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318880068444 = 223273595716173
BaseRepresentation
bin1001010001111101011…
…10111011001101011100
31010111002022002212201100
410220332232323031130
520211031244142234
6402254054313100
732016100600560
oct4507656731534
91114068085640
10318880068444
11113266538153
1251974358790
13240bb497642
14116107bb6a0
158464e58399
hex4a3ebbb35c

318880068444 has 144 divisors (see below), whose sum is σ = 925542858240. Its totient is φ = 90680999040.

The previous prime is 318880068439. The next prime is 318880068509. The reversal of 318880068444 is 444860088813.

It is a super-2 number, since 2×3188800684442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51654142 + ... + 51660314.

It is an arithmetic number, because the mean of its divisors is an integer number (6427380960).

Almost surely, 2318880068444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318880068444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462771429120).

318880068444 is an abundant number, since it is smaller than the sum of its proper divisors (606662789796).

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

318880068444 is a wasteful number, since it uses less digits than its factorization.

318880068444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 318880068444 in words is "three hundred eighteen billion, eight hundred eighty million, sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 359 571 718 1077 1142 1436 1713 2154 2284 2513 3231 3426 3997 4308 5026 5139 6173 6462 6852 7539 7994 10052 10278 11991 12346 12924 15078 15988 18519 20556 22617 23982 24692 30156 35973 37038 43211 45234 47964 55557 71946 74076 86422 90468 111114 129633 143892 172844 204989 222228 259266 388899 409978 518532 614967 777798 819956 1229934 1434923 1555596 1844901 2216107 2459868 2869846 3524783 3689802 4304769 4432214 5739692 6648321 7049566 7379604 8609538 8864428 10574349 12914307 13296642 14099132 15512749 17219076 19944963 21148698 24673481 25828614 26593284 31025498 31723047 39889926 42297396 46538247 49346962 51657228 62050996 63446094 74020443 79779852 93076494 98693924 126892188 139614741 148040886 186152988 222061329 279229482 296081772 444122658 558458964 888245316 1265397097 2530794194 3796191291 5061588388 7592382582 8857779679 11388573873 15184765164 17715559358 22777147746 26573339037 35431118716 45554295492 53146678074 79720017111 106293356148 159440034222 318880068444