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441114434200 = 235211200506561
BaseRepresentation
bin1100110101101000111…
…10000001101010011000
31120011121000122000211001
412122310132001222120
524211400243343300
6534351205114344
743604140553056
oct6326436015230
91504530560731
10441114434200
11160091664340
12715a83b89b4
133279b55650b
14174c87891d6
15b71b16816a
hex66b4781a98

441114434200 has 48 divisors (see below), whose sum is σ = 1118826615960. Its totient is φ = 160405248000.

The previous prime is 441114434177. The next prime is 441114434203. The reversal of 441114434200 is 2434411144.

It is a super-2 number, since 2×4411144342002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441114434203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100251081 + ... + 100255480.

Almost surely, 2441114434200 is an apocalyptic number.

441114434200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441114434200 is an abundant number, since it is smaller than the sum of its proper divisors (677712181760).

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

441114434200 is a wasteful number, since it uses less digits than its factorization.

441114434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200506588 (or 200506579 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 441114434200 its reverse (2434411144), we get a palindrome (443548845344).

The spelling of 441114434200 in words is "four hundred forty-one billion, one hundred fourteen million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 200506561 401013122 802026244 1002532805 1604052488 2005065610 2205572171 4010131220 4411144342 5012664025 8020262440 8822288684 10025328050 11027860855 17644577368 20050656100 22055721710 40101312200 44111443420 55139304275 88222886840 110278608550 220557217100 441114434200