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814342393220 = 2252913714716967
BaseRepresentation
bin10111101100110101001…
…01101100110110000100
32212211221220212210202112
423312122211230312010
5101320233123040340
61422034223400152
7112556110063346
oct13663245546604
92784856783675
10814342393220
112943a7062034
121119a9753058
135ba3b4aa295
142b5b30c9296
15162b250a065
hexbd9a96cd84

814342393220 has 96 divisors (see below), whose sum is σ = 1783469076480. Its totient is φ = 311951969280.

The previous prime is 814342393219. The next prime is 814342393247. The reversal of 814342393220 is 22393243418.

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, 116882177 + ... + 116889143.

It is an arithmetic number, because the mean of its divisors is an integer number (18577802880).

Almost surely, 2814342393220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814342393220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891734538240).

814342393220 is an abundant number, since it is smaller than the sum of its proper divisors (969126683260).

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

814342393220 is a wasteful number, since it uses less digits than its factorization.

814342393220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8611 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 814342393220 in words is "eight hundred fourteen billion, three hundred forty-two million, three hundred ninety-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 548 580 685 1370 1471 2740 2942 3973 5884 6967 7355 7946 13934 14710 15892 19865 27868 29420 34835 39730 42659 69670 79460 85318 139340 170636 201527 202043 213295 403054 404086 426590 806108 808172 853180 954479 1007635 1010215 1908958 2015270 2020430 3817916 4030540 4040860 4772395 5844283 9544790 10248457 11688566 19089580 20496914 23377132 27679891 29221415 40993828 51242285 55359782 58442830 102484570 110719564 116885660 138399455 204969140 276798910 297205253 553597820 594410506 1188821012 1404038609 1486026265 2808077218 2972052530 5616154436 5944105060 7020193045 14040386090 28080772180 40717119661 81434239322 162868478644 203585598305 407171196610 814342393220