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14206516066540 = 22571731291945403
BaseRepresentation
bin1100111010111011011001…
…0101111111100011101100
31212022010111112100010010201
43032232312111333203230
53330224421103112130
650114214451043244
72664246466064110
oct316566625774354
955263445303121
1014206516066540
114587a49a58046
1217153995a0524
137c089022aba5
14371855ad7740
15199826448bca
hexcebb657f8ec

14206516066540 has 96 divisors (see below), whose sum is σ = 34296132971520. Its totient is φ = 4842169065216.

The previous prime is 14206516066529. The next prime is 14206516066559. The reversal of 14206516066540 is 4566061560241.

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, 312875479 + ... + 312920881.

It is an arithmetic number, because the mean of its divisors is an integer number (357251385120).

Almost surely, 214206516066540 is an apocalyptic number.

14206516066540 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 14206516066540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17148066485760).

14206516066540 is an abundant number, since it is smaller than the sum of its proper divisors (20089616904980).

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

14206516066540 is a wasteful number, since it uses less digits than its factorization.

14206516066540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58511 (or 58509 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 14206516066540 in words is "fourteen trillion, two hundred six billion, five hundred sixteen million, sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 12919 24220 25838 45403 51676 64595 90433 90806 129190 180866 181612 227015 258380 317821 361732 452165 454030 635642 904330 908060 1271284 1589105 1808660 2234987 3178210 4469974 6356420 7854719 8939948 11174935 15644909 15709438 22349870 31289818 31418876 39273595 44699740 54983033 62579636 78224545 78547190 109966066 156449090 157094380 219932132 274915165 312898180 549830330 586561357 1099660660 1173122714 2346245428 2932806785 4105929499 5865613570 8211858998 11731227140 16423717996 20529647495 41059294990 82118589980 101475114761 202950229522 405900459044 507375573805 710325803327 1014751147610 1420651606654 2029502295220 2841303213308 3551629016635 7103258033270 14206516066540