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242044111230 = 235234214911697
BaseRepresentation
bin1110000101101011110…
…1000000100101111110
3212010202110200211110020
43201122331000211332
512431201243024410
6303105445153010
723326035666525
oct3413275004576
9763673624406
10242044111230
1193717655269
123aab00bb766
1319a94a219bc
14ba01d4b4bc
156469633a70
hex385af4097e

242044111230 has 128 divisors (see below), whose sum is σ = 609198713856. Its totient is φ = 61430476800.

The previous prime is 242044111171. The next prime is 242044111279. The reversal of 242044111230 is 32111440242.

It is a super-2 number, since 2×2420441112302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242044111230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142629742 + ... + 142631438.

It is an arithmetic number, because the mean of its divisors is an integer number (4759364952).

Almost surely, 2242044111230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242044111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304599356928).

242044111230 is an abundant number, since it is smaller than the sum of its proper divisors (367154602626).

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

242044111230 is a wasteful number, since it uses less digits than its factorization.

242044111230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242044111230 its reverse (32111440242), we get a palindrome (274155551472).

The spelling of 242044111230 in words is "two hundred forty-two billion, forty-four million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 421 491 690 842 982 1263 1473 1697 2105 2455 2526 2946 3394 4210 4910 5091 6315 7365 8485 9683 10182 11293 12630 14730 16970 19366 22586 25455 29049 33879 39031 48415 50910 56465 58098 67758 78062 96830 112930 117093 145245 169395 195155 206711 234186 290490 338790 390310 413422 585465 620133 714437 833227 1033555 1170930 1240266 1428874 1666454 2067110 2143311 2499681 3100665 3572185 4166135 4286622 4754353 4999362 6201330 7144370 8332270 9508706 10716555 12498405 14263059 16432051 19164221 21433110 23771765 24996810 28526118 32864102 38328442 47543530 49296153 57492663 71315295 82160255 95821105 98592306 114985326 142630590 164320510 191642210 246480765 287463315 350788567 492961530 574926630 701577134 1052365701 1753942835 2104731402 3507885670 5261828505 8068137041 10523657010 16136274082 24204411123 40340685205 48408822246 80681370410 121022055615 242044111230