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1324144323112 = 2313174499111831
BaseRepresentation
bin10011010001001101001…
…001101110101000101000
311200120211220011011000111
4103101031021232220220
5133143321421314422
62452145320144104
7164444350016062
oct23211511565050
94616756134014
101324144323112
11470625a4a536
12194765308034
1397b35285770
1448136032732
152469d923a77
hex1344d26ea28

1324144323112 has 128 divisors (see below), whose sum is σ = 2842003584000. Its totient is φ = 572969779200.

The previous prime is 1324144323097. The next prime is 1324144323113. The reversal of 1324144323112 is 2113234414231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1324144323113) 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, 723180037 + ... + 723181867.

It is an arithmetic number, because the mean of its divisors is an integer number (22203153000).

Almost surely, 21324144323112 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 1324144323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421001792000).

1324144323112 is an abundant number, since it is smaller than the sum of its proper divisors (1517859260888).

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

1324144323112 is a wasteful number, since it uses less digits than its factorization.

1324144323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3223 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

Adding to 1324144323112 its reverse (2113234414231), we get a palindrome (3437378737343).

The spelling of 1324144323112 in words is "one trillion, three hundred twenty-four billion, one hundred forty-four million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 449 884 898 911 1768 1796 1822 1831 3592 3644 3662 5837 7288 7324 7633 11674 11843 14648 15266 15487 23348 23686 23803 30532 30974 31127 46696 47372 47606 61064 61948 62254 94744 95212 99229 123896 124508 190424 198458 201331 249016 396916 402662 404651 409039 793832 805324 809302 818078 822119 1610648 1618604 1636156 1644238 1668041 3237208 3272312 3288476 3336082 5317507 6576952 6672164 6953663 10635014 10687547 13344328 13907326 13976023 21270028 21375094 21684533 27814652 27952046 28356697 42540056 42750188 43369066 55629304 55904092 56713394 85500376 86738132 90397619 111808184 113426788 173476264 180795238 181688299 226853576 361590476 363376598 368637061 723180952 726753196 737274122 748950409 1453506392 1474548244 1497900818 2949096488 2995801636 5991603272 9736355317 12732156953 19472710634 25464313906 38945421268 50928627812 77890842536 101857255624 165518040389 331036080778 662072161556 1324144323112