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442203440204240 = 245111391411422861
BaseRepresentation
bin110010010001011101000001…
…0111110001100100111010000
32010222201020101001200010221122
41210202322002332030213100
5430430030121143013430
64204253242253541412
7162100100323504211
oct14442720276144720
92128636331603848
10442203440204240
11118999475859050
1241719ba54a4868
1315c987b432a350
147b2aa91529408
15361cad62e6ee5
hex1922e82f8c9d0

442203440204240 has 160 divisors (see below), whose sum is σ = 1207880851427712. Its totient is φ = 148429949184000.

The previous prime is 442203440204213. The next prime is 442203440204249. The reversal of 442203440204240 is 42402044302244.

It is a super-2 number, since 2×4422034402042402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442203440204240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442203440204249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045530410 + ... + 1045953270.

Almost surely, 2442203440204240 is an apocalyptic number.

442203440204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442203440204240 is an abundant number, since it is smaller than the sum of its proper divisors (765677411223472).

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

442203440204240 is a wasteful number, since it uses less digits than its factorization.

442203440204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514309 (or 514303 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

Adding to 442203440204240 its reverse (42402044302244), we get a palindrome (484605484506484).

The spelling of 442203440204240 in words is "four hundred forty-two trillion, two hundred three billion, four hundred forty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 91411 182822 365644 422861 457055 731288 845722 914110 1005521 1188343 1462576 1691444 1828220 2011042 2114305 2376686 3382888 3656440 4022084 4228610 4651471 4753372 5027605 5497193 5941715 6765776 7312880 8044168 8457220 9302942 9506744 10055210 10994386 11883430 13071773 16088336 16914440 18605884 19013488 20110420 21988772 23257355 23766860 26143546 27485965 33828880 37211768 40220840 43977544 46514710 47533720 52287092 54971930 60469123 65358865 74423536 80441680 87955088 93029420 95067440 104574184 109943860 120938246 130717730 186058840 209148368 219887720 241876492 261435460 302345615 372117680 439775440 483752984 522870920 604691230 967505968 1045741840 1209382460 2418764920 4837529840 38654146871 77308293742 154616587484 193270734355 309233174968 386541468710 425195615581 502503909323 618466349936 773082937420 850391231162 1005007818646 1546165874840 1700782462324 2010015637292 2125978077905 2512519546615 3092331749680 3401564924648 4020031274584 4251956155810 5025039093230 5527543002553 6803129849296 8040062549168 8503912311620 10050078186460 11055086005106 17007824623240 20100156372920 22110172010212 27637715012765 34015649246480 40200312745840 44220344020424 55275430025530 88440688040848 110550860051060 221101720102120 442203440204240