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4184416941 = 317139590269
BaseRepresentation
bin1111100101101001…
…0010001010101101
3101210121201101221020
43321122102022231
532032202320231
61531114324353
7205456646205
oct37132221255
911717641836
104184416941
111857aa3421
129894296b9
13518bb0b73
142b9a3b405
15197552396
hexf96922ad

4184416941 has 16 divisors (see below), whose sum is σ = 5949921600. Its totient is φ = 2606623488.

The previous prime is 4184416889. The next prime is 4184416961. The reversal of 4184416941 is 1496144814.

It is not a de Polignac number, because 4184416941 - 26 = 4184416877 is a prime.

It is a super-2 number, since 2×41844169412 = 35018690272255594962, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4184416893 and 4184416902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4184416961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288046 + ... + 302223.

It is an arithmetic number, because the mean of its divisors is an integer number (371870100).

Almost surely, 24184416941 is an apocalyptic number.

It is an amenable number.

4184416941 is a deficient number, since it is larger than the sum of its proper divisors (1765504659).

4184416941 is a wasteful number, since it uses less digits than its factorization.

4184416941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590428.

The product of its digits is 110592, while the sum is 42.

The square root of 4184416941 is about 64687.0693492911. The cubic root of 4184416941 is about 1611.4307640712.

It can be divided in two parts, 41844 and 16941, that added together give a palindrome (58785).

The spelling of 4184416941 in words is "four billion, one hundred eighty-four million, four hundred sixteen thousand, nine hundred forty-one".

Divisors: 1 3 17 51 139 417 2363 7089 590269 1770807 10034573 30103719 82047391 246142173 1394805647 4184416941