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4143424120 = 23511471911049
BaseRepresentation
bin1111011011110111…
…1010001001111000
3101200202120202100121
43312331322021320
531441204032440
61523051543024
7204451344463
oct36675721170
911622522317
104143424120
111836944960
1297775aa74
1351055a464
142b440a2da
15193b5634a
hexf6f7a278

4143424120 has 128 divisors (see below), whose sum is σ = 10450944000. Its totient is φ = 1465523200.

The previous prime is 4143424111. The next prime is 4143424121. The reversal of 4143424120 is 214243414.

It is a super-3 number, since 3×41434241203 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143424121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3949356 + ... + 3950404.

It is an arithmetic number, because the mean of its divisors is an integer number (81648000).

Almost surely, 24143424120 is an apocalyptic number.

4143424120 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 4143424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

4143424120 is an abundant number, since it is smaller than the sum of its proper divisors (6307519880).

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

4143424120 is a wasteful number, since it uses less digits than its factorization.

4143424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4143424120 is about 64369.4346720553. The cubic root of 4143424120 is about 1606.1513359837.

Adding to 4143424120 its reverse (214243414), we get a palindrome (4357667534).

The spelling of 4143424120 in words is "four billion, one hundred forty-three million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 191 220 235 376 382 440 470 517 764 940 955 1034 1049 1528 1880 1910 2068 2098 2101 2585 3820 4136 4196 4202 5170 5245 7640 8392 8404 8977 10340 10490 10505 11539 16808 17954 20680 20980 21010 23078 35908 41960 42020 44885 46156 49303 57695 71816 84040 89770 92312 98606 98747 115390 179540 197212 197494 200359 230780 246515 359080 394424 394988 400718 461560 493030 493735 542333 789976 801436 986060 987470 1001795 1084666 1602872 1972120 1974940 2003590 2169332 2203949 2711665 3949880 4007180 4338664 4407898 5423330 8014360 8815796 9416873 10846660 11019745 17631592 18833746 21693320 22039490 37667492 44078980 47084365 75334984 88157960 94168730 103585603 188337460 207171206 376674920 414342412 517928015 828684824 1035856030 2071712060 4143424120