Search a number
-
+
243314043210 = 23357239538651
BaseRepresentation
bin1110001010011010100…
…1011010100101001010
3212021000222022001122000
43202212221122211022
512441301343340320
6303435452211430
723402356146240
oct3424651324512
9767028261560
10243314043210
1194209485a27
123b1a5469b76
1319c37b5ca44
14bac2882790
1564e0d84c90
hex38a6a5a94a

243314043210 has 128 divisors (see below), whose sum is σ = 744632524800. Its totient is φ = 55381838400.

The previous prime is 243314043179. The next prime is 243314043211. The reversal of 243314043210 is 12340413342.

243314043210 is a `hidden beast` number, since 2 + 4 + 331 + 4 + 0 + 4 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (243314043211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182385 + ... + 721035.

It is an arithmetic number, because the mean of its divisors is an integer number (5817441600).

Almost surely, 2243314043210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243314043210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372316262400).

243314043210 is an abundant number, since it is smaller than the sum of its proper divisors (501318481590).

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

243314043210 is a wasteful number, since it uses less digits than its factorization.

243314043210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538913 (or 538907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 243314043210 its reverse (12340413342), we get a palindrome (255654456552).

The spelling of 243314043210 in words is "two hundred forty-three billion, three hundred fourteen million, forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 239 270 315 378 478 630 717 945 1195 1434 1673 1890 2151 2390 3346 3585 4302 5019 6453 7170 8365 10038 10755 12906 15057 16730 21510 25095 30114 32265 45171 50190 64530 75285 90342 150570 225855 451710 538651 1077302 1615953 2693255 3231906 3770557 4847859 5386510 7541114 8079765 9695718 11311671 14543577 16159530 18852785 22623342 24239295 29087154 33935013 37705570 48478590 56558355 67870026 72717885 101805039 113116710 128737589 145435770 169675065 203610078 257475178 339350130 386212767 509025195 643687945 772425534 901163123 1018050390 1158638301 1287375890 1802326246 1931063835 2317276602 2703489369 3475914903 3862127670 4505815615 5406978738 5793191505 6951829806 8110468107 9011631230 11586383010 13517446845 16220936214 17379574515 24331404321 27034893690 34759149030 40552340535 48662808642 81104681070 121657021605 243314043210