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444202134432432 = 24315641591663649
BaseRepresentation
bin110010011111111111101111…
…0011011100110101010110000
32011020210022100111110220201220
41210333333132123212222300
5431210301432403314212
64212423350551425040
7162364354662232335
oct14477773633465260
92136708314426656
10444202134432432
1111959a08161a182
12419a1424085180
13160b210a1b557c
147b996d87d498c
153654ab484438c
hex193ffde6e6ab0

444202134432432 has 40 divisors (see below), whose sum is σ = 1147595548849200. Its totient is φ = 148057911275520.

The previous prime is 444202134432391. The next prime is 444202134432457. The reversal of 444202134432432 is 234234431202444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295081057 + ... + 296582592.

It is an arithmetic number, because the mean of its divisors is an integer number (28689888721230).

Almost surely, 2444202134432432 is an apocalyptic number.

It is an amenable number.

444202134432432 is an abundant number, since it is smaller than the sum of its proper divisors (703393414416768).

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

444202134432432 is a wasteful number, since it uses less digits than its factorization.

444202134432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591679301 (or 591679295 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 444202134432432 its reverse (234234431202444), we get a palindrome (678436565634876).

The spelling of 444202134432432 in words is "four hundred forty-four trillion, two hundred two billion, one hundred thirty-four million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 15641 31282 46923 62564 93846 125128 187692 250256 375384 750768 591663649 1183327298 1774990947 2366654596 3549981894 4733309192 7099963788 9466618384 14199927576 28399855152 9254211134009 18508422268018 27762633402027 37016844536036 55525266804054 74033689072072 111050533608108 148067378144144 222101067216216 444202134432432