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4414133564105 = 52413663181381
BaseRepresentation
bin100000000111011111011…
…0111001111001011001001
3120121222122120001112000012
41000032332313033023021
51034310121143022410
613215454105321305
7633624226136306
oct100167667171311
916558576045005
104414133564105
111452029358961
125b35a4496235
1326033560b755
141139066260ad
1579c4d5bb605
hex403bedcf2c9

4414133564105 has 8 divisors (see below), whose sum is σ = 5318939366664. Its totient is φ = 3516654124800.

The previous prime is 4414133564041. The next prime is 4414133564161. The reversal of 4414133564105 is 5014653314144.

It can be written as a sum of positive squares in 4 ways, for example, as 136760915344 + 4277372648761 = 369812^2 + 2068181^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4414133564105 - 26 = 4414133564041 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 1831589486 + ... + 1831591895.

It is an arithmetic number, because the mean of its divisors is an integer number (664867420833).

Almost surely, 24414133564105 is an apocalyptic number.

It is an amenable number.

4414133564105 is a deficient number, since it is larger than the sum of its proper divisors (904805802559).

4414133564105 is a wasteful number, since it uses less digits than its factorization.

4414133564105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663181627.

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 4414133564105 its reverse (5014653314144), we get a palindrome (9428786878249).

The spelling of 4414133564105 in words is "four trillion, four hundred fourteen billion, one hundred thirty-three million, five hundred sixty-four thousand, one hundred five".

Divisors: 1 5 241 1205 3663181381 18315906905 882826712821 4414133564105