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14259885660 = 22325714192663
BaseRepresentation
bin11010100011111010…
…01001011001011100
31100210210111020200100
431101331021121130
5213201012320120
610314554501100
71013242012446
oct152175113134
940723436610
1014259885660
116058374179
12291b734790
131463403087
14993c07496
15586d6b490
hex351f4965c

14259885660 has 144 divisors (see below), whose sum is σ = 43985410560. Its totient is φ = 3738725760.

The previous prime is 14259885559. The next prime is 14259885677. The reversal of 14259885660 is 6658895241.

14259885660 is a `hidden beast` number, since 1 + 42 + 598 + 8 + 5 + 6 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14259885597 and 14259885606.

It is a congruent number.

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, 5353489 + ... + 5356151.

It is an arithmetic number, because the mean of its divisors is an integer number (305454240).

Almost surely, 214259885660 is an apocalyptic number.

14259885660 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 14259885660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992705280).

14259885660 is an abundant number, since it is smaller than the sum of its proper divisors (29725524900).

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

14259885660 is a wasteful number, since it uses less digits than its factorization.

14259885660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 14259885660 in words is "fourteen billion, two hundred fifty-nine million, eight hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 419 426 639 710 838 852 1065 1257 1278 1420 1676 2095 2130 2514 2556 2663 3195 3771 4190 4260 5028 5326 6285 6390 7542 7989 8380 10652 12570 12780 13315 15084 15978 18855 23967 25140 26630 29749 31956 37710 39945 47934 53260 59498 75420 79890 89247 95868 118996 119835 148745 159780 178494 189073 239670 267741 297490 356988 378146 446235 479340 535482 567219 594980 756292 892470 945365 1070964 1115797 1134438 1338705 1701657 1784940 1890730 2231594 2268876 2677410 2836095 3347391 3403314 3781460 4463188 5354820 5578985 5672190 6694782 6806628 8508285 10042173 11157970 11344380 13389564 16736955 17016570 20084346 22315940 33473910 34033140 40168692 50210865 66947820 79221587 100421730 158443174 200843460 237664761 316886348 396107935 475329522 712994283 792215870 950659044 1188323805 1425988566 1584431740 2376647610 2851977132 3564971415 4753295220 7129942830 14259885660