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242421432210 = 232523435726879
BaseRepresentation
bin1110000111000101110…
…0010111111110010010
3212011201202200201112100
43201301130113332102
512432434341312320
6303211124341230
723341300113636
oct3416134277622
9764652621470
10242421432210
11938a0640091
123ab96544816
1319b24c52659
14ba3a0cadc6
15648c817790
hex3871717f92

242421432210 has 96 divisors (see below), whose sum is σ = 657875312640. Its totient is φ = 61818539904.

The previous prime is 242421432203. The next prime is 242421432223. The reversal of 242421432210 is 12234124242.

It is a happy number.

242421432210 is a `hidden beast` number, since 2 + 424 + 2 + 14 + 3 + 221 + 0 = 666.

242421432210 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 47 ways as a sum of consecutive naturals, for example, 9005551 + ... + 9032429.

It is an arithmetic number, because the mean of its divisors is an integer number (6852867840).

Almost surely, 2242421432210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242421432210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328937656320).

242421432210 is an abundant number, since it is smaller than the sum of its proper divisors (415453880430).

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

242421432210 is a wasteful number, since it uses less digits than its factorization.

242421432210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31272 (or 31269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242421432210 its reverse (12234124242), we get a palindrome (254655556452).

The spelling of 242421432210 in words is "two hundred forty-two billion, four hundred twenty-one million, four hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4357 8714 13071 21785 26142 26879 39213 43570 53758 65355 78426 80637 100211 130710 134395 161274 196065 200422 241911 268790 300633 392130 403185 483822 501055 601266 618217 806370 901899 1002110 1209555 1236434 1503165 1803798 1854651 2419110 3006330 3091085 3709302 4509495 5563953 6182170 9018990 9273255 11127906 18546510 27819765 55639530 117111803 234223606 351335409 585559015 702670818 1054006227 1171118030 1756677045 2108012454 2693571469 3513354090 5270031135 5387142938 8080714407 10540062270 13467857345 16161428814 24242143221 26935714690 40403572035 48484286442 80807144070 121210716105 242421432210