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314204341143344 = 244313724671135119
BaseRepresentation
bin100011101110001000110011…
…0001001000000011100110000
31112012111122022202210011020212
41013130101212021000130300
5312140410442313041334
63032131252011123252
7123116341324200221
oct10734214611003460
91465448282704225
10314204341143344
119112a349315583
122b2a6aa6143528
131064245ab714b2
1457837dd73d248
15264d298d90ece
hex11dc466240730

314204341143344 has 80 divisors (see below), whose sum is σ = 627505374228480. Its totient is φ = 152321266997760.

The previous prime is 314204341143323. The next prime is 314204341143347. The reversal of 314204341143344 is 443341143402413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314204341143347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325322217 + ... + 2325457335.

It is an arithmetic number, because the mean of its divisors is an integer number (7843817177856).

Almost surely, 2314204341143344 is an apocalyptic number.

It is an amenable number.

314204341143344 is a deficient number, since it is larger than the sum of its proper divisors (313301033085136).

314204341143344 is a wasteful number, since it uses less digits than its factorization.

314204341143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159978 (or 159972 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 41.

Adding to 314204341143344 its reverse (443341143402413), we get a palindrome (757545484545757).

The spelling of 314204341143344 in words is "three hundred fourteen trillion, two hundred four billion, three hundred forty-one million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 43 86 137 172 274 344 548 688 1096 2192 5891 11782 23564 24671 47128 49342 94256 98684 135119 197368 270238 394736 540476 1060853 1080952 2121706 2161904 3379927 4243412 5810117 6759854 8486824 11620234 13519708 16973648 18511303 23240468 27039416 37022606 46480936 54078832 74045212 92961872 145336861 148090424 290673722 296180848 581347444 795986029 1162694888 1591972058 2325389776 3183944116 3333520849 6367888232 6667041698 12735776464 13334083396 26668166792 53336333584 143341396507 286682793014 456692356313 573365586028 913384712626 1146731172056 1826769425252 2293462344112 3653538850504 7307077701008 19637771321459 39275542642918 78551085285836 157102170571672 314204341143344