Search a number
-
+
44145342000 = 2432532452519
BaseRepresentation
bin101001000111010001…
…000111011000110000
311012221120020201200200
4221013101013120300
51210402201421000
632140255515200
73121651133664
oct510721073060
9135846221620
1044145342000
11177a3992921
128680228b00
134216b31956
1421cad568a4
1512358bb500
hexa47447630

44145342000 has 120 divisors (see below), whose sum is σ = 154185027360. Its totient is φ = 11772086400.

The previous prime is 44145341983. The next prime is 44145342029. The reversal of 44145342000 is 24354144.

It is a happy number.

44145342000 is a `hidden beast` number, since 4 + 4 + 1 + 453 + 4 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×441453420002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208260 + ... + 1244259.

It is an arithmetic number, because the mean of its divisors is an integer number (1284875228).

Almost surely, 244145342000 is an apocalyptic number.

44145342000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44145342000 is an abundant number, since it is smaller than the sum of its proper divisors (110039685360).

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

44145342000 is a wasteful number, since it uses less digits than its factorization.

44145342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452548 (or 2452529 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 44145342000 its reverse (24354144), we get a palindrome (44169696144).

The spelling of 44145342000 in words is "forty-four billion, one hundred forty-five million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 2452519 4905038 7357557 9810076 12262595 14715114 19620152 22072671 24525190 29430228 36787785 39240304 44145342 49050380 58860456 61312975 73575570 88290684 98100760 110363355 117720912 122625950 147151140 176581368 183938925 196201520 220726710 245251900 294302280 306564875 353162736 367877850 441453420 490503800 551816775 588604560 613129750 735755700 882906840 919694625 981007600 1103633550 1226259500 1471511400 1765813680 1839389250 2207267100 2452519000 2759083875 2943022800 3678778500 4414534200 4905038000 5518167750 7357557000 8829068400 11036335500 14715114000 22072671000 44145342000