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4342441205320 = 2351733181123789
BaseRepresentation
bin111111001100001101101…
…010100101111001001000
3120101010121012020100022121
4333030031222211321020
51032121304422032240
613122520121301024
7625505512141111
oct77141552457110
916333535210277
104342441205320
111424689942669
125a1716934774
1325664b69188a
14110264d57208
1577e5461604a
hex3f30daa5e48

4342441205320 has 128 divisors (see below), whose sum is σ = 10389713443200. Its totient is φ = 1627784294400.

The previous prime is 4342441205251. The next prime is 4342441205339. The reversal of 4342441205320 is 235021442434.

It is a super-2 number, since 2×43424412053202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182527986 + ... + 182551774.

It is an arithmetic number, because the mean of its divisors is an integer number (81169636275).

Almost surely, 24342441205320 is an apocalyptic number.

4342441205320 is a gapful number since it is divisible by the number (40) 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 4342441205320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194856721600).

4342441205320 is an abundant number, since it is smaller than the sum of its proper divisors (6047272237880).

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

4342441205320 is a wasteful number, since it uses less digits than its factorization.

4342441205320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24959 (or 24955 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 4342441205320 its reverse (235021442434), we get a palindrome (4577462647754).

The spelling of 4342441205320 in words is "four trillion, three hundred forty-two billion, four hundred forty-one million, two hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 331 340 662 680 811 1324 1622 1655 2648 3244 3310 4055 5627 6488 6620 8110 11254 13240 13787 16220 22508 23789 27574 28135 32440 45016 47578 55148 56270 68935 95156 110296 112540 118945 137870 190312 225080 237890 268441 275740 404413 475780 536882 551480 808826 951560 1073764 1342205 1617652 2022065 2147528 2684410 3235304 4044130 4563497 5368820 7874159 8088260 9126994 10737640 15748318 16176520 18253988 19292879 22817485 31496636 36507976 38585758 39370795 45634970 62993272 77171516 78741590 91269940 96464395 133860703 154343032 157483180 182539880 192928790 267721406 314966360 327978943 385857580 535442812 655957886 669303515 771715160 1070885624 1311915772 1338607030 1639894715 2623831544 2677214060 3279789430 5354428120 6385942949 6559578860 12771885898 13119157720 25543771796 31929714745 51087543592 63859429490 108561030133 127718858980 217122060266 255437717960 434244120532 542805150665 868488241064 1085610301330 2171220602660 4342441205320