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442304024112 = 243223353378317
BaseRepresentation
bin1100110111110110101…
…11111100111000110000
31120021122221001110101200
412123323113330320300
524221314312232422
6535105222131200
743645464113166
oct6337327747060
91507587043350
10442304024112
111606420aa8a5
127187a880b00
133292ab44582
141759c769236
15b78a7e92ac
hex66fb5fce30

442304024112 has 120 divisors (see below), whose sum is σ = 1295318460384. Its totient is φ = 140624596992.

The previous prime is 442304024069. The next prime is 442304024117. The reversal of 442304024112 is 211420403244.

It is not an unprimeable number, because it can be changed into a prime (442304024117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979978 + ... + 1358294.

Almost surely, 2442304024112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442304024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647659230192).

442304024112 is an abundant number, since it is smaller than the sum of its proper divisors (853014436272).

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

442304024112 is a wasteful number, since it uses less digits than its factorization.

442304024112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378707 (or 378698 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442304024112 its reverse (211420403244), we get a palindrome (653724427356).

The spelling of 442304024112 in words is "four hundred forty-two billion, three hundred four million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 353 368 414 552 706 828 1059 1104 1412 1656 2118 2824 3177 3312 4236 5648 6354 8119 8472 12708 16238 16944 24357 25416 32476 48714 50832 64952 73071 97428 129904 146142 194856 292284 378317 389712 584568 756634 1134951 1169136 1513268 2269902 3026536 3404853 4539804 6053072 6809706 8701291 9079608 13619412 17402582 18159216 26103873 27238824 34805164 52207746 54477648 69610328 78311619 104415492 133545901 139220656 156623238 208830984 267091802 313246476 400637703 417661968 534183604 626492952 801275406 1068367208 1201913109 1252985904 1602550812 2136734416 2403826218 3071555723 3205101624 4807652436 6143111446 6410203248 9214667169 9615304872 12286222892 18429334338 19230609744 24572445784 27644001507 36858668676 49144891568 55288003014 73717337352 110576006028 147434674704 221152012056 442304024112