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204004244400 = 243521115454867
BaseRepresentation
bin1011110111111110011…
…0011011101110110000
3201111120101222101011120
42331333212123232300
511320300041310100
6233415050542240
720511262315635
oct2757746335660
9644511871146
10204004244400
11795770942a0
1233654737980
1316311a98768
149c33c1c18c
15548ec870a0
hex2f7f99bbb0

204004244400 has 120 divisors (see below), whose sum is σ = 712902151104. Its totient is φ = 49455571200.

The previous prime is 204004244383. The next prime is 204004244459. The reversal of 204004244400 is 4442400402.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7714234 + ... + 7740633.

Almost surely, 2204004244400 is an apocalyptic number.

204004244400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204004244400 is an abundant number, since it is smaller than the sum of its proper divisors (508897906704).

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

204004244400 is a wasteful number, since it uses less digits than its factorization.

204004244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15454899 (or 15454888 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 204004244400 its reverse (4442400402), we get a palindrome (208446644802).

The spelling of 204004244400 in words is "two hundred four billion, four million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 15454867 30909734 46364601 61819468 77274335 92729202 123638936 154548670 170003537 185458404 231823005 247277872 309097340 340007074 370916808 386371675 463646010 510010611 618194680 680014148 741833616 772743350 850017685 927292020 1020021222 1159115025 1236389360 1360028296 1545486700 1700035370 1854584040 2040042444 2318230050 2550053055 2720056592 3090973400 3400070740 3709168080 4080084888 4250088425 4636460100 5100106110 6181946800 6800141480 8160169776 8500176850 9272920200 10200212220 12750265275 13600282960 17000353700 18545840400 20400424440 25500530550 34000707400 40800848880 51001061100 68001414800 102002122200 204004244400