Search a number
-
+
4043343221200 = 2452101628715919
BaseRepresentation
bin111010110101101010000…
…010010101000111010000
3112022112120112121110202001
4322311222002111013100
51012221231331034300
612333253005403344
7565056546211363
oct72655202250720
915275515543661
104043343221200
111319854925238
12553763569554
132343936b409a
14dd9ad9380da
157029b23116a
hex3ad6a0951d0

4043343221200 has 120 divisors (see below), whose sum is σ = 9812488389120. Its totient is φ = 1600968768000.

The previous prime is 4043343221149. The next prime is 4043343221201. The reversal of 4043343221200 is 21223433404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043343221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253986841 + ... + 254002759.

It is an arithmetic number, because the mean of its divisors is an integer number (81770736576).

Almost surely, 24043343221200 is an apocalyptic number.

4043343221200 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 4043343221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906244194560).

4043343221200 is an abundant number, since it is smaller than the sum of its proper divisors (5769145167920).

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

4043343221200 is a wasteful number, since it uses less digits than its factorization.

4043343221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22325 (or 22314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4043343221200 its reverse (21223433404), we get a palindrome (4064566654604).

The spelling of 4043343221200 in words is "four trillion, forty-three billion, three hundred forty-three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 6287 8080 10100 12574 15919 20200 25148 31435 31838 40400 50296 62870 63676 79595 100592 125740 127352 157175 159190 251480 254704 314350 318380 397975 502960 628700 634987 636760 795950 1257400 1269974 1273520 1591900 1607819 2514800 2539948 3174935 3183800 3215638 5079896 6349870 6367600 6431276 8039095 10159792 12699740 12862552 15874675 16078190 25399480 25725104 31749350 32156380 40195475 50798960 63498700 64312760 80390950 100082753 126997400 128625520 160781900 200165506 253994800 321563800 400331012 500413765 643127600 800662024 1000827530 1601324048 2001655060 2502068825 4003310120 5004137650 8006620240 10008275300 10108358053 20016550600 20216716106 40033101200 40433432212 50541790265 80866864424 101083580530 161733728848 202167161060 252708951325 404334322120 505417902650 808668644240 1010835805300 2021671610600 4043343221200