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442080214212 = 2237213211274093
BaseRepresentation
bin1100110111011100000…
…10001011110011000100
31120021002022220201221010
412123232002023303010
524220340013323322
6535031105122220
743640105551200
oct6335602136304
91507068821833
10442080214212
1116053783513a
1271817929370
13328c3671990
141757ab49b00
15b775d3a20c
hex66ee08bcc4

442080214212 has 144 divisors (see below), whose sum is σ = 1298363543232. Its totient is φ = 116039589120.

The previous prime is 442080214187. The next prime is 442080214223. The reversal of 442080214212 is 212412080244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442080214212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475838 + ... + 1749930.

Almost surely, 2442080214212 is an apocalyptic number.

442080214212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442080214212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649181771616).

442080214212 is an abundant number, since it is smaller than the sum of its proper divisors (856283329020).

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

442080214212 is a wasteful number, since it uses less digits than its factorization.

442080214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274338 (or 274329 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 442080214212 its reverse (212412080244), we get a palindrome (654492294456).

The spelling of 442080214212 in words is "four hundred forty-two billion, eighty million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 211 273 294 364 422 546 588 633 637 844 1092 1266 1274 1477 1911 2532 2548 2743 2954 3822 4431 5486 5908 7644 8229 8862 10339 10972 16458 17724 19201 20678 31017 32916 38402 41356 57603 62034 76804 115206 124068 134407 230412 268814 274093 403221 537628 548186 806442 822279 1096372 1612884 1644558 1918651 3289116 3563209 3837302 5755953 7126418 7674604 10689627 11511906 13430557 14252836 21379254 23023812 24942463 26861114 40291671 42758508 49884926 53722228 57833623 74827389 80583342 99769852 115667246 149654778 161166684 173500869 174597241 231334492 299309556 347001738 349194482 404835361 523791723 694003476 698388964 751837099 809670722 1047583446 1214506083 1503674198 1619341444 2095166892 2255511297 2429012166 2833847527 3007348396 4511022594 4858024332 5262859693 5667695054 8501542581 9022045188 10525719386 11335390108 15788579079 17003085162 21051438772 31577158158 34006170324 36840017851 63154316316 73680035702 110520053553 147360071404 221040107106 442080214212