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442443223102314 = 237103151719942031
BaseRepresentation
bin110010010011001100101011…
…1001001010111001101101010
32011000120011021221111110002110
41210212121113021113031222
5430442442210103233224
64204555335525343150
7162123316344505620
oct14446312711271552
92130504257443073
10442443223102314
11118a81131a74405
1241758564267ab6
1315cb52a87374a5
147b3851b023510
153623e6c16b929
hex192665725736a

442443223102314 has 128 divisors (see below), whose sum is σ = 1029310285086720. Its totient is φ = 124182916344000.

The previous prime is 442443223102289. The next prime is 442443223102337. The reversal of 442443223102314 is 413201322344244.

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, 469198479 + ... + 470140509.

It is an arithmetic number, because the mean of its divisors is an integer number (8041486602240).

Almost surely, 2442443223102314 is an apocalyptic number.

442443223102314 is an abundant number, since it is smaller than the sum of its proper divisors (586867061984406).

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

442443223102314 is a wasteful number, since it uses less digits than its factorization.

442443223102314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943016.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 442443223102314 its reverse (413201322344244), we get a palindrome (855644545446558).

The spelling of 442443223102314 in words is "four hundred forty-two trillion, four hundred forty-three billion, two hundred twenty-three million, one hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 103 151 206 302 309 453 618 719 721 906 1057 1438 1442 2114 2157 2163 3171 4314 4326 5033 6342 10066 15099 15553 30198 31106 46659 74057 93318 108569 108871 148114 217138 217742 222171 325707 326613 444342 518399 651414 653226 759983 942031 1036798 1519966 1555197 1884062 2279949 2826093 3110394 4559898 5652186 6594217 11182607 13188434 19782651 22365214 33547821 39565302 67095642 78278249 97029193 142246681 156556498 194058386 234834747 284493362 291087579 426740043 469669494 582175158 677320289 679204351 853480086 995726767 1354640578 1358408702 1991453534 2031960867 2037613053 2987180301 4063921734 4075226106 4741242023 5974360602 9482484046 14223726069 14651408143 28447452138 29302816286 43954224429 69763989767 87908448858 102275363639 102559857001 139527979534 204550727278 205119714002 209291969301 306826090917 307679571003 418583938602 488347928369 613652181834 615359142006 715927545473 976695856738 1431855090946 1465043785107 2147782636419 2930087570214 4295565272838 10534362454817 21068724909634 31603087364451 63206174728902 73740537183719 147481074367438 221221611551157 442443223102314