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444121143143140 = 22559332137426717
BaseRepresentation
bin110010011111011010000001…
…0111110010110101011100100
32011020111120022002002010110201
41210332310002332112223210
5431202440100121040030
64212322234143200244
7162355456642516441
oct14476640276265344
92136446262063421
10444121143143140
111195687a00a9851
12419897a02a6084
13160a75a08a3358
147b958141389c8
1536529243152ca
hex193ed02f96ae4

444121143143140 has 24 divisors (see below), whose sum is σ = 932655997442232. Its totient is φ = 177648153096960.

The previous prime is 444121143143099. The next prime is 444121143143239. The reversal of 444121143143140 is 41341341121444.

It can be written as a sum of positive squares in 4 ways, for example, as 15461551965924 + 428659591177216 = 3932118^2 + 20704096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444121143143140.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6846939 + ... + 30579778.

It is an arithmetic number, because the mean of its divisors is an integer number (38860666560093).

Almost surely, 2444121143143140 is an apocalyptic number.

It is an amenable number.

444121143143140 is an abundant number, since it is smaller than the sum of its proper divisors (488534854299092).

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

444121143143140 is a wasteful number, since it uses less digits than its factorization.

444121143143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38020047 (or 38020045 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 444121143143140 its reverse (41341341121444), we get a palindrome (485462484264584).

The spelling of 444121143143140 in words is "four hundred forty-four trillion, one hundred twenty-one billion, one hundred forty-three million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 593321 1186642 2373284 2966605 5933210 11866420 37426717 74853434 149706868 187133585 374267170 748534340 22206057157157 44412114314314 88824228628628 111030285785785 222060571571570 444121143143140