Search a number
-
+
44443135000 = 235411887911
BaseRepresentation
bin101001011001000001…
…000110110000011000
311020201022121011220001
4221121001012300120
51212004420310000
632230014342344
73132225262105
oct513101066030
9136638534801
1044443135000
1117936a9a140
128743aba9b4
134263739024
142218713aac
151251ae146a
hexa59046c18

44443135000 has 160 divisors (see below), whose sum is σ = 113849556480. Its totient is φ = 16125200000.

The previous prime is 44443134979. The next prime is 44443135039. The reversal of 44443135000 is 53134444.

It is a self number, because there is not a number n which added to its sum of digits gives 44443135000.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 48784545 + ... + 48785455.

It is an arithmetic number, because the mean of its divisors is an integer number (711559728).

Almost surely, 244443135000 is an apocalyptic number.

44443135000 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 44443135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56924778240).

44443135000 is an abundant number, since it is smaller than the sum of its proper divisors (69406421480).

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

44443135000 is a wasteful number, since it uses less digits than its factorization.

44443135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 44443135000 its reverse (53134444), we get a palindrome (44496269444).

The spelling of 44443135000 in words is "forty-four billion, four hundred forty-three million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 887 911 1000 1100 1250 1375 1774 1822 2200 2500 2750 3548 3644 4435 4555 5000 5500 6875 7096 7288 8870 9110 9757 10021 11000 13750 17740 18220 19514 20042 22175 22775 27500 35480 36440 39028 40084 44350 45550 48785 50105 55000 78056 80168 88700 91100 97570 100210 110875 113875 177400 182200 195140 200420 221750 227750 243925 250525 390280 400840 443500 455500 487850 501050 554375 569375 808057 887000 911000 975700 1002100 1108750 1138750 1219625 1252625 1616114 1951400 2004200 2217500 2277500 2439250 2505250 3232228 4040285 4435000 4555000 4878500 5010500 6098125 6263125 6464456 8080570 8888627 9757000 10021000 12196250 12526250 16161140 17777254 20201425 24392500 25052500 32322280 35554508 40402850 44443135 48785000 50105000 71109016 80805700 88886270 101007125 161611400 177772540 202014250 222215675 355545080 404028500 444431350 505035625 808057000 888862700 1010071250 1111078375 1777725400 2020142500 2222156750 4040285000 4444313500 5555391875 8888627000 11110783750 22221567500 44443135000