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4021042300 = 225211171012129
BaseRepresentation
bin1110111110101100…
…0011110001111100
3101101020022010001121
43233223003301330
531213341323200
61503000520324
7201434203252
oct35753036174
911336263047
104021042300
111783856660
129427800a4
134c10ab392
142a20705d2
1518802ee1a
hexefac3c7c

4021042300 has 144 divisors (see below), whose sum is σ = 10183410720. Its totient is φ = 1361920000.

The previous prime is 4021042261. The next prime is 4021042301. The reversal of 4021042300 is 32401204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021042301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1887636 + ... + 1889764.

It is an arithmetic number, because the mean of its divisors is an integer number (70718130).

Almost surely, 24021042300 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 4021042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091705360).

4021042300 is an abundant number, since it is smaller than the sum of its proper divisors (6162368420).

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

4021042300 is a wasteful number, since it uses less digits than its factorization.

4021042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4021042300 is about 63411.6889855490. The cubic root of 4021042300 is about 1590.1797325930.

Adding to 4021042300 its reverse (32401204), we get a palindrome (4053443504).

It can be divided in two parts, 402104 and 2300, that added together give a palindrome (404404).

The spelling of 4021042300 in words is "four billion, twenty-one million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 101 110 170 187 202 220 275 340 374 404 425 505 550 748 850 935 1010 1100 1111 1700 1717 1870 2020 2129 2222 2525 3434 3740 4258 4444 4675 5050 5555 6868 8516 8585 9350 10100 10645 11110 17170 18700 18887 21290 22220 23419 27775 34340 36193 37774 42580 42925 46838 53225 55550 72386 75548 85850 93676 94435 106450 111100 117095 144772 171700 180965 188870 212900 215029 234190 361930 377740 398123 430058 468380 472175 585475 723860 796246 860116 904825 944350 1075145 1170950 1592492 1809650 1888700 1990615 2150290 2341900 2365319 3619300 3655493 3981230 4300580 4730638 5375725 7310986 7962460 9461276 9953075 10751450 11826595 14621972 18277465 19906150 21502900 23653190 36554930 39812300 40210423 47306380 59132975 73109860 80420846 91387325 118265950 160841692 182774650 201052115 236531900 365549300 402104230 804208460 1005260575 2010521150 4021042300