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304324321432144 = 241321031999546613
BaseRepresentation
bin100010100110010000000011…
…1000100110101001001010000
31110220112010021012122002020111
41011030200013010311021100
5304342022202241312034
62555124355132051104
7121046464245251146
oct10514400704651120
91426463235562214
10304324321432144
1188a70246803332
122a170113603a94
13100a6877abb500
1455215390a5596
15252b29230d364
hex114c807135250

304324321432144 has 120 divisors (see below), whose sum is σ = 644995774176000. Its totient is φ = 139023879261696.

The previous prime is 304324321432097. The next prime is 304324321432169. The reversal of 304324321432144 is 441234123423403.

It is a happy number.

It is a super-2 number, since 2×3043243214321442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304324321432097 and 304324321432106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556472182 + ... + 557018794.

It is an arithmetic number, because the mean of its divisors is an integer number (5374964784800).

Almost surely, 2304324321432144 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 304324321432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322497887088000).

304324321432144 is an abundant number, since it is smaller than the sum of its proper divisors (340671452743856).

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

304324321432144 is a wasteful number, since it uses less digits than its factorization.

304324321432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548749 (or 548730 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 304324321432144 its reverse (441234123423403), we get a palindrome (745558444855547).

The spelling of 304324321432144 in words is "three hundred four trillion, three hundred twenty-four billion, three hundred twenty-one million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 169 206 208 338 412 676 824 1339 1352 1648 1999 2678 2704 3998 5356 7996 10712 15992 17407 21424 25987 31984 34814 51974 69628 103948 139256 205897 207896 278512 337831 411794 415792 546613 675662 823588 1093226 1351324 1647176 2186452 2676661 2702648 3294352 4372904 5353322 5405296 7105969 8745808 10706644 14211938 21413288 28423876 34796593 42826576 56301139 56847752 69593186 92377597 112602278 113695504 139186372 184755194 225204556 278372744 369510388 450409112 556745488 731914807 739020776 900818224 1092679387 1463829614 1478041552 2185358774 2927659228 4370717548 5855318456 8741435096 9514892491 11710636912 14204832031 17482870192 19029784982 28409664062 38059569964 56819328124 76119139928 112545976861 113638656248 152238279856 184662816403 225091953722 227277312496 369325632806 450183907444 738651265612 900367814888 1463097699193 1477302531224 1800735629776 2926195398386 2954605062448 5852390796772 11704781593544 19020270089509 23409563187088 38040540179018 76081080358036 152162160716072 304324321432144