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442421401014142 = 211294395938273221
BaseRepresentation
bin110010010011000010100001…
…0011100101100111101111110
32011000111001222010101111202121
41210212011002130230331332
5430442113012124423032
64204541330310313154
7162121614516020404
oct14446050234547576
92130431863344677
10442421401014142
11118a72953a745a0
12417542940587ba
1315cb320b707a94
147b3744ab55474
1536235e1482a97
hex192614272cf7e

442421401014142 has 128 divisors (see below), whose sum is σ = 753041220940800. Its totient is φ = 193103331993600.

The previous prime is 442421401014121. The next prime is 442421401014163. The reversal of 442421401014142 is 241410104124244.

It is an interprime number because it is at equal distance from previous prime (442421401014121) and next prime (442421401014163).

It is a super-3 number, since 3×4424214010141423 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442421401014098 and 442421401014107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137355292092 + ... + 137355295312.

It is an arithmetic number, because the mean of its divisors is an integer number (5883134538600).

Almost surely, 2442421401014142 is an apocalyptic number.

442421401014142 is a deficient number, since it is larger than the sum of its proper divisors (310619819926658).

442421401014142 is a wasteful number, since it uses less digits than its factorization.

442421401014142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122.

The product of its (nonzero) digits is 32768, while the sum is 34.

Adding to 442421401014142 its reverse (241410104124244), we get a palindrome (683831505138386).

The spelling of 442421401014142 in words is "four hundred forty-two trillion, four hundred twenty-one billion, four hundred one million, fourteen thousand, one hundred forty-two".

Divisors: 1 2 11 22 29 58 319 439 593 638 827 878 1186 1654 3221 4829 6442 6523 9097 9658 12731 13046 17197 18194 23983 25462 34394 35431 47966 70862 93409 140041 186818 189167 260327 263813 280082 363053 378334 490411 520654 527626 726106 980822 1027499 1414019 1910053 2054998 2663767 2828038 2863597 3820106 3993583 5327534 5394521 5727194 7549483 7987166 10528537 10789042 14221919 15098966 15554209 21010583 21057074 28443838 29301437 31108418 41006551 42021166 55391537 58602874 77249243 82013102 83044313 110783074 115813907 154498486 156441109 166088626 215290429 231627814 312882218 430580858 451072061 609306907 838513267 849741673 902144122 1169393713 1218613814 1579613831 1677026534 1699483346 2338787426 2368194719 3159227662 4736389438 6243422441 9223645937 12486844882 12863330843 17375752141 18447291874 24316884743 25726661686 33912417677 34751504282 45808801099 48633769486 67824835354 68677646851 91617602198 137355293702 267485732173 373036594447 503896812089 534971464346 693450471809 746073188894 1007793624178 1386900943618 7627955189899 15255910379798 20110063682461 40220127364922 221210700507071 442421401014142