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444013411005 = 325191667331147
BaseRepresentation
bin1100111011000010100…
…00101111101010111101
31120110002001120022101100
412131201100233222331
524233314413123010
6535551004203313
744036031502353
oct6354120575275
91513061508340
10444013411005
11161339aa453a
1272077239539
1332b410295c8
14176c17b57d3
15b83a9042c0
hex676142fabd

444013411005 has 48 divisors (see below), whose sum is σ = 810204333120. Its totient is φ = 224322960384.

The previous prime is 444013411003. The next prime is 444013411019. The reversal of 444013411005 is 500114310444.

It is not a de Polignac number, because 444013411005 - 21 = 444013411003 is a prime.

It is a super-2 number, since 2×4440134110052 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444013411005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444013411003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14239842 + ... + 14270988.

It is an arithmetic number, because the mean of its divisors is an integer number (16879256940).

Almost surely, 2444013411005 is an apocalyptic number.

444013411005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444013411005 is a deficient number, since it is larger than the sum of its proper divisors (366190922115).

444013411005 is a wasteful number, since it uses less digits than its factorization.

444013411005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47850 (or 47847 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 444013411005 its reverse (500114310444), we get a palindrome (944127721449).

The spelling of 444013411005 in words is "four hundred forty-four billion, thirteen million, four hundred eleven thousand, five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 16673 31147 50019 83365 93441 150057 155735 250095 280323 316787 467205 591793 750285 950361 1401615 1583935 1775379 2851083 2958965 4751805 5326137 8876895 14255415 26630685 519313931 1557941793 2596569655 4673825379 7789708965 9866964689 23369126895 29600894067 49334823445 88802682201 148004470335 444013411005