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24133141230 = 23511234767651
BaseRepresentation
bin10110011110011100…
…101000001011101110
32022021212202121010120
4112132130220023232
5343411041004410
615030412545410
71513020213222
oct263634501356
968255677116
1024133141230
11a264590220
124816182266
132377a74833
14124d1b6782
15963a40570
hex59e7282ee

24133141230 has 128 divisors (see below), whose sum is σ = 67335929856. Its totient is φ = 5476944000.

The previous prime is 24133141199. The next prime is 24133141267. The reversal of 24133141230 is 3214133142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 24133141230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322905 + ... + 390555.

It is an arithmetic number, because the mean of its divisors is an integer number (526061952).

Almost surely, 224133141230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24133141230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33667964928).

24133141230 is an abundant number, since it is smaller than the sum of its proper divisors (43202788626).

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

24133141230 is a wasteful number, since it uses less digits than its factorization.

24133141230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67742.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 24133141230 its reverse (3214133142), we get a palindrome (27347274372).

The spelling of 24133141230 in words is "twenty-four billion, one hundred thirty-three million, one hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 47 55 66 69 94 110 115 138 141 165 230 235 253 282 330 345 470 506 517 690 705 759 1034 1081 1265 1410 1518 1551 2162 2530 2585 3102 3243 3795 5170 5405 6486 7590 7755 10810 11891 15510 16215 23782 32430 35673 59455 67651 71346 118910 135302 178365 202953 338255 356730 405906 676510 744161 1014765 1488322 1555973 2029530 2232483 3111946 3179597 3720805 4464966 4667919 6359194 7441610 7779865 9335838 9538791 11162415 15559730 15897985 17115703 19077582 22324830 23339595 31795970 34231406 34975567 46679190 47693955 51347109 69951134 73130731 85578515 95387910 102694218 104926701 146261462 171157030 174877835 209853402 219392193 256735545 349755670 365653655 438784386 513471090 524633505 731307310 804438041 1049267010 1096960965 1608876082 2193921930 2413314123 4022190205 4826628246 8044380410 12066570615 24133141230