Search a number
-
+
3301224242274 = 23271277173311839
BaseRepresentation
bin110000000010100000010…
…011000101110001100010
3102200121000222211020212200
4300002200103011301202
5413041401401223044
611004321140234030
7460335262033050
oct60024023056142
912617028736780
103301224242274
111063050027352
1245397139b916
131ac3c519030a
14b5acc8791d0
155ad1462b369
hex300a04c5c62

3301224242274 has 96 divisors (see below), whose sum is σ = 8186273372160. Its totient is φ = 941844917376.

The previous prime is 3301224242273. The next prime is 3301224242311. The reversal of 3301224242274 is 4722424221033.

3301224242274 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 2 + 424 + 227 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3301224242273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278837247 + ... + 278849085.

It is an arithmetic number, because the mean of its divisors is an integer number (85273680960).

Almost surely, 23301224242274 is an apocalyptic number.

3301224242274 is an abundant number, since it is smaller than the sum of its proper divisors (4885049129886).

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

3301224242274 is a wasteful number, since it uses less digits than its factorization.

3301224242274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14864 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 3301224242274 in words is "three trillion, three hundred one billion, two hundred twenty-four million, two hundred forty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1277 1733 2554 3466 3831 5199 7662 8939 10398 11493 11839 12131 15597 17878 22986 23678 24262 26817 31194 35517 36393 53634 71034 72786 80451 82873 106551 109179 160902 165746 213102 218358 248619 497238 745857 1491714 2213041 4426082 6639123 13278246 15118403 15491287 19917369 20516987 30236806 30982574 39834738 41033974 45355209 46473861 61550961 90710418 92947722 105828821 123101922 136065627 139421583 143618909 184652883 211657642 272131254 278843166 287237818 317486463 369305766 430856727 634972926 861713454 952459389 1292570181 1904918778 2585140362 26200192399 52400384798 78600577197 157201154394 183401346793 235801731591 366802693586 471603463182 550204040379 1100408080758 1650612121137 3301224242274