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204313243440 = 24354120763541
BaseRepresentation
bin1011111001001000000…
…1001010111100110000
3201112100221102011011110
42332102001022330300
511321413142242230
6233505445513320
720522033625525
oct2762201127460
9645327364143
10204313243440
11797155548a9
1233720112840
1316360ac7627
149c62c9514c
1554abe724b0
hex2f9204af30

204313243440 has 80 divisors (see below), whose sum is σ = 648819160416. Its totient is φ = 53154662400.

The previous prime is 204313243439. The next prime is 204313243447. The reversal of 204313243440 is 44342313402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204313243398 and 204313243407.

It is not an unprimeable number, because it can be changed into a prime (204313243447) 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 15 ways as a sum of consecutive naturals, for example, 10371931 + ... + 10391610.

Almost surely, 2204313243440 is an apocalyptic number.

204313243440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204313243440 is an abundant number, since it is smaller than the sum of its proper divisors (444505916976).

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

204313243440 is a wasteful number, since it uses less digits than its factorization.

204313243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20763598 (or 20763592 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 204313243440 its reverse (44342313402), we get a palindrome (248655556842).

The spelling of 204313243440 in words is "two hundred four billion, three hundred thirteen million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 20763541 41527082 62290623 83054164 103817705 124581246 166108328 207635410 249162492 311453115 332216656 415270820 498324984 622906230 830541640 851305181 996649968 1245812460 1661083280 1702610362 2491624920 2553915543 3405220724 4256525905 4983249840 5107831086 6810441448 8513051810 10215662172 12769577715 13620882896 17026103620 20431324344 25539155430 34052207240 40862648688 51078310860 68104414480 102156621720 204313243440