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242034337710 = 23351190789849
BaseRepresentation
bin1110000101101001011…
…1101110011110101110
3212010201210022021201000
43201122113232132232
512431141242301320
6303104455501130
723325556632354
oct3413227563656
9763653267630
10242034337710
119371208a280
123aaa89877a6
1319a929ac259
14ba009257d4
156468852c90
hex385a5ee7ae

242034337710 has 128 divisors (see below), whose sum is σ = 704884032000. Its totient is φ = 58609647360.

The previous prime is 242034337691. The next prime is 242034337723. The reversal of 242034337710 is 17733430242.

242034337710 is a `hidden beast` number, since 2 + 4 + 203 + 433 + 7 + 7 + 10 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2648866 + ... + 2738714.

It is an arithmetic number, because the mean of its divisors is an integer number (5506906500).

Almost surely, 2242034337710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242034337710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352442016000).

242034337710 is an abundant number, since it is smaller than the sum of its proper divisors (462849694290).

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

242034337710 is a wasteful number, since it uses less digits than its factorization.

242034337710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90783 (or 90777 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 242034337710 its reverse (17733430242), we get a palindrome (259767767952).

The spelling of 242034337710 in words is "two hundred forty-two billion, thirty-four million, three hundred thirty-seven thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 907 990 1485 1814 2721 2970 4535 5442 8163 9070 9977 13605 16326 19954 24489 27210 29931 40815 48978 49885 59862 81630 89793 89849 99770 122445 149655 179586 179698 244890 269379 269547 299310 448965 449245 538758 539094 808641 897930 898490 988339 1346895 1347735 1617282 1976678 2425923 2693790 2695470 2965017 4043205 4851846 4941695 5930034 8086410 8895051 9883390 12129615 14825085 17790102 24259230 26685153 29650170 44475255 53370306 81493043 88950510 133425765 162986086 244479129 266851530 407465215 488958258 733437387 814930430 896423473 1222395645 1466874774 1792846946 2200312161 2444791290 2689270419 3667186935 4400624322 4482117365 5378540838 7334373870 8067811257 8964234730 11001560805 13446352095 16135622514 22003121610 24203433771 26892704190 40339056285 48406867542 80678112570 121017168855 242034337710