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4142033430 = 235239536299
BaseRepresentation
bin1111011011100010…
…0110101000010110
3101200122222002200120
43312320212220112
531440330032210
61523002052410
7204433463133
oct36670465026
911618862616
104142033430
111836085027
129771aa106
13510191472
142b416758a
1519397e270
hexf6e26a16

4142033430 has 64 divisors (see below), whose sum is σ = 10385625600. Its totient is φ = 1055242496.

The previous prime is 4142033417. The next prime is 4142033447. The reversal of 4142033430 is 343302414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142033430.

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 31 ways as a sum of consecutive naturals, for example, 654421 + ... + 660719.

It is an arithmetic number, because the mean of its divisors is an integer number (162275400).

Almost surely, 24142033430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142033430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192812800).

4142033430 is an abundant number, since it is smaller than the sum of its proper divisors (6243592170).

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

4142033430 is a wasteful number, since it uses less digits than its factorization.

4142033430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4142033430 is about 64358.6313558640. The cubic root of 4142033430 is about 1605.9716208107.

Adding to 4142033430 its reverse (343302414), we get a palindrome (4485335844).

The spelling of 4142033430 in words is "four billion, one hundred forty-two million, thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 953 1906 2859 4765 5718 6299 9530 12598 14295 18897 21919 28590 31495 37794 43838 62990 65757 94485 109595 131514 144877 188970 219190 289754 328785 434631 657570 724385 869262 1448770 2173155 4346310 6002947 12005894 18008841 30014735 36017682 60029470 90044205 138067781 180088410 276135562 414203343 690338905 828406686 1380677810 2071016715 4142033430