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14103234324140 = 22513307748923593
BaseRepresentation
bin1100110100111010101001…
…0001011010011010101100
31211221020220122111222122012
43031032222101122122230
53322031410441333030
645554534132540352
72653632202544363
oct315165221323254
954836818458565
1014103234324140
11454816a118345
1216b93747816b8
137b3c1085c450
1436a858c907da
15196cce066095
hexcd3aa45a6ac

14103234324140 has 96 divisors (see below), whose sum is σ = 32004528642240. Its totient is φ = 5189472976896.

The previous prime is 14103234324131. The next prime is 14103234324143. The reversal of 14103234324140 is 4142343230141.

14103234324140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14103234324097 and 14103234324106.

It is not an unprimeable number, because it can be changed into a prime (14103234324143) 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, 597760184 + ... + 597783776.

It is an arithmetic number, because the mean of its divisors is an integer number (333380506690).

Almost surely, 214103234324140 is an apocalyptic number.

14103234324140 is a gapful number since it is divisible by the number (10) 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 14103234324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002264321120).

14103234324140 is an abundant number, since it is smaller than the sum of its proper divisors (17901294318100).

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

14103234324140 is a wasteful number, since it uses less digits than its factorization.

14103234324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31411 (or 31409 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14103234324140 its reverse (4142343230141), we get a palindrome (18245577554281).

The spelling of 14103234324140 in words is "fourteen trillion, one hundred three billion, two hundred thirty-four million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 614 1228 1535 3070 3991 6140 7489 7982 14978 15964 19955 23593 29956 37445 39910 47186 74890 79820 94372 97357 117965 149780 194714 235930 306709 389428 471860 486785 613418 973570 1226836 1533545 1947140 2299123 3067090 4598246 6134180 7243051 9196492 11495615 14486102 22991230 28972204 29888599 36215255 45982460 59777198 72430510 94159663 119554396 144861020 149442995 176687977 188319326 298885990 353375954 376638652 470798315 597771980 706751908 883439885 941596630 1766879770 1883193260 2296943701 3533759540 4593887402 9187774804 11484718505 22969437010 45938874020 54243208939 108486417878 216972835756 271216044695 542432089390 705161716207 1084864178780 1410323432414 2820646864828 3525808581035 7051617162070 14103234324140