Search a number
-
+
4142212110 = 2325833111783
BaseRepresentation
bin1111011011100101…
…0010010000001110
3101200200022011210100
43312321102100032
531440401241420
61523005551530
7204435136101
oct36671222016
911620264710
104142212110
1118361972a3
129772755a6
135102248aa
142b41b2738
151939b7190
hexf6e5240e

4142212110 has 96 divisors (see below), whose sum is σ = 10940686848. Its totient is φ = 1087162560.

The previous prime is 4142212091. The next prime is 4142212133. The reversal of 4142212110 is 112122414.

4142212110 is a `hidden beast` number, since 414 + 221 + 21 + 10 = 666.

4142212110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322279 + ... + 2324061.

It is an arithmetic number, because the mean of its divisors is an integer number (113965488).

Almost surely, 24142212110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470343424).

4142212110 is an abundant number, since it is smaller than the sum of its proper divisors (6798474738).

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

4142212110 is a wasteful number, since it uses less digits than its factorization.

4142212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4142212110 is about 64360.0194996863. The cubic root of 4142212110 is about 1605.9947134042.

Adding to 4142212110 its reverse (112122414), we get a palindrome (4254334524).

The spelling of 4142212110 in words is "four billion, one hundred forty-two million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 311 415 498 622 747 830 933 1245 1494 1555 1783 1866 2490 2799 3110 3566 3735 4665 5349 5598 7470 8915 9330 10698 13995 16047 17830 25813 26745 27990 32094 51626 53490 77439 80235 129065 147989 154878 160470 232317 258130 295978 387195 443967 464634 554513 739945 774390 887934 1109026 1161585 1331901 1479890 1663539 2219835 2323170 2663802 2772565 3327078 4439670 4990617 5545130 6659505 8317695 9981234 13319010 16635390 24953085 46024579 49906170 92049158 138073737 230122895 276147474 414221211 460245790 690368685 828442422 1380737370 2071106055 4142212110