Search a number
-
+
330444300221124 = 223194141984365627
BaseRepresentation
bin100101100100010011000111…
…1001000011111101011000100
31121100000011111102220010020120
41023020212033020133223010
5321302444411324033444
63130444003231101540
7126413545543555035
oct11310461710375304
91540004442803216
10330444300221124
119632070589a771
123108a39b6718b0
131124c9c110099b
145b858376d6a8c
1528309342e2b19
hex12c898f21fac4

330444300221124 has 96 divisors (see below), whose sum is σ = 833397419635200. Its totient is φ = 101562715203840.

The previous prime is 330444300221069. The next prime is 330444300221173. The reversal of 330444300221124 is 421122003444033.

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 31 ways as a sum of consecutive naturals, for example, 38266002 + ... + 46099625.

It is an arithmetic number, because the mean of its divisors is an integer number (8681223121200).

Almost surely, 2330444300221124 is an apocalyptic number.

It is an amenable number.

330444300221124 is an abundant number, since it is smaller than the sum of its proper divisors (502953119414076).

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

330444300221124 is a wasteful number, since it uses less digits than its factorization.

330444300221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84366113 (or 84366111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 330444300221124 its reverse (421122003444033), we get a palindrome (751566303665157).

The spelling of 330444300221124 in words is "three hundred thirty trillion, four hundred forty-four billion, three hundred million, two hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 419 492 779 838 1257 1558 1676 2337 2514 3116 4674 5028 7961 9348 15922 17179 23883 31844 34358 47766 51537 68716 95532 103074 206148 326401 652802 979203 1305604 1958406 3916812 84365627 168731254 253096881 337462508 506193762 1012387524 1602946913 3205893826 3458990707 4808840739 6411787652 6917981414 9617681478 10376972121 13835962828 19235362956 20753944242 35349197713 41507888484 65720823433 70698395426 106047593139 131441646866 141396790852 197162470299 212095186278 262883293732 394324940598 424190372556 671634756547 788649881196 1343269513094 1449317106233 2014904269641 2686539026188 2898634212466 4029808539282 4347951318699 5797268424932 8059617078564 8695902637398 17391805274796 27537025018427 55074050036854 82611075055281 110148100073708 165222150110562 330444300221124