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204310404341200 = 24524725214310819
BaseRepresentation
bin101110011101000110111001…
…000100110001110111010000
3222210101212212100212002020001
4232131012321010301313100
5203234410202002404300
62002310523133455344
761014640165560463
oct5635067104616720
9883355770762201
10204310404341200
115a110612986803
121aab8885041554
138a005085a4c11
143864967bdd2da
1518948b0d3616a
hexb9d1b9131dd0

204310404341200 has 120 divisors (see below), whose sum is σ = 501498451509120. Its totient is φ = 79953603609600.

The previous prime is 204310404341191. The next prime is 204310404341293. The reversal of 204310404341200 is 2143404013402.

204310404341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45239391 + ... + 49550209.

It is an arithmetic number, because the mean of its divisors is an integer number (4179153762576).

Almost surely, 2204310404341200 is an apocalyptic number.

204310404341200 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 204310404341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250749225754560).

204310404341200 is an abundant number, since it is smaller than the sum of its proper divisors (297188047167920).

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

204310404341200 is a wasteful number, since it uses less digits than its factorization.

204310404341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313405 (or 4313394 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204310404341200 its reverse (2143404013402), we get a palindrome (206453808354602).

The spelling of 204310404341200 in words is "two hundred four trillion, three hundred ten billion, four hundred four million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 2521 3760 4700 5042 9400 10084 12605 18800 20168 25210 40336 50420 63025 100840 118487 126050 201680 236974 252100 473948 504200 592435 947896 1008400 1184870 1895792 2369740 2962175 4310819 4739480 5924350 8621638 9478960 11848700 17243276 21554095 23697400 34486552 43108190 47394800 68973104 86216380 107770475 172432760 202608493 215540950 344865520 405216986 431081900 810433972 862163800 1013042465 1620867944 1724327600 2026084930 3241735888 4052169860 5065212325 8104339720 10130424650 10867574699 16208679440 20260849300 21735149398 40521698600 43470298796 54337873495 81043397200 86940597592 108675746990 173881195184 217351493980 271689367475 434702987960 510776010853 543378734950 869405975920 1021552021706 1086757469900 2043104043412 2173514939800 2553880054265 4086208086824 4347029879600 5107760108530 8172416173648 10215520217060 12769400271325 20431040434120 25538800542650 40862080868240 51077601085300 102155202170600 204310404341200