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204421203114444 = 223253146983728921
BaseRepresentation
bin101110011110101110000101…
…001100100011100111001100
3222210210110212010021221111100
4232132232011030203213030
5203243214110444130234
62002433445420023100
761025641656605061
oct5636560514434714
9883713763257440
10204421203114444
115a1535aa9a9a98
121ab16247391a90
138a0aab54154c4
14386a07910cc68
1518976e8112399
hexb9eb853239cc

204421203114444 has 72 divisors (see below), whose sum is σ = 526485327312672. Its totient is φ = 66854186530560.

The previous prime is 204421203114397. The next prime is 204421203114449. The reversal of 204421203114444 is 444411302124402.

204421203114444 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 1 + 203 + 1 + 1 + 4 + 444 = 666.

It is a super-2 number, since 2×2044212031144442 (a number of 29 digits) contains 22 as substring.

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 = 204421203114399 and 204421203114408.

It is not an unprimeable number, because it can be changed into a prime (204421203114449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280079104 + ... + 280808024.

It is an arithmetic number, because the mean of its divisors is an integer number (7312296212676).

Almost surely, 2204421203114444 is an apocalyptic number.

It is an amenable number.

204421203114444 is an abundant number, since it is smaller than the sum of its proper divisors (322064124198228).

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

204421203114444 is a wasteful number, since it uses less digits than its factorization.

204421203114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875967 (or 875962 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 204421203114444 its reverse (444411302124402), we get a palindrome (648832505238846).

The spelling of 204421203114444 in words is "two hundred four trillion, four hundred twenty-one billion, two hundred three million, one hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 146983 293966 440949 587932 728921 881898 1322847 1457842 1763796 2186763 2645694 2915684 4373526 5291388 6560289 7790099 8747052 13120578 15580198 23370297 26241156 31160396 38632813 46740594 70110891 77265626 93481188 115898439 140221782 154531252 231796878 280443564 347695317 463593756 695390634 1390781268 107138995343 214277990686 321416986029 428555981372 642833972058 964250958087 1285667944116 1928501916174 3857003832348 5678366753179 11356733506358 17035100259537 22713467012716 34070200519074 51105300778611 68140401038148 102210601557222 204421203114444