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4234042304220 = 2235131538682227
BaseRepresentation
bin111101100111010000100…
…101100110011011011100
3112222202210200120121201210
4331213100211212123130
51023332304312213340
613001031524504420
7614620341525351
oct75472045463334
915882720517653
104234042304220
111392713554893
1258470424b110
13249364ac3991
14108d00672628
157520cd88180
hex3d9d09666dc

4234042304220 has 48 divisors (see below), whose sum is σ = 11945817088128. Its totient is φ = 1120459030080.

The previous prime is 4234042304201. The next prime is 4234042304227. The reversal of 4234042304220 is 224032404324.

It is a super-3 number, since 3×42340423042203 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234042304227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269333254 + ... + 269348973.

It is an arithmetic number, because the mean of its divisors is an integer number (248871189336).

Almost surely, 24234042304220 is an apocalyptic number.

It is an amenable number.

4234042304220 is an abundant number, since it is smaller than the sum of its proper divisors (7711774783908).

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

4234042304220 is a wasteful number, since it uses less digits than its factorization.

4234042304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538682370 (or 538682368 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4234042304220 its reverse (224032404324), we get a palindrome (4458074708544).

The spelling of 4234042304220 in words is "four trillion, two hundred thirty-four billion, forty-two million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 538682227 1077364454 1616046681 2154728908 2693411135 3232093362 5386822270 6464186724 8080233405 10773644540 16160466810 32320933620 70567371737 141134743474 211702115211 282269486948 352836858685 423404230422 705673717370 846808460844 1058510576055 1411347434740 2117021152110 4234042304220