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204044132143420 = 225311733697514561
BaseRepresentation
bin101110011001001110111010…
…000000111101000100111100
3222202110102120101201221010221
4232121032322000331010330
5203221024340312042140
62001544325200311124
760656462544334042
oct5631167200750474
9882412511657127
10204044132143420
115a0186a31a2518
121aa751530124a4
1389b138224783a
143855b08242392
15188c9c96aa14a
hexb993ba03d13c

204044132143420 has 96 divisors (see below), whose sum is σ = 444992954144256. Its totient is φ = 78506872012800.

The previous prime is 204044132143417. The next prime is 204044132143427. The reversal of 204044132143420 is 24341231440402.

204044132143420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2040441321434202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204044132143427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396282940 + ... + 396797500.

It is an arithmetic number, because the mean of its divisors is an integer number (4635343272336).

Almost surely, 2204044132143420 is an apocalyptic number.

204044132143420 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 204044132143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222496477072128).

204044132143420 is an abundant number, since it is smaller than the sum of its proper divisors (240948822000836).

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

204044132143420 is a wasteful number, since it uses less digits than its factorization.

204044132143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518471 (or 518469 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 204044132143420 its reverse (24341231440402), we get a palindrome (228385363583822).

The spelling of 204044132143420 in words is "two hundred four trillion, forty-four billion, one hundred thirty-two million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 173 310 346 620 692 865 1730 3460 3697 5363 7394 10726 14788 18485 21452 26815 36970 53630 73940 107260 114607 229214 458428 514561 573035 639581 1029122 1146070 1279162 2058244 2292140 2558324 2572805 3197905 5145610 6395810 10291220 12791620 15951391 19827011 31902782 39654022 63805564 79308044 79756955 89019053 99135055 159513910 178038106 198270110 319027820 356076212 396540220 445095265 890190530 1780381060 1902332017 2759590643 3804664034 5519181286 7609328068 9511660085 11038362572 13797953215 19023320170 27595906430 38046640340 55191812860 58972292527 117944585054 235889170108 294861462635 329103438941 589722925270 658206877882 1179445850540 1316413755764 1645517194705 3291034389410 6582068778820 10202206607171 20404413214342 40808826428684 51011033035855 102022066071710 204044132143420