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42243314220 = 223258911532287
BaseRepresentation
bin100111010101111001…
…011101001000101100
311001001000020201002100
4213111321131020230
51143003242023340
631223432455100
73023554150332
oct472571351054
9131030221070
1042243314220
1116a08282238
12822b24a490
133ca2a6b123
14208a4c1b52
15117390c830
hex9d5e5d22c

42243314220 has 144 divisors (see below), whose sum is σ = 129746897280. Its totient is φ = 11123785728.

The previous prime is 42243314173. The next prime is 42243314221. The reversal of 42243314220 is 2241334224.

42243314220 is a `hidden beast` number, since 4 + 2 + 2 + 433 + 1 + 4 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (42243314221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18469917 + ... + 18472203.

It is an arithmetic number, because the mean of its divisors is an integer number (901020120).

Almost surely, 242243314220 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 42243314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64873448640).

42243314220 is an abundant number, since it is smaller than the sum of its proper divisors (87503583060).

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

42243314220 is a wasteful number, since it uses less digits than its factorization.

42243314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42243314220 its reverse (2241334224), we get a palindrome (44484648444).

The spelling of 42243314220 in words is "forty-two billion, two hundred forty-three million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1153 1335 1602 1780 2287 2306 2670 3204 3459 4005 4574 4612 5340 5765 6861 6918 8010 9148 10377 11435 11530 13722 13836 16020 17295 20583 20754 22870 23060 27444 34305 34590 41166 41508 45740 51885 68610 69180 82332 102617 102915 103770 137220 203543 205234 205830 207540 307851 407086 410468 411660 513085 610629 615702 814172 923553 1017715 1026170 1221258 1231404 1539255 1831887 1847106 2035430 2052340 2442516 2636911 3053145 3078510 3663774 3694212 4070860 4617765 5273822 6106290 6157020 7327548 7910733 9159435 9235530 10547644 12212580 13184555 15821466 18318870 18471060 23732199 26369110 31642932 36637740 39553665 47464398 52738220 79107330 94928796 118660995 158214660 234685079 237321990 469370158 474643980 704055237 938740316 1173425395 1408110474 2112165711 2346850790 2816220948 3520276185 4224331422 4693701580 7040552370 8448662844 10560828555 14081104740 21121657110 42243314220