Search a number
-
+
242414424120 = 233511909120201
BaseRepresentation
bin1110000111000100000…
…1101001000000111000
3212011201021111200020110
43201301001221000320
512432431043032440
6303210314224320
723341153415121
oct3416101510070
9764637450213
10242414424120
1193897693880
123ab941250a0
1319b2366a85b
14ba391c5048
15648bdd1080
hex3871069038

242414424120 has 128 divisors (see below), whose sum is σ = 793482842880. Its totient is φ = 58757760000.

The previous prime is 242414424107. The next prime is 242414424143. The reversal of 242414424120 is 21424414242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 11990020 + ... + 12010220.

It is an arithmetic number, because the mean of its divisors is an integer number (6199084710).

Almost surely, 2242414424120 is an apocalyptic number.

242414424120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242414424120 is an abundant number, since it is smaller than the sum of its proper divisors (551068418760).

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

242414424120 is a wasteful number, since it uses less digits than its factorization.

242414424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29317 (or 29313 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 242414424120 its reverse (21424414242), we get a palindrome (263838838362).

The spelling of 242414424120 in words is "two hundred forty-two billion, four hundred fourteen million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9091 18182 20201 27273 36364 40402 45455 54546 60603 72728 80804 90910 100001 101005 109092 121206 136365 161608 181820 200002 202010 218184 222211 242412 272730 300003 303015 363640 400004 404020 444422 484824 500005 545460 600006 606030 666633 800008 808040 888844 1000010 1090920 1111055 1200012 1212060 1333266 1500015 1777688 2000020 2222110 2400024 2424120 2666532 3000030 3333165 4000040 4444220 5333064 6000060 6666330 8888440 12000120 13332660 26665320 183647291 367294582 550941873 734589164 918236455 1101883746 1469178328 1836472910 2020120201 2203767492 2754709365 3672945820 4040240402 4407534984 5509418730 6060360603 7345891640 8080480804 10100601005 11018837460 12120721206 16160961608 20201202010 22037674920 24241442412 30301803015 40402404020 48482884824 60603606030 80804808040 121207212060 242414424120