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204144223014400 = 295215948767423
BaseRepresentation
bin101110011010101100000111…
…111001010100111000000000
3222202210222220220100222221111
4232122230013321110320000
5203224144332042430100
62002102321131133104
760666635103603364
oct5632540771247000
9882728826328844
10204144223014400
115a0570959542a9
121aa906272a4194
1389ba943822796
14385a8c13992a4
1518903d68946ba
hexb9ab07e54e00

204144223014400 has 60 divisors (see below), whose sum is σ = 505783261317312. Its totient is φ = 81657689200640.

The previous prime is 204144223014367. The next prime is 204144223014401. The reversal of 204144223014400 is 4410322441402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204144223014401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7974370912 + ... + 7974396511.

Almost surely, 2204144223014400 is an apocalyptic number.

204144223014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204144223014400 is an abundant number, since it is smaller than the sum of its proper divisors (301639038302912).

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

204144223014400 is an equidigital number, since it uses as much as digits as its factorization.

204144223014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15948767451 (or 15948767430 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 204144223014400 its reverse (4410322441402), we get a palindrome (208554545455802).

The spelling of 204144223014400 in words is "two hundred four trillion, one hundred forty-four billion, two hundred twenty-three million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 15948767423 31897534846 63795069692 79743837115 127590139384 159487674230 255180278768 318975348460 398719185575 510360557536 637950696920 797438371150 1020721115072 1275901393840 1594876742300 2041442230144 2551802787680 3189753484600 4082884460288 5103605575360 6379506969200 8165768920576 10207211150720 12759013938400 20414422301440 25518027876800 40828844602880 51036055753600 102072111507200 204144223014400