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204044404232340 = 223257161940003359
BaseRepresentation
bin101110011001001111001010…
…001110111001000010010100
3222202110110021100201110222100
4232121033022032321002110
5203221030414440413330
62001544412200202100
760656502360135150
oct5631171216710224
9882413240643870
10204044404232340
115a0188228429a1
121aa7520a169330
1389b13c67223b9
143855b3242c060
15188c9e3504060
hexb993ca3b9094

204044404232340 has 72 divisors (see below), whose sum is σ = 707353934676480. Its totient is φ = 46638720967104.

The previous prime is 204044404232327. The next prime is 204044404232359. The reversal of 204044404232340 is 43232404440402.

204044404232340 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 44 + 40 + 4 + 232 + 340 = 666.

204044404232340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 204044404232295 and 204044404232304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80970000420 + ... + 80970002939.

It is an arithmetic number, because the mean of its divisors is an integer number (9824360203840).

Almost surely, 2204044404232340 is an apocalyptic number.

204044404232340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204044404232340 is an abundant number, since it is smaller than the sum of its proper divisors (503309530444140).

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

204044404232340 is a wasteful number, since it uses less digits than its factorization.

204044404232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161940003381 (or 161940003376 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 204044404232340 its reverse (43232404440402), we get a palindrome (247276808672742).

The spelling of 204044404232340 in words is "two hundred four trillion, forty-four billion, four hundred four million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 161940003359 323880006718 485820010077 647760013436 809700016795 971640020154 1133580023513 1457460030231 1619400033590 1943280040308 2267160047026 2429100050385 2914920060462 3238800067180 3400740070539 4534320094052 4858200100770 5667900117565 5829840120924 6801480141078 7287300151155 9716400201540 10202220211617 11335800235130 13602960282156 14574600302310 17003700352695 20404440423234 22671600470260 29149200604620 34007400705390 40808880846468 51011101058085 68014801410780 102022202116170 204044404232340