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414112044 = 223177128591
BaseRepresentation
bin11000101011101…
…101100100101100
31001212020001221010
4120223231210230
51322003041134
6105031505220
713155615513
oct3053554454
91055201833
10414112044
111a2834565
12b6828210
1367a42a18
143cdd967a
152654ece9
hex18aed92c

414112044 has 48 divisors (see below), whose sum is σ = 1037546496. Its totient is φ = 128083200.

The previous prime is 414112031. The next prime is 414112063. The reversal of 414112044 is 440211414.

It is a self number, because there is not a number n which added to its sum of digits gives 414112044.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189 + ... + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (21615552).

Almost surely, 2414112044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414112044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518773248).

414112044 is an abundant number, since it is smaller than the sum of its proper divisors (623434452).

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

414112044 is a wasteful number, since it uses less digits than its factorization.

414112044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28686 (or 28684 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414112044 is about 20349.7430942015. The cubic root of 414112044 is about 745.3712210888.

Adding to 414112044 its reverse (440211414), we get a palindrome (854323458).

The spelling of 414112044 in words is "four hundred fourteen million, one hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484 28591 57182 85773 114364 171546 343092 486047 972094 1458141 1944188 2029961 2916282 4059922 5832564 6089883 8119844 12179766 24359532 34509337 69018674 103528011 138037348 207056022 414112044