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4431242020 = 2254353191509
BaseRepresentation
bin1000010000001111…
…10110001100100100
3102102211011102021211
410020013312030210
533033344221040
62011412521204
7214544635642
oct41007661444
912384142254
104431242020
111974358797
12a38020204
135580813ca
1430072c192
151ae05a8ea
hex1081f6324

4431242020 has 96 divisors (see below), whose sum is σ = 9771632640. Its totient is φ = 1686397440.

The previous prime is 4431241987. The next prime is 4431242033. The reversal of 4431242020 is 202421344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4431241982 and 4431242000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8705526 + ... + 8706034.

It is an arithmetic number, because the mean of its divisors is an integer number (101787840).

Almost surely, 24431242020 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 4431242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885816320).

4431242020 is an abundant number, since it is smaller than the sum of its proper divisors (5340390620).

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

4431242020 is a wasteful number, since it uses less digits than its factorization.

4431242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4431242020 is about 66567.5748394066. The cubic root of 4431242020 is about 1642.5117692777.

Adding to 4431242020 its reverse (202421344), we get a palindrome (4633663364).

The spelling of 4431242020 in words is "four billion, four hundred thirty-one million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 191 212 215 265 382 430 509 530 764 860 955 1018 1060 1910 2036 2279 2545 3820 4558 5090 8213 9116 10123 10180 11395 16426 20246 21887 22790 26977 32852 40492 41065 43774 45580 50615 53954 82130 87548 97219 101230 107908 109435 134885 164260 194438 202460 218870 269770 388876 435289 437740 486095 539540 870578 972190 1160011 1741156 1944380 2176445 2320022 4180417 4352890 4640044 5152607 5800055 8360834 8705780 10305214 11600110 16721668 20610428 20902085 23200220 25763035 41804170 51526070 83608340 103052140 221562101 443124202 886248404 1107810505 2215621010 4431242020