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444024640444 = 227211205948349
BaseRepresentation
bin1100111011000011110…
…11100101001110111100
31120110002211200211021111
412131201323211032330
524233330301443234
6535552045011404
744036226112300
oct6354173451674
91513084624244
10444024640444
11161345374370
127207ab53b64
1332b4345b948
14176c3099d00
15b83b8c1664
hex6761ee53bc

444024640444 has 36 divisors (see below), whose sum is σ = 986080699800. Its totient is φ = 172996612320.

The previous prime is 444024640379. The next prime is 444024640453. The reversal of 444024640444 is 444046420444.

It is a super-3 number, since 3×4440246404443 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444024640397 and 444024640406.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102972019 + ... + 102976330.

It is an arithmetic number, because the mean of its divisors is an integer number (27391130550).

Almost surely, 2444024640444 is an apocalyptic number.

444024640444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444024640444 is an abundant number, since it is smaller than the sum of its proper divisors (542056059356).

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

444024640444 is a wasteful number, since it uses less digits than its factorization.

444024640444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205948378 (or 205948369 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

The spelling of 444024640444 in words is "four hundred forty-four billion, twenty-four million, six hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 205948349 411896698 823793396 1441638443 2265431839 2883276886 4530863678 5766553772 9061727356 10091469101 15858022873 20182938202 31716045746 40365876404 63432091492 111006160111 222012320222 444024640444