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442431100010412 = 2232471213215568097
BaseRepresentation
bin110010010011000111000010…
…0100011011011111110101100
32011000112000000001202120101200
41210212032010203123332230
5430442242343100313122
64204550012541405500
7162122410050102432
oct14446160443337654
92130460001676350
10442431100010412
11118a76a80889a97
1241756140269890
1315cb40c5c35626
147b37acad22d52
1536239acbd45ac
hex19263848dbfac

442431100010412 has 72 divisors (see below), whose sum is σ = 1143104162805696. Its totient is φ = 144220229858304.

The previous prime is 442431100010407. The next prime is 442431100010461. The reversal of 442431100010412 is 214010001134244.

442431100010412 is a `hidden beast` number, since 4 + 4 + 243 + 1 + 1 + 0 + 0 + 0 + 1 + 0 + 412 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105731653 + ... + 109836444.

Almost surely, 2442431100010412 is an apocalyptic number.

It is an amenable number.

442431100010412 is an abundant number, since it is smaller than the sum of its proper divisors (700673062795284).

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

442431100010412 is a wasteful number, since it uses less digits than its factorization.

442431100010412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215569367 (or 215569362 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 442431100010412 its reverse (214010001134244), we get a palindrome (656441101144656).

The spelling of 442431100010412 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1213 1692 2426 3639 4852 7278 10917 14556 21834 43668 57011 114022 171033 228044 342066 513099 684132 1026198 2052396 215568097 431136194 646704291 862272388 1293408582 1940112873 2586817164 3880225746 7760451492 10131700559 20263401118 30395101677 40526802236 60790203354 91185305031 121580406708 182370610062 261484101661 364741220124 522968203322 784452304983 1045936406644 1568904609966 2353356914949 3137809219932 4706713829898 9413427659796 12289752778067 24579505556134 36869258334201 49159011112268 73738516668402 110607775002603 147477033336804 221215550005206 442431100010412