Search a number
-
+
4212142110 = 23251119613671
BaseRepresentation
bin1111101100010000…
…0011000000011110
3101212112212222201100
43323010003000132
532111302021420
61533544453530
7206244421461
oct37304030036
911775788640
104212142110
11187170a790
1299677a2a6
1352186a5a7
142bd5b72d8
15199bcc190
hexfb10301e

4212142110 has 192 divisors, whose sum is σ = 12785610240. Its totient is φ = 951264000.

The previous prime is 4212142073. The next prime is 4212142117. The reversal of 4212142110 is 112412124.

4212142110 is a `hidden beast` number, since 421 + 214 + 21 + 10 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212142117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145575 + ... + 1149245.

It is an arithmetic number, because the mean of its divisors is an integer number (66591720).

Almost surely, 24212142110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212142110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392805120).

4212142110 is an abundant number, since it is smaller than the sum of its proper divisors (8573468130).

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

4212142110 is a wasteful number, since it uses less digits than its factorization.

4212142110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3772 counting only the distinct ones).

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

The square root of 4212142110 is about 64901.0177886295. The cubic root of 4212142110 is about 1614.9819460132.

Adding to 4212142110 its reverse (112412124), we get a palindrome (4324554234).

It can be divided in two parts, 421214 and 2110, that added together give a palindrome (423324).

The spelling of 4212142110 in words is "four billion, two hundred twelve million, one hundred forty-two thousand, one hundred ten".