Search a number
-
+
42044314000 = 2453138319483
BaseRepresentation
bin100111001010000010…
…010101000110010000
311000112010210110002211
4213022002111012100
51142101321022000
631152003321504
73015616525633
oct471202250620
9130463713084
1042044314000
1116915a12447
128194680294
133c70773c10
14206bcbdc1a
1511611ee7ba
hex9ca095190

42044314000 has 160 divisors (see below), whose sum is σ = 110808157824. Its totient is φ = 15336230400.

The previous prime is 42044313943. The next prime is 42044314001. The reversal of 42044314000 is 41344024.

It is not an unprimeable number, because it can be changed into a prime (42044314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148259 + ... + 2167741.

Almost surely, 242044314000 is an apocalyptic number.

42044314000 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 42044314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404078912).

42044314000 is an abundant number, since it is smaller than the sum of its proper divisors (68763843824).

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

42044314000 is a wasteful number, since it uses less digits than its factorization.

42044314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19602 (or 19586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42044314000 its reverse (41344024), we get a palindrome (42085658024).

The spelling of 42044314000 in words is "forty-two billion, forty-four million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 83 100 104 125 130 166 200 208 250 260 325 332 400 415 500 520 650 664 830 1000 1040 1079 1300 1328 1625 1660 2000 2075 2158 2600 3250 3320 4150 4316 5200 5395 6500 6640 8300 8632 10375 10790 13000 16600 17264 19483 20750 21580 26000 26975 33200 38966 41500 43160 53950 77932 83000 86320 97415 107900 134875 155864 166000 194830 215800 253279 269750 311728 389660 431600 487075 506558 539500 779320 974150 1013116 1079000 1266395 1558640 1617089 1948300 2026232 2158000 2435375 2532790 3234178 3896600 4052464 4870750 5065580 6331975 6468356 7793200 8085445 9741500 10131160 12663950 12936712 16170890 19483000 20262320 21022157 25327900 25873424 31659875 32341780 38966000 40427225 42044314 50655800 63319750 64683560 80854450 84088628 101311600 105110785 126639500 129367120 161708900 168177256 202136125 210221570 253279000 323417800 336354512 404272250 420443140 506558000 525553925 646835600 808544500 840886280 1051107850 1617089000 1681772560 2102215700 2627769625 3234178000 4204431400 5255539250 8408862800 10511078500 21022157000 42044314000