Search a number
-
+
41024140000 = 25543316197
BaseRepresentation
bin100110001101001110…
…101011001011100000
310220220001011020110121
4212031032223023200
51133004134440000
630502441410024
72651421302464
oct461516531340
9126801136417
1041024140000
111644206a638
127b4aa99914
133b3a2c236c
141db26004a4
151101885b1a
hex98d3ab2e0

41024140000 has 120 divisors (see below), whose sum is σ = 101246784408. Its totient is φ = 16357440000.

The previous prime is 41024139991. The next prime is 41024140007. The reversal of 41024140000 is 4142014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41024140007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6616902 + ... + 6623098.

Almost surely, 241024140000 is an apocalyptic number.

41024140000 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 41024140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50623392204).

41024140000 is an abundant number, since it is smaller than the sum of its proper divisors (60222644408).

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

41024140000 is an equidigital number, since it uses as much as digits as its factorization.

41024140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 41024140000 its reverse (4142014), we get a palindrome (41028282014).

It can be divided in two parts, 410241 and 40000, that added together give a square (450241 = 6712).

The spelling of 41024140000 in words is "forty-one billion, twenty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 331 400 500 625 662 800 1000 1250 1324 1655 2000 2500 2648 3310 4000 5000 5296 6197 6620 8275 10000 10592 12394 13240 16550 20000 24788 26480 30985 33100 41375 49576 52960 61970 66200 82750 99152 123940 132400 154925 165500 198304 206875 247880 264800 309850 331000 413750 495760 619700 662000 774625 827500 991520 1239400 1324000 1549250 1655000 2051207 2478800 3098500 3310000 3873125 4102414 4957600 6197000 6620000 7746250 8204828 10256035 12394000 15492500 16409656 20512070 24788000 30985000 32819312 41024140 51280175 61970000 65638624 82048280 102560350 123940000 164096560 205120700 256400875 328193120 410241400 512801750 820482800 1025603500 1282004375 1640965600 2051207000 2564008750 4102414000 5128017500 8204828000 10256035000 20512070000 41024140000