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243024244000 = 255361996001
BaseRepresentation
bin1110001001010101011…
…1111010110100100000
3212020021202222201211221
43202111113322310200
512440203201302000
6303351020544424
723362236663466
oct3422527726440
9766252881757
10243024244000
119407a93954a
123b1243b2114
1319bbcac4015
14ba961a6836
1564c56dd61a
hex38955fad20

243024244000 has 96 divisors (see below), whose sum is σ = 606899874672. Its totient is φ = 95616000000.

The previous prime is 243024243989. The next prime is 243024244003. The reversal of 243024244000 is 442420342.

243024244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27754227216 + 215270016784 = 166596^2 + 463972^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (243024244003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 254001 + ... + 742000.

Almost surely, 2243024244000 is an apocalyptic number.

243024244000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243024244000 is an abundant number, since it is smaller than the sum of its proper divisors (363875630672).

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

243024244000 is an equidigital number, since it uses as much as digits as its factorization.

243024244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996087 (or 996069 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 243024244000 its reverse (442420342), we get a palindrome (243466664342).

The spelling of 243024244000 in words is "two hundred forty-three billion, twenty-four million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4880 6100 7625 9760 12200 15250 24400 30500 48800 61000 122000 244000 996001 1992002 3984004 4980005 7968008 9960010 15936016 19920020 24900025 31872032 39840040 49800050 60756061 79680080 99600100 121512122 124500125 159360160 199200200 243024244 249000250 303780305 398400400 486048488 498000500 607560610 796800800 972096976 996001000 1215121220 1518901525 1944193952 1992002000 2430242440 3037803050 3984004000 4860484880 6075606100 7594507625 9720969760 12151212200 15189015250 24302424400 30378030500 48604848800 60756061000 121512122000 243024244000