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43035140000 = 255419311149
BaseRepresentation
bin101000000101000110…
…000001111110100000
311010002012012121212002
4220011012001332200
51201113443440000
631434200223132
73052310440316
oct500506017640
9133065177762
1043035140000
111728423a706
12841046aaa8
13409ab1b4a8
1421237200b6
1511bd1bc8d5
hexa05181fa0

43035140000 has 120 divisors (see below), whose sum is σ = 106431009300. Its totient is φ = 17123328000.

The previous prime is 43035139981. The next prime is 43035140003. The reversal of 43035140000 is 4153034.

It can be written as a sum of positive squares in 10 ways, for example, as 10616417296 + 32418722704 = 103036^2 + 180052^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (43035140003) 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 19 ways as a sum of consecutive naturals, for example, 3854426 + ... + 3865574.

Almost surely, 243035140000 is an apocalyptic number.

43035140000 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 43035140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53215504650).

43035140000 is an abundant number, since it is smaller than the sum of its proper divisors (63395869300).

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

43035140000 is a wasteful number, since it uses less digits than its factorization.

43035140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 43035140000 its reverse (4153034), we get a palindrome (43039293034).

The spelling of 43035140000 in words is "forty-three billion, thirty-five million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 625 772 800 965 1000 1250 1544 1930 2000 2500 3088 3860 4000 4825 5000 6176 7720 9650 10000 11149 15440 19300 20000 22298 24125 30880 38600 44596 48250 55745 77200 89192 96500 111490 120625 154400 178384 193000 222980 241250 278725 356768 386000 445960 482500 557450 772000 891920 965000 1114900 1393625 1783840 1930000 2151757 2229800 2787250 3860000 4303514 4459600 5574500 6968125 8607028 8919200 10758785 11149000 13936250 17214056 21517570 22298000 27872500 34428112 43035140 44596000 53793925 55745000 68856224 86070280 107587850 111490000 172140560 215175700 222980000 268969625 344281120 430351400 537939250 860702800 1075878500 1344848125 1721405600 2151757000 2689696250 4303514000 5379392500 8607028000 10758785000 21517570000 43035140000