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242443120420 = 225311136075701
BaseRepresentation
bin1110000111001010111…
…1000110111100100100
3212011210021111121011101
43201302233012330210
512433010414323140
6303213221245444
723341652343604
oct3416257067444
9764707447141
10242443120420
1193901903826
123aba1863884
1319b295a7307
14ba3cd34c04
15648e69d99a
hex3872bc6f24

242443120420 has 96 divisors (see below), whose sum is σ = 531171680256. Its totient is φ = 92848896000.

The previous prime is 242443120411. The next prime is 242443120421. The reversal of 242443120420 is 24021344242.

It is not an unprimeable number, because it can be changed into a prime (242443120421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42523570 + ... + 42529270.

It is an arithmetic number, because the mean of its divisors is an integer number (5533038336).

Almost surely, 2242443120420 is an apocalyptic number.

242443120420 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 242443120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265585840128).

242443120420 is an abundant number, since it is smaller than the sum of its proper divisors (288728559836).

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

242443120420 is a wasteful number, since it uses less digits than its factorization.

242443120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242443120420 its reverse (24021344242), we get a palindrome (266464464662).

The spelling of 242443120420 in words is "two hundred forty-two billion, four hundred forty-three million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 113 124 155 226 310 452 565 607 620 1130 1214 2260 2428 3035 3503 5701 6070 7006 11402 12140 14012 17515 18817 22804 28505 35030 37634 57010 68591 70060 75268 94085 114020 137182 176731 188170 274364 342955 353462 376340 644213 685910 706924 883655 1288426 1371820 1767310 2126321 2576852 3221065 3460507 3534620 4252642 6442130 6921014 8505284 10631605 12884260 13842028 17302535 19970603 21263210 34605070 39941206 42526420 69210140 79882412 99853015 107275717 199706030 214551434 391037291 399412060 429102868 536378585 782074582 1072757170 1564149164 1955186455 2145514340 3910372910 7820745820 12122156021 24244312042 48488624084 60610780105 121221560210 242443120420