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444201433424 = 2472566583461
BaseRepresentation
bin1100111011011000111…
…01111111100101010000
31120110120011100211122122
412131230131333211100
524234211031332144
6540021402153412
744043503612600
oct6355435774520
91513504324578
10444201433424
11161426146571
127210a1b2868
1332b70c7bb88
14176dc75ac00
15b84c1947ee
hex676c77f950

444201433424 has 30 divisors (see below), whose sum is σ = 1001152977354. Its totient is φ = 190372042560.

The previous prime is 444201433387. The next prime is 444201433427. The reversal of 444201433424 is 424334102444.

It can be written as a sum of positive squares in only one way, i.e., 443865077824 + 336355600 = 666232^2 + 18340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444201433427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283290947 + ... + 283292514.

Almost surely, 2444201433424 is an apocalyptic number.

It is an amenable number.

444201433424 is an abundant number, since it is smaller than the sum of its proper divisors (556951543930).

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

444201433424 is a wasteful number, since it uses less digits than its factorization.

444201433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566583483 (or 566583470 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 444201433424 its reverse (424334102444), we get a palindrome (868535535868).

The spelling of 444201433424 in words is "four hundred forty-four billion, two hundred one million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 566583461 1133166922 2266333844 3966084227 4532667688 7932168454 9065335376 15864336908 27762589589 31728673816 55525179178 63457347632 111050358356 222100716712 444201433424