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204220040441020 = 225379713121718189
BaseRepresentation
bin101110011011110010101110…
…111101110110110010111100
3222210002020121202020022220021
4232123302232331312302330
5203231420120323103040
62002201220313501524
761005260660234452
oct5633625675666274
9883066552208807
10204220040441020
115a08626190706a
121aaa32664118a4
1389c4b372708b6
1438604348569d2
151892372a7724a
hexb9bcaef76cbc

204220040441020 has 96 divisors (see below), whose sum is σ = 448390623320640. Its totient is φ = 78060380037120.

The previous prime is 204220040441017. The next prime is 204220040441059. The reversal of 204220040441020 is 20144040022402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455915 + ... + 20262274.

It is an arithmetic number, because the mean of its divisors is an integer number (4670735659590).

Almost surely, 2204220040441020 is an apocalyptic number.

204220040441020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204220040441020 is an abundant number, since it is smaller than the sum of its proper divisors (244170582879620).

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

204220040441020 is a wasteful number, since it uses less digits than its factorization.

204220040441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21718463 (or 21718461 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 204220040441020 its reverse (20144040022402), we get a palindrome (224364080463422).

The spelling of 204220040441020 in words is "two hundred four trillion, two hundred twenty billion, forty million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 97 131 148 185 194 262 370 388 485 524 655 740 970 1310 1940 2620 3589 4847 7178 9694 12707 14356 17945 19388 24235 25414 35890 48470 50828 63535 71780 96940 127070 254140 470159 940318 1880636 2350795 4701590 9403180 21718189 43436378 86872756 108590945 217181890 434363780 803572993 1607145986 2106664333 2845082759 3214291972 4017864965 4213328666 5690165518 8035729930 8426657332 10533321665 11380331036 14225413795 16071459860 21066643330 28450827590 42133286660 56901655180 77946580321 105268062083 155893160642 210536124166 275973027623 311786321284 389732901605 421072248332 526340310415 551946055246 779465803210 1052680620830 1103892110492 1379865138115 1558931606420 2105361241660 2759730276230 5519460552460 10211002022051 20422004044102 40844008088204 51055010110255 102110020220510 204220040441020