404 is an apocalyptic number.

4042222404 is a gapful number since it is divisible by the number (44) 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 4042222404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306950656).

4042222404 is an abundant number, since it is smaller than the sum of its proper divisors (6571678908).

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

4042222404 is a wasteful number, since it uses less digits than its factorization.

4042222404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4042222404 is about 63578.4743761597. The cubic root of 4042222404 is about 1592.9668383012.

It can be divided in two parts, 40422 and 22404, that added together give a palindrome (62826).

The spelling of 4042222404 in words is "four billion, forty-two million, two hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 101 132 141 188 202 282 303 404 517 564 606 1034 1111 1212 1551 2068 2222 3102 3333 4444 4747 6204 6451 6666 9494 12902 13332 14241 18988 19353 25804 28482 38706 52217 56964 70961 77412 104434 141922 156651 208868 212883 283844 303197 313302 425766 606394 626604 651551 851532 909591 1212788 1303102 1819182 1954653 2606204 3335167 3638364 3909306 6670334 7167061 7818612 10005501 13340668 14334122 20011002 21501183 28668244 30622897 40022004 43002366 61245794 86004732 91868691 122491588 183737382 336851867 367474764 673703734 1010555601 1347407468 2021111202 4042222404