Search a number
-
+
4224412243100 = 2252719997301789
BaseRepresentation
bin111101011110010010100…
…101110101010010011100
3112221211221112220211100102
4331132102211311102130
51023203044013234400
612552400155120232
7614126605413410
oct75362245652234
915854845824312
104224412243100
111389621643395
12582877143078
1324848b95106a
141086696cad40
1574d477019d5
hex3d79297549c

4224412243100 has 72 divisors (see below), whose sum is σ = 10477100985120. Its totient is φ = 1448292683520.

The previous prime is 4224412243061. The next prime is 4224412243133. The reversal of 4224412243100 is 13422144224.

It is a happy number.

It is a super-2 number, since 2×42244122431002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13847006 + ... + 14148794.

It is an arithmetic number, because the mean of its divisors is an integer number (145515291460).

Almost surely, 24224412243100 is an apocalyptic number.

It is an amenable number.

4224412243100 is an abundant number, since it is smaller than the sum of its proper divisors (6252688742020).

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

4224412243100 is a wasteful number, since it uses less digits than its factorization.

4224412243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321807 (or 321800 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4224412243100 its reverse (13422144224), we get a palindrome (4237834387324).

The spelling of 4224412243100 in words is "four trillion, two hundred twenty-four billion, four hundred twelve million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 19997 39994 79988 99985 139979 199970 279958 301789 399940 499925 559916 603578 699895 999850 1207156 1399790 1508945 1999700 2112523 2799580 3017890 3499475 4225046 6035780 6998950 7544725 8450092 10562615 13997900 15089450 21125230 30178900 42250460 52813075 105626150 211252300 6034874633 12069749266 24139498532 30174373165 42244122431 60348746330 84488244862 120697492660 150871865825 168976489724 211220612155 301743731650 422441224310 603487463300 844882448620 1056103060775 2112206121550 4224412243100