Search a number
-
+
243201040400 = 2452608002601
BaseRepresentation
bin1110001001111111101…
…0010110000000010000
3212020202002122220220202
43202133322112000100
512441033431243100
6303420334154332
723366514510053
oct3423772260020
9766662586822
10243201040400
119416071327a
123b1736529a8
1319c1a615986
14bab1868a9a
1564d5eb27d5
hex389fe96010

243201040400 has 30 divisors (see below), whose sum is σ = 584290500522. Its totient is φ = 97280416000.

The previous prime is 243201040391. The next prime is 243201040471. The reversal of 243201040400 is 4040102342.

It can be written as a sum of positive squares in 3 ways, for example, as 48247001104 + 194954039296 = 219652^2 + 441536^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 304000901 + ... + 304001700.

Almost surely, 2243201040400 is an apocalyptic number.

243201040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243201040400 is an abundant number, since it is smaller than the sum of its proper divisors (341089460122).

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

243201040400 is a wasteful number, since it uses less digits than its factorization.

243201040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608002619 (or 608002608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 243201040400 its reverse (4040102342), we get a palindrome (247241142742).

The spelling of 243201040400 in words is "two hundred forty-three billion, two hundred one million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 608002601 1216005202 2432010404 3040013005 4864020808 6080026010 9728041616 12160052020 15200065025 24320104040 30400130050 48640208080 60800260100 121600520200 243201040400