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411141104 = 24111012229
BaseRepresentation
bin11000100000011…
…000001111110000
31001122122010120022
4120200120033300
51320223003404
6104444103012
713121433053
oct3040301760
91048563508
10411141104
111a1095440
12b5834a68
136724267a
143c864a9a
15261648be
hex188183f0

411141104 has 60 divisors (see below), whose sum is σ = 881524680. Its totient is φ = 184224000.

The previous prime is 411141097. The next prime is 411141109. The reversal of 411141104 is 401141114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411141109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795262 + ... + 1795490.

It is an arithmetic number, because the mean of its divisors is an integer number (14692078).

Almost surely, 2411141104 is an apocalyptic number.

411141104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440762340).

411141104 is an abundant number, since it is smaller than the sum of its proper divisors (470383576).

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

411141104 is a wasteful number, since it uses less digits than its factorization.

411141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 411141104 is about 20276.6147075886. The cubic root of 411141104 is about 743.5844501811.

Adding to 411141104 its reverse (401141114), we get a palindrome (812282218).

The spelling of 411141104 in words is "four hundred eleven million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 229 404 458 808 916 1111 1616 1832 2222 2519 3664 4444 5038 8888 10076 10201 17776 20152 20402 23129 40304 40804 46258 81608 92516 112211 163216 185032 224422 254419 370064 448844 508838 897688 1017676 1795376 2035352 2336029 4070704 4672058 9344116 18688232 25696319 37376464 51392638 102785276 205570552 411141104