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442421410301444 = 227571131701210113
BaseRepresentation
bin110010010011000010100001…
…1000000001000011000000100
32011000111001222202212100112202
41210212011003000020120010
5430442113022014121234
64204541331241334032
7162121614660661160
oct14446050300103004
92130431882770482
10442421410301444
11118a72959238252
1241754297197318
1315cb321060a122
147b3744c091ca0
1536235e21b977e
hex1926143008604

442421410301444 has 48 divisors (see below), whose sum is σ = 886403406784896. Its totient is φ = 189274772736000.

The previous prime is 442421410301443. The next prime is 442421410301543. The reversal of 442421410301444 is 444103014124244.

It is a junction number, because it is equal to n+sod(n) for n = 442421410301398 and 442421410301407.

It is not an unprimeable number, because it can be changed into a prime (442421410301443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105530532 + ... + 2105740644.

It is an arithmetic number, because the mean of its divisors is an integer number (18466737641352).

Almost surely, 2442421410301444 is an apocalyptic number.

It is an amenable number.

442421410301444 is an abundant number, since it is smaller than the sum of its proper divisors (443981996483452).

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

442421410301444 is a wasteful number, since it uses less digits than its factorization.

442421410301444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342396 (or 342394 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

Adding to 442421410301444 its reverse (444103014124244), we get a palindrome (886524424425688).

The spelling of 442421410301444 in words is "four hundred forty-two trillion, four hundred twenty-one billion, four hundred ten million, three hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 571 1142 2284 3997 7994 15988 131701 210113 263402 420226 526804 840452 921907 1470791 1843814 2941582 3687628 5883164 75201271 119974523 150402542 239949046 300805084 479898092 526408897 839821661 1052817794 1679643322 2105635588 3359286644 27672092213 55344184426 110688368852 193704645491 387409290982 774818581964 15800764653623 31601529307246 63203058614492 110605352575361 221210705150722 442421410301444