Search a number
-
+
442220004204 = 2231131631059169
BaseRepresentation
bin1100110111101100101…
…11011100001101101100
31120021110001221210202020
412123312113130031230
524221131310113304
6535053021230140
743643424005166
oct6336627341554
91507401853666
10442220004204
111605a9733460
1271856702350
1332916607554
1417591537936
15b78324e5d9
hex66f65dc36c

442220004204 has 48 divisors (see below), whose sum is σ = 1126007863680. Its totient is φ = 133963568640.

The previous prime is 442220004137. The next prime is 442220004217. The reversal of 442220004204 is 402400022244.

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 15 ways as a sum of consecutive naturals, for example, 112069 + ... + 947100.

It is an arithmetic number, because the mean of its divisors is an integer number (23458497160).

Almost surely, 2442220004204 is an apocalyptic number.

442220004204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442220004204 is an abundant number, since it is smaller than the sum of its proper divisors (683787859476).

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

442220004204 is a wasteful number, since it uses less digits than its factorization.

442220004204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062350 (or 1062348 counting only the distinct ones).

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

Adding to 442220004204 its reverse (402400022244), we get a palindrome (844620026448).

The spelling of 442220004204 in words is "four hundred forty-two billion, two hundred twenty million, four thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3163 6326 9489 12652 18978 34793 37956 69586 104379 139172 208758 417516 1059169 2118338 3177507 4236676 6355014 11650859 12710028 23301718 34952577 46603436 69905154 139810308 3350151547 6700303094 10050454641 13400606188 20100909282 36851667017 40201818564 73703334034 110555001051 147406668068 221110002102 442220004204