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203411400442400 = 2552254264250553
BaseRepresentation
bin101110010000000001101000…
…010001000100001000100000
3222200012221101020102011221202
4232100001220101010020200
5203130143022003124100
62000341523552140332
760562663061532203
oct5620015021041040
9880187336364852
10203411400442400
11598a4321697547
121a9925aa5376a8
1389667c72bc507
143833242c2b93a
15187b2e5eba7d5
hexb90068444220

203411400442400 has 36 divisors (see below), whose sum is σ = 496578081331962. Its totient is φ = 81364560176640.

The previous prime is 203411400442391. The next prime is 203411400442403. The reversal of 203411400442400 is 4244004114302.

It can be written as a sum of positive squares in 3 ways, for example, as 121900766193424 + 81510634248976 = 11040868^2 + 9028324^2 .

It is not an unprimeable number, because it can be changed into a prime (203411400442403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 127132124477 + ... + 127132126076.

Almost surely, 2203411400442400 is an apocalyptic number.

203411400442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203411400442400 is an abundant number, since it is smaller than the sum of its proper divisors (293166680889562).

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

203411400442400 is a wasteful number, since it uses less digits than its factorization.

203411400442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254264250573 (or 254264250560 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 203411400442400 its reverse (4244004114302), we get a palindrome (207655404556702).

The spelling of 203411400442400 in words is "two hundred three trillion, four hundred eleven billion, four hundred million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 254264250553 508528501106 1017057002212 1271321252765 2034114004424 2542642505530 4068228008848 5085285011060 6356606263825 8136456017696 10170570022120 12713212527650 20341140044240 25426425055300 40682280088480 50852850110600 101705700221200 203411400442400