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4142222420 = 225753558251
BaseRepresentation
bin1111011011100101…
…0100110001010100
3101200200022200221012
43312321110301110
531440402104140
61523010111352
7204435211130
oct36671246124
911620280835
104142222420
1118361a4016
1297727b558
135102294ab
142b41b63c0
151939ba265
hexf6e54c54

4142222420 has 48 divisors (see below), whose sum is σ = 10128924288. Its totient is φ = 1393392000.

The previous prime is 4142222419. The next prime is 4142222443. The reversal of 4142222420 is 242222414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271706 + ... + 286545.

It is an arithmetic number, because the mean of its divisors is an integer number (211019256).

Almost surely, 24142222420 is an apocalyptic number.

It is an amenable number.

4142222420 is an abundant number, since it is smaller than the sum of its proper divisors (5986701868).

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

4142222420 is a wasteful number, since it uses less digits than its factorization.

4142222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558320 (or 558318 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4142222420 is about 64360.0995959453. The cubic root of 4142222420 is about 1605.9960458478.

Adding to 4142222420 its reverse (242222414), we get a palindrome (4384444834).

The spelling of 4142222420 in words is "four billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 558251 1116502 2233004 2791255 3907757 5582510 7815514 11165020 15631028 19538785 29587303 39077570 59174606 78155140 118349212 147936515 207111121 295873030 414222242 591746060 828444484 1035555605 2071111210 4142222420