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204234320043144 = 23331071188276469
BaseRepresentation
bin101110011100000000000010…
…000110001101110010001000
3222210010121110220211021111000
4232130000002012031302020
5203232133341412340034
62002211541255135000
761006304561655516
oct5634000206156210
9883117426737430
10204234320043144
115a09131a317536
121aaa5b90674460
1389c62a1788001
143860dcb1134b6
15189290b4da599
hexb9c00218dc88

204234320043144 has 64 divisors (see below), whose sum is σ = 567370527984000. Its totient is φ = 68071750004160.

The previous prime is 204234320043121. The next prime is 204234320043157. The reversal of 204234320043144 is 441340023432402.

204234320043144 is a `hidden beast` number, since 2 + 0 + 42 + 3 + 432 + 0 + 0 + 43 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204234320043099 and 204234320043108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41824659 + ... + 46451810.

It is an arithmetic number, because the mean of its divisors is an integer number (8865164499750).

Almost surely, 2204234320043144 is an apocalyptic number.

204234320043144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204234320043144 is an abundant number, since it is smaller than the sum of its proper divisors (363136207940856).

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

204234320043144 is a wasteful number, since it uses less digits than its factorization.

204234320043144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88287195 (or 88287185 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 204234320043144 its reverse (441340023432402), we get a palindrome (645574343475546).

The spelling of 204234320043144 in words is "two hundred four trillion, two hundred thirty-four billion, three hundred twenty million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10711 21422 32133 42844 64266 85688 96399 128532 192798 257064 289197 385596 578394 771192 1156788 2313576 88276469 176552938 264829407 353105876 529658814 706211752 794488221 1059317628 1588976442 2118635256 2383464663 3177952884 4766929326 6355905768 9533858652 19067717304 945529259459 1891058518918 2836587778377 3782117037836 5673175556754 7564234075672 8509763335131 11346351113508 17019526670262 22692702227016 25529290005393 34039053340524 51058580010786 68078106681048 102117160021572 204234320043144