Search a number
-
+
4143213200 = 245271499931
BaseRepresentation
bin1111011011110100…
…0110101010010000
3101200202012001000202
43312331012222100
531441130310300
61523043234332
7204446505530
oct36675065220
911622161022
104143213200
111836810445
129776789a8
135104b5459
142b43934c0
15193b13ad5
hexf6f46a90

4143213200 has 120 divisors (see below), whose sum is σ = 11453582400. Its totient is φ = 1410854400.

The previous prime is 4143213181. The next prime is 4143213229. The reversal of 4143213200 is 23123414.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 412235 + ... + 422165.

It is an arithmetic number, because the mean of its divisors is an integer number (95446520).

Almost surely, 24143213200 is an apocalyptic number.

4143213200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726791200).

4143213200 is an abundant number, since it is smaller than the sum of its proper divisors (7310369200).

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

4143213200 is a wasteful number, since it uses less digits than its factorization.

4143213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4143213200 is about 64367.7962959740. The cubic root of 4143213200 is about 1606.1240819398.

Adding to 4143213200 its reverse (23123414), we get a palindrome (4166336614).

The spelling of 4143213200 in words is "four billion, one hundred forty-three million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 149 175 200 280 298 350 400 560 596 700 745 1043 1192 1400 1490 2086 2384 2800 2980 3725 4172 5215 5960 7450 8344 9931 10430 11920 14900 16688 19862 20860 26075 29800 39724 41720 49655 52150 59600 69517 79448 83440 99310 104300 139034 158896 198620 208600 248275 278068 347585 397240 417200 496550 556136 695170 794480 993100 1112272 1390340 1479719 1737925 1986200 2780680 2959438 3475850 3972400 5561360 5918876 6951700 7398595 10358033 11837752 13903400 14797190 20716066 23675504 27806800 29594380 36992975 41432132 51790165 59188760 73985950 82864264 103580330 118377520 147971900 165728528 207160660 258950825 295943800 414321320 517901650 591887600 828642640 1035803300 2071606600 4143213200