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243443230440 = 233523343325693
BaseRepresentation
bin1110001010111001011…
…0001110011011101000
3212021100222101110012020
43202232112032123220
512442032431333230
6303500345144440
723405515213344
oct3425626163350
9767328343166
10243443230440
11942753a2233
123b22078b120
1319c588525a7
14bad5ab0624
1564ec3a2810
hex38ae58e6e8

243443230440 has 128 divisors (see below), whose sum is σ = 762334813440. Its totient is φ = 62075160576.

The previous prime is 243443230439. The next prime is 243443230469. The reversal of 243443230440 is 44032344342.

243443230440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 9462234 + ... + 9487926.

It is an arithmetic number, because the mean of its divisors is an integer number (5955740730).

Almost surely, 2243443230440 is an apocalyptic number.

243443230440 is a gapful number since it is divisible by the number (20) 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 243443230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381167406720).

243443230440 is an abundant number, since it is smaller than the sum of its proper divisors (518891583000).

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

243443230440 is a wasteful number, since it uses less digits than its factorization.

243443230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29163 (or 29159 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 243443230440 its reverse (44032344342), we get a palindrome (287475574782).

The spelling of 243443230440 in words is "two hundred forty-three billion, four hundred forty-three million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 3433 6866 10299 13732 17165 20598 25693 27464 34330 41196 51386 51495 68660 77079 78959 82392 102772 102990 128465 137320 154158 157918 205544 205980 236877 256930 308316 315836 385395 394795 411960 473754 513860 590939 616632 631672 770790 789590 947508 1027720 1181878 1184385 1541580 1579180 1772817 1895016 2363756 2368770 2954695 3083160 3158360 3545634 4727512 4737540 5909390 7091268 8864085 9475080 11818780 14182536 17728170 23637560 35456340 70912680 88204069 176408138 264612207 352816276 441020345 529224414 705632552 882040690 1058448828 1323061035 1764081380 2028693587 2116897656 2646122070 3528162760 4057387174 5292244140 6086080761 8114774348 10143467935 10584488280 12172161522 16229548696 20286935870 24344323044 30430403805 40573871740 48688646088 60860807610 81147743480 121721615220 243443230440