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204504442340 = 225119729332707
BaseRepresentation
bin1011111001110101101…
…0100010010111100100
3201112212021012001202012
42332131122202113210
511322311114123330
6233540435533352
720526545035652
oct2763532422744
9645767161665
10204504442340
1179803476420
123377415a258
13163915bc983
149c80425dd2
1554bdb3dc95
hex2f9d6a25e4

204504442340 has 96 divisors (see below), whose sum is σ = 474960979584. Its totient is φ = 73345167360.

The previous prime is 204504442321. The next prime is 204504442349. The reversal of 204504442340 is 43244405402.

It is a junction number, because it is equal to n+sod(n) for n = 204504442297 and 204504442306.

It is not an unprimeable number, because it can be changed into a prime (204504442349) 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, 6236267 + ... + 6268973.

It is an arithmetic number, because the mean of its divisors is an integer number (4947510204).

Almost surely, 2204504442340 is an apocalyptic number.

204504442340 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 204504442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237480489792).

204504442340 is an abundant number, since it is smaller than the sum of its proper divisors (270456537244).

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

204504442340 is a wasteful number, since it uses less digits than its factorization.

204504442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33117 (or 33115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 204504442340 its reverse (43244405402), we get a palindrome (247748847742).

The spelling of 204504442340 in words is "two hundred four billion, five hundred four million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 293 388 485 586 970 1067 1172 1465 1940 2134 2930 3223 4268 5335 5860 6446 10670 12892 16115 21340 28421 32230 32707 56842 64460 65414 113684 130828 142105 163535 284210 312631 327070 359777 568420 625262 654140 719554 1250524 1439108 1563155 1798885 3126310 3172579 3597770 6252620 6345158 7195540 9583151 12690316 15862895 19166302 31725790 34898369 38332604 47915755 63451580 69796738 95831510 105414661 139593476 174491845 191663020 210829322 348983690 421658644 527073305 697967380 929565647 1054146610 1859131294 2108293220 3718262588 4647828235 9295656470 10225222117 18591312940 20450444234 40900888468 51126110585 102252221170 204504442340