Search a number
-
+
442114110 = 2325371031289
BaseRepresentation
bin11010010110100…
…010000000111110
31010210220201112200
4122112202000332
51401140122420
6111512012330
713645623264
oct3226420076
91123821480
10442114110
1120761a969
121040910a6
13707984a9
1442a08434
1528c31b90
hex1a5a203e

442114110 has 96 divisors (see below), whose sum is σ = 1192950720. Its totient is φ = 113508864.

The previous prime is 442114093. The next prime is 442114151. The reversal of 442114110 is 11411244.

442114110 is a `hidden beast` number, since 44 + 211 + 411 + 0 = 666.

It is a super-2 number, since 2×4421141102 = 390929772522184200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342346 + ... + 343634.

It is an arithmetic number, because the mean of its divisors is an integer number (12426570).

Almost surely, 2442114110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442114110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596475360).

442114110 is an abundant number, since it is smaller than the sum of its proper divisors (750836610).

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

442114110 is a wasteful number, since it uses less digits than its factorization.

442114110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1439 counting only the distinct ones).

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

The square root of 442114110 is about 21026.5096960955. The cubic root of 442114110 is about 761.8067069192.

Adding to 442114110 its reverse (11411244), we get a palindrome (453525354).

The spelling of 442114110 in words is "four hundred forty-two million, one hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 103 111 185 206 222 309 333 370 515 555 618 666 927 1030 1110 1289 1545 1665 1854 2578 3090 3330 3811 3867 4635 6445 7622 7734 9270 11433 11601 12890 19055 19335 22866 23202 34299 38110 38670 47693 57165 58005 68598 95386 114330 116010 132767 143079 171495 238465 265534 286158 342990 398301 429237 476930 663835 715395 796602 858474 1194903 1327670 1430790 1991505 2146185 2389806 3983010 4292370 4912379 5974515 9824758 11949030 14737137 24561895 29474274 44211411 49123790 73685685 88422822 147371370 221057055 442114110