Search a number
-
+
243251210304 = 2632422311129
BaseRepresentation
bin1110001010001011100…
…1101110100001000000
3212020212121001211002100
43202202321232201000
512441134302212204
6303425325350400
723400664113024
oct3424271564100
9766777054070
10243251210304
1194186a6a703
123b188408400
1319c27b304cb
14bab83a8384
1564da5c2a39
hex38a2e6e840

243251210304 has 42 divisors (see below), whose sum is σ = 697235675630. Its totient is φ = 81083736576.

The previous prime is 243251210303. The next prime is 243251210327. The reversal of 243251210304 is 403012152342.

243251210304 is a `hidden beast` number, since 2 + 43 + 2 + 512 + 103 + 0 + 4 = 666.

243251210304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 200302792704 + 42948417600 = 447552^2 + 207240^2 .

It is not an unprimeable number, because it can be changed into a prime (243251210303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211154989 + ... + 211156140.

Almost surely, 2243251210304 is an apocalyptic number.

243251210304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243251210304 is an abundant number, since it is smaller than the sum of its proper divisors (453984465326).

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

243251210304 is a wasteful number, since it uses less digits than its factorization.

243251210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422311147 (or 422311134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 243251210304 its reverse (403012152342), we get a palindrome (646263362646).

The spelling of 243251210304 in words is "two hundred forty-three billion, two hundred fifty-one million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 422311129 844622258 1266933387 1689244516 2533866774 3378489032 3800800161 5067733548 6756978064 7601600322 10135467096 13513956128 15203200644 20270934192 27027912256 30406401288 40541868384 60812802576 81083736768 121625605152 243251210304