Search a number
-
+
200444241432 = 23331678945181
BaseRepresentation
bin1011101010101101101…
…0000110011000011000
3201011101022012111011210
42322223122012120120
511241002211211212
6232025515423120
720324123640351
oct2725332063030
9634338174153
10200444241432
117800a604386
1232a20454aa0
1315b95380a26
1499b70c0d28
15533247653c
hex2eab686618

200444241432 has 128 divisors (see below), whose sum is σ = 530906572800. Its totient is φ = 62977305600.

The previous prime is 200444241421. The next prime is 200444241433. The reversal of 200444241432 is 234142444002.

It is a self number, because there is not a number n which added to its sum of digits gives 200444241432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200444241433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4413882 + ... + 4459062.

It is an arithmetic number, because the mean of its divisors is an integer number (4147707600).

Almost surely, 2200444241432 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 200444241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265453286400).

200444241432 is an abundant number, since it is smaller than the sum of its proper divisors (330462331368).

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

200444241432 is a wasteful number, since it uses less digits than its factorization.

200444241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45373 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 200444241432 its reverse (234142444002), we get a palindrome (434586685434).

The spelling of 200444241432 in words is "two hundred billion, four hundred forty-four million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 89 93 124 134 178 186 201 248 267 268 356 372 402 534 536 712 744 804 1068 1608 2077 2136 2759 4154 5518 5963 6231 8277 8308 11036 11926 12462 16554 16616 17889 22072 23852 24924 33108 35778 45181 47704 49848 66216 71556 90362 135543 143112 180724 184853 271086 361448 369706 542172 554559 739412 1084344 1109118 1400611 1478824 2218236 2801222 3027127 4021109 4201833 4436472 5602444 6054254 8042218 8403666 9081381 11204888 12063327 12108508 16084436 16807332 18162762 24126654 24217016 32168872 33614664 36325524 48253308 72651048 93840937 96506616 124654379 187681874 249308758 269414303 281522811 373963137 375363748 498617516 538828606 563045622 747926274 750727496 808242909 997235032 1077657212 1126091244 1495852548 1616485818 2155314424 2252182488 2991705096 3232971636 6465943272 8351843393 16703686786 25055530179 33407373572 50111060358 66814747144 100222120716 200444241432