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304453211102442 = 233191512803701089
BaseRepresentation
bin100010100111001100000100…
…1011111111001110011101010
31110220222102221202021201212000
41011032120021133321303222
5304401130134020234232
62555303512505031430
7121062006250340523
oct10516301137716352
91426872852251760
10304453211102442
118900a977652306
122a1910a4485576
13100b5a789366cc
145527884d0384a
15252e7d794a27c
hex114e6097f9cea

304453211102442 has 128 divisors (see below), whose sum is σ = 717144400128000. Its totient is φ = 95472200793600.

The previous prime is 304453211102389. The next prime is 304453211102471. The reversal of 304453211102442 is 244201112354403.

304453211102442 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 532 + 1 + 110 + 2 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×3044532111024422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304453211102397 and 304453211102406.

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, 433907034 + ... + 434608122.

It is an arithmetic number, because the mean of its divisors is an integer number (5602690626000).

Almost surely, 2304453211102442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304453211102442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358572200064000).

304453211102442 is an abundant number, since it is smaller than the sum of its proper divisors (412691189025558).

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

304453211102442 is a wasteful number, since it uses less digits than its factorization.

304453211102442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704073 (or 704067 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 304453211102442 its reverse (244201112354403), we get a palindrome (548654323456845).

The spelling of 304453211102442 in words is "three hundred four trillion, four hundred fifty-three billion, two hundred eleven million, one hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 151 171 302 342 453 513 906 1026 1359 2718 2803 2869 4077 5606 5738 8154 8409 8607 16818 17214 25227 25821 50454 51642 53257 75681 77463 106514 151362 154926 159771 319542 423253 479313 701089 846506 958626 1269759 1402178 1437939 2103267 2539518 2875878 3809277 4206534 6309801 7618554 8041807 11427831 12619602 13320691 16083614 18929403 22855662 24125421 26641382 37858806 39962073 48250842 72376263 79924146 105864439 119886219 144752526 211728878 217128789 239772438 317593317 359658657 434257578 635186634 719317314 952779951 1905559902 1965152467 2011424341 2858339853 3930304934 4022848682 5716679706 5895457401 6034273023 11790914802 12068546046 17686372203 18102819069 35372744406 36205638138 37337896873 53059116609 54308457207 74675793746 106118233218 108616914414 112013690619 224027381238 296738022517 336041071857 593476045034 672082143714 890214067551 1008123215571 1780428135102 2016246431142 2670642202653 5341284405306 5638022427823 8011926607959 11276044855646 16023853215918 16914067283469 33828134566938 50742201850407 101484403700814 152226605551221 304453211102442