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14101140004 = 22731374110709
BaseRepresentation
bin11010010000111111…
…00101001000100100
31100101201210010120121
431020133211020210
5212334342440004
610251124211324
71006303466230
oct151037451044
940351703517
1014101140004
115a867a9216
122896539b44
131439561533
1497aac35c0
15577e60854
hex3487e5224

14101140004 has 96 divisors (see below), whose sum is σ = 30630942720. Its totient is φ = 5551027200.

The previous prime is 14101139953. The next prime is 14101140019. The reversal of 14101140004 is 40004110141.

It is a self number, because there is not a number n which added to its sum of digits gives 14101140004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311402 + ... + 1322110.

It is an arithmetic number, because the mean of its divisors is an integer number (319072320).

Almost surely, 214101140004 is an apocalyptic number.

14101140004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14101140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315471360).

14101140004 is an abundant number, since it is smaller than the sum of its proper divisors (16529802716).

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

14101140004 is a wasteful number, since it uses less digits than its factorization.

14101140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829 (or 10827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14101140004 its reverse (40004110141), we get a palindrome (54105250145).

The spelling of 14101140004 in words is "fourteen billion, one hundred one million, one hundred forty thousand, four".

Divisors: 1 2 4 7 14 28 31 37 41 62 74 82 124 148 164 217 259 287 434 518 574 868 1036 1147 1148 1271 1517 2294 2542 3034 4588 5084 6068 8029 8897 10619 10709 16058 17794 21238 21418 32116 35588 42476 42836 47027 74963 94054 149926 188108 299852 329189 331979 396233 439069 658378 663958 792466 878138 1316756 1327916 1584932 1756276 2323853 2773631 3073483 4647706 5547262 6146966 9295412 11094524 12283223 12293932 13611139 16245553 24566446 27222278 32491106 49132892 54444556 64982212 85982561 95277973 113718871 171965122 190555946 227437742 343930244 381111892 454875484 503612143 1007224286 2014448572 3525285001 7050570002 14101140004