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243142220000 = 255430374003
BaseRepresentation
bin1110001001110001100…
…1111101100011100000
3212020120222222112111102
43202130121331203200
512440423402020000
6303410433333532
723365201525031
oct3423431754340
9766528875442
10243142220000
1194130498679
123b157a072a8
1319c0b38c8c4
14baa7b16a88
1564d0c443d5
hex389c67d8e0

243142220000 has 120 divisors (see below), whose sum is σ = 598512770856. Its totient is φ = 97200576000.

The previous prime is 243142219997. The next prime is 243142220017. The reversal of 243142220000 is 22241342.

243142220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60737999 + ... + 60742001.

Almost surely, 2243142220000 is an apocalyptic number.

243142220000 is a gapful number since it is divisible by the number (20) 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 243142220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299256385428).

243142220000 is an abundant number, since it is smaller than the sum of its proper divisors (355370550856).

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

243142220000 is an equidigital number, since it uses as much as digits as its factorization.

243142220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 243142220000 its reverse (22241342), we get a palindrome (243164461342).

The spelling of 243142220000 in words is "two hundred forty-three billion, one hundred forty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3037 4000 4003 5000 6074 8006 10000 12148 15185 16012 20000 20015 24296 30370 32024 40030 48592 60740 64048 75925 80060 97184 100075 121480 128096 151850 160120 200150 242960 303700 320240 379625 400300 485920 500375 607400 640480 759250 800600 1000750 1214800 1518500 1601200 1898125 2001500 2429600 2501875 3037000 3202400 3796250 4003000 5003750 6074000 7592500 8006000 10007500 12148000 12157111 15185000 16012000 20015000 24314222 30370000 40030000 48628444 60740000 60785555 80060000 97256888 121571110 194513776 243142220 303927775 389027552 486284440 607855550 972568880 1215711100 1519638875 1945137760 2431422200 3039277750 4862844400 6078555500 7598194375 9725688800 12157111000 15196388750 24314222000 30392777500 48628444000 60785555000 121571110000 243142220000