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4021410444309 = 3347109149195121
BaseRepresentation
bin111010100001001110101…
…111011011010000010101
3112020102222000012222001000
4322201032233123100111
51011341322033204214
612315224354053513
7563352204532416
oct72411657332025
915212860188030
104021410444309
11131051a3a3345
1254b46227a299
132322a976a9ab
14dc8cca9580d
156e915980809
hex3a84ebdb415

4021410444309 has 64 divisors (see below), whose sum is σ = 6181464960000. Its totient is φ = 2582364810240.

The previous prime is 4021410444253. The next prime is 4021410444323. The reversal of 4021410444309 is 9034440141204.

It is a happy number.

4021410444309 is a `hidden beast` number, since 4 + 0 + 214 + 1 + 0 + 4 + 4 + 430 + 9 = 666.

It is not a de Polignac number, because 4021410444309 - 213 = 4021410436117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021410444409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20512269 + ... + 20707389.

It is an arithmetic number, because the mean of its divisors is an integer number (96585390000).

Almost surely, 24021410444309 is an apocalyptic number.

It is an amenable number.

4021410444309 is a deficient number, since it is larger than the sum of its proper divisors (2160054515691).

4021410444309 is a wasteful number, since it uses less digits than its factorization.

4021410444309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195435 (or 195429 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4021410444309 in words is "four trillion, twenty-one billion, four hundred ten million, four hundred forty-four thousand, three hundred nine".

Divisors: 1 3 9 27 47 109 141 149 327 423 447 981 1269 1341 2943 4023 5123 7003 15369 16241 21009 46107 48723 63027 138321 146169 189081 195121 438507 585363 763327 1756089 2289981 5268267 6869943 9170687 20609829 21268189 27512061 29073029 63804567 82536183 87219087 191413701 247608549 261657261 574241103 784971783 999604883 1366432363 2998814649 3168960161 4099297089 8996443947 9506880483 12297891267 26989331841 28520641449 36893673801 85561924347 148941127567 446823382701 1340470148103 4021410444309