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4322323200140 = 22511215727894079
BaseRepresentation
bin111110111001011110100…
…010011111100010001100
3120022012200010122210101122
4332321132202133202030
51031304104214401030
613105351534500112
7624164125001561
oct76713642374214
916265603583348
104322323200140
1114170a5844600
12599841364638
1325479370acba
1410d2b7114868
157767833a8e5
hex3ee5e89f88c

4322323200140 has 144 divisors (see below), whose sum is σ = 10046675721600. Its totient is φ = 1560800017920.

The previous prime is 4322323200137. The next prime is 4322323200191. The reversal of 4322323200140 is 410023232234.

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, 1059650621 + ... + 1059654699.

It is an arithmetic number, because the mean of its divisors is an integer number (69768581400).

Almost surely, 24322323200140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4322323200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023337860800).

4322323200140 is an abundant number, since it is smaller than the sum of its proper divisors (5724352521460).

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

4322323200140 is a wasteful number, since it uses less digits than its factorization.

4322323200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 4322323200140 its reverse (410023232234), we get a palindrome (4732346432374).

The spelling of 4322323200140 in words is "four trillion, three hundred twenty-two billion, three hundred twenty-three million, two hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 242 314 484 605 628 785 1210 1570 1727 2420 2789 3140 3454 4079 5578 6908 8158 8635 11156 13945 16316 17270 18997 20395 27890 30679 34540 37994 40790 44869 55780 61358 75988 81580 89738 94985 122716 153395 179476 189970 224345 306790 337469 379940 437873 448690 493559 613580 640403 674938 875746 897380 987118 1280806 1349876 1687345 1751492 1974236 2189365 2467795 2561612 3202015 3374690 4378730 4816603 4935590 6404030 6749380 7044433 8757460 9633206 9871180 11376331 12808060 14088866 19266412 22752662 24083015 28177732 35222165 45505324 48166030 52982633 56881655 70444330 77488763 96332060 105965266 113763310 125139641 140888660 154977526 211930532 227526620 250279282 264913165 309955052 387443815 500558564 529826330 625698205 774887630 1059652660 1251396410 1376536051 1549775260 1786083967 2502792820 2753072102 3572167934 5506144204 6882680255 7144335868 8930419835 13765360510 17860839670 19646923637 27530721020 35721679340 39293847274 78587694548 98234618185 196469236370 216116160007 392938472740 432232320014 864464640028 1080580800035 2161161600070 4322323200140