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4143240420 = 22351110957593
BaseRepresentation
bin1111011011110100…
…1101010011100100
3101200202020102100220
43312331031103210
531441132143140
61523044004340
7204446651064
oct36675152344
911622212326
104143240420
111836829940
129776906b0
135104c4967
142b439d3a4
15193b1bbd0
hexf6f4d4e4

4143240420 has 96 divisors (see below), whose sum is σ = 12772045440. Its totient is φ = 995189760.

The previous prime is 4143240419. The next prime is 4143240421. The reversal of 4143240420 is 240423414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4143240419) and next prime (4143240421).

It is not an unprimeable number, because it can be changed into a prime (4143240421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43144 + ... + 100736.

It is an arithmetic number, because the mean of its divisors is an integer number (133042140).

Almost surely, 24143240420 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 4143240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386022720).

4143240420 is an abundant number, since it is smaller than the sum of its proper divisors (8628805020).

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

4143240420 is a wasteful number, since it uses less digits than its factorization.

4143240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57725 (or 57723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4143240420 is about 64368.0077367631. The cubic root of 4143240420 is about 1606.1275992262.

Adding to 4143240420 its reverse (240423414), we get a palindrome (4383663834).

The spelling of 4143240420 in words is "four billion, one hundred forty-three million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3597 4796 5995 6540 7194 11990 14388 17985 23980 35970 57593 71940 115186 172779 230372 287965 345558 575930 633523 691116 863895 1151860 1267046 1727790 1900569 2534092 3167615 3455580 3801138 6277637 6335230 7602276 9502845 12555274 12670460 18832911 19005690 25110548 31388185 37665822 38011380 62776370 69054007 75331644 94164555 125552740 138108014 188329110 207162021 276216028 345270035 376658220 414324042 690540070 828648084 1035810105 1381080140 2071620210 4143240420