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442105142205 = 35194359611449
BaseRepresentation
bin1100110111011111000…
…01010001101110111101
31120021011001211012201010
412123233201101232331
524220412404022310
6535033355305433
743640530463436
oct6335741215675
91507131735633
10442105142205
1116054a910991
127182414b279
13328c888c17c
141758019848d
15b778111320
hex66ef851bbd

442105142205 has 64 divisors (see below), whose sum is σ = 774829440000. Its totient is φ = 214486175232.

The previous prime is 442105142203. The next prime is 442105142351. The reversal of 442105142205 is 502241501244.

It is not a de Polignac number, because 442105142205 - 21 = 442105142203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442105142201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417321 + ... + 1028769.

It is an arithmetic number, because the mean of its divisors is an integer number (12106710000).

Almost surely, 2442105142205 is an apocalyptic number.

It is an amenable number.

442105142205 is a deficient number, since it is larger than the sum of its proper divisors (332724297795).

442105142205 is a wasteful number, since it uses less digits than its factorization.

442105142205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611578.

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 442105142205 its reverse (502241501244), we get a palindrome (944346643449).

The spelling of 442105142205 in words is "four hundred forty-two billion, one hundred five million, one hundred forty-two thousand, two hundred five".

Divisors: 1 3 5 15 19 43 57 59 95 129 177 215 285 295 645 817 885 1121 2451 2537 3363 4085 5605 7611 12255 12685 16815 38055 48203 144609 241015 611449 723045 1834347 3057245 9171735 11617531 26292307 34852593 36075491 58087655 78876921 108226473 131461535 174262965 180377455 394384605 499553833 541132365 685434329 1498661499 1551246113 2056302987 2497769165 3427171645 4653738339 7493307495 7756230565 10281514935 23268691695 29473676147 88421028441 147368380735 442105142205