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4221012042 = 2321317262417
BaseRepresentation
bin1111101110010111…
…1000100001001010
3101220011120121222100
43323211320201022
532121034341132
61534502534230
7206413003362
oct37345704112
911804517870
104221012042
111876718905
12999737376
13523654980
142c08459a2
1519a88037c
hexfb97884a

4221012042 has 72 divisors (see below), whose sum is σ = 10462629996. Its totient is φ = 1222354944.

The previous prime is 4221012041. The next prime is 4221012079. The reversal of 4221012042 is 2402101224.

It can be written as a sum of positive squares in 6 ways, for example, as 1098325881 + 3122686161 = 33141^2 + 55881^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4221012041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 36418 + ... + 98834.

Almost surely, 24221012042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221012042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231314998).

4221012042 is an abundant number, since it is smaller than the sum of its proper divisors (6241617954).

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

4221012042 is a wasteful number, since it uses less digits than its factorization.

4221012042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62472 (or 62452 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4221012042 is about 64969.3161577063. The cubic root of 4221012042 is about 1616.1147612864.

Adding to 4221012042 its reverse (2402101224), we get a palindrome (6623113266).

The spelling of 4221012042 in words is "four billion, two hundred twenty-one million, twelve thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 289 306 442 578 663 867 1326 1734 1989 2601 3757 3978 5202 7514 11271 22542 33813 62417 67626 124834 187251 374502 561753 811421 1061089 1123506 1622842 2122178 2434263 3183267 4868526 6366534 7302789 9549801 13794157 14605578 18038513 19099602 27588314 36077026 41382471 54115539 82764942 108231078 124147413 162346617 234500669 248294826 324693234 469001338 703502007 1407004014 2110506021 4221012042