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14331323340 = 22325175698231
BaseRepresentation
bin11010101100011011…
…01010001111001100
31100222202220122202100
431112031222033030
5213322304321330
610330025555100
71015100144535
oct152615521714
940882818670
1014331323340
116094727384
12293b645a90
1314751560a9
1499d4c168c
1558d27d060
hex35636a3cc

14331323340 has 144 divisors (see below), whose sum is σ = 46115334720. Its totient is φ = 3590123520.

The previous prime is 14331323339. The next prime is 14331323387. The reversal of 14331323340 is 4332313341.

14331323340 is a `hidden beast` number, since 1 + 4 + 3 + 313 + 2 + 3 + 340 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737025 + ... + 1745255.

It is an arithmetic number, because the mean of its divisors is an integer number (320245380).

Almost surely, 214331323340 is an apocalyptic number.

14331323340 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 14331323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057667360).

14331323340 is an abundant number, since it is smaller than the sum of its proper divisors (31784011380).

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

14331323340 is a wasteful number, since it uses less digits than its factorization.

14331323340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 14331323340 its reverse (4332313341), we get a palindrome (18663636681).

Subtracting from 14331323340 its reverse (4332313341), we obtain a palindrome (9999009999).

The spelling of 14331323340 in words is "fourteen billion, three hundred thirty-one million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 569 612 765 1020 1138 1530 1707 2276 2845 3060 3414 5121 5690 6828 8231 8535 9673 10242 11380 16462 17070 19346 20484 24693 25605 29019 32924 34140 38692 41155 48365 49386 51210 58038 74079 82310 87057 96730 98772 102420 116076 123465 139927 145095 148158 164620 174114 193460 246930 279854 290190 296316 348228 370395 419781 435285 493860 559708 580380 699635 740790 839562 870570 1259343 1399270 1481580 1679124 1741140 2098905 2518686 2798540 4197810 4683439 5037372 6296715 8395620 9366878 12593430 14050317 18733756 23417195 25186860 28100634 42150951 46834390 56201268 70251585 79618463 84301902 93668780 140503170 159236926 168603804 210754755 238855389 281006340 318473852 398092315 421509510 477710778 716566167 796184630 843019020 955421556 1194276945 1433132334 1592369260 2388553890 2866264668 3582830835 4777107780 7165661670 14331323340