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444230304021 = 3573743316301
BaseRepresentation
bin1100111011011100011…
…00001000000100010101
31120110122011200121200000
412131232030020010111
524234240424212041
6540024313041513
744044304165460
oct6355614100425
91513564617600
10444230304021
11161440475469
12721179b6299
1332b76c49a7a
14177025142d7
15b84e998bb6
hex676e308115

444230304021 has 96 divisors (see below), whose sum is σ = 782898724608. Its totient is φ = 246399667200.

The previous prime is 444230303969. The next prime is 444230304047. The reversal of 444230304021 is 120403032444.

It is a happy number.

It is not a de Polignac number, because 444230304021 - 219 = 444229779733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444230354021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27243571 + ... + 27259871.

It is an arithmetic number, because the mean of its divisors is an integer number (8155195048).

Almost surely, 2444230304021 is an apocalyptic number.

It is an amenable number.

444230304021 is a deficient number, since it is larger than the sum of its proper divisors (338668420587).

444230304021 is a wasteful number, since it uses less digits than its factorization.

444230304021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16793 (or 16781 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444230304021 its reverse (120403032444), we get a palindrome (564633336465).

The spelling of 444230304021 in words is "four hundred forty-four billion, two hundred thirty million, three hundred four thousand, twenty-one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 243 259 333 433 567 777 999 1299 1701 2331 2997 3031 3897 6993 8991 9093 11691 16021 16301 20979 27279 35073 48063 48903 62937 81837 105219 112147 114107 144189 146709 245511 336441 342321 432567 440127 603137 736533 1009323 1026963 1297701 1320381 1809411 3027969 3080889 3893103 3961143 4221959 5428233 7058333 9083907 9242667 12665877 16284699 21174999 27251721 27728001 37997631 48854097 49408331 63524997 113992893 146562291 148224993 190574991 261158321 341978679 444674979 571724973 783474963 1025936037 1334024937 1715174919 1828108247 2350424889 4002074811 5484324741 7051274667 12006224433 16452974223 21153824001 49358922669 63461472003 148076768007 444230304021