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444200310050 = 252721731048013
BaseRepresentation
bin1100111011011000110…
…01101101010100100010
31120110120002020202200012
412131230121231110202
524234210234410200
6540021322124522
744043461223500
oct6355431552442
91513502222605
10444200310050
11161425549562
1272109950742
1332b70977763
14176dc547670
15b84c021a35
hex676c66d522

444200310050 has 72 divisors (see below), whose sum is σ = 966660865236. Its totient is φ = 151416773760.

The previous prime is 444200310041. The next prime is 444200310061. The reversal of 444200310050 is 50013002444.

It can be written as a sum of positive squares in 6 ways, for example, as 204491170849 + 239709139201 = 452207^2 + 489601^2 .

It is a super-2 number, since 2×4442003100502 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444200309998 and 444200310025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100157 + ... + 947856.

Almost surely, 2444200310050 is an apocalyptic number.

444200310050 is an abundant number, since it is smaller than the sum of its proper divisors (522460555186).

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

444200310050 is a wasteful number, since it uses less digits than its factorization.

444200310050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048212 (or 1048200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 444200310050 its reverse (50013002444), we get a palindrome (494213312494).

The spelling of 444200310050 in words is "four hundred forty-four billion, two hundred million, three hundred ten thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 173 175 245 346 350 490 865 1211 1225 1730 2422 2450 4325 6055 8477 8650 12110 16954 30275 42385 60550 84770 211925 423850 1048013 2096026 5240065 7336091 10480130 14672182 26200325 36680455 51352637 52400650 73360910 102705274 181306249 183402275 256763185 362612498 366804550 513526370 906531245 1269143743 1283815925 1813062490 2538287486 2567631850 4532656225 6345718715 8884006201 9065312450 12691437430 17768012402 31728593575 44420031005 63457187150 88840062010 222100155025 444200310050