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23442443311300 = 225213137719183067
BaseRepresentation
bin1010101010010000111101…
…00000011001100011000100
310002000002001011212202121021
411111020132200121203010
511033040110441430200
6121505150525200524
74636442412253246
oct525103640314304
9102002034782537
1023442443311300
117518980119092
122767376a00144
1310107c7775c50
145b08981ba096
152a9bd223941a
hex15521e8198c4

23442443311300 has 144 divisors (see below), whose sum is σ = 55260115626240. Its totient is φ = 8580493808640.

The previous prime is 23442443311229. The next prime is 23442443311303. The reversal of 23442443311300 is 311334424432.

It is not an unprimeable number, because it can be changed into a prime (23442443311303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127962367 + ... + 128145433.

It is an arithmetic number, because the mean of its divisors is an integer number (383750802960).

Almost surely, 223442443311300 is an apocalyptic number.

23442443311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23442443311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630057813120).

23442443311300 is an abundant number, since it is smaller than the sum of its proper divisors (31817672314940).

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

23442443311300 is a wasteful number, since it uses less digits than its factorization.

23442443311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183950 (or 183943 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 23442443311300 its reverse (311334424432), we get a palindrome (23753777735732).

The spelling of 23442443311300 in words is "twenty-three trillion, four hundred forty-two billion, four hundred forty-three million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 260 274 325 548 650 685 719 1300 1370 1438 1781 2740 2876 3425 3562 3595 6850 7124 7190 8905 9347 13700 14380 17810 17975 18694 35620 35950 37388 44525 46735 71900 89050 93470 98503 178100 183067 186940 197006 233675 366134 394012 467350 492515 732268 915335 934700 985030 1280539 1830670 1970060 2379871 2462575 2561078 3661340 4576675 4759742 4925150 5122156 6402695 9153350 9519484 9850300 11899355 12805390 18306700 23798710 25080179 25610780 32013475 47597420 50160358 59496775 64026950 100320716 118993550 125400895 128053900 131625173 237987100 250801790 263250346 326042327 501603580 526500692 627004475 652084654 658125865 1254008950 1304169308 1316251730 1630211635 1711127249 2508017900 2632503460 3260423270 3290629325 3422254498 6520846540 6581258650 6844508996 8151058175 8555636245 13162517300 16302116350 17111272490 18032648701 32604232700 34222544980 36065297402 42778181225 72130594804 85556362450 90163243505 171112724900 180326487010 234424433113 360652974020 450816217525 468848866226 901632435050 937697732452 1172122165565 1803264870100 2344244331130 4688488662260 5860610827825 11721221655650 23442443311300