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441414210144 = 2538753525313
BaseRepresentation
bin1100110110001100101…
…01100101001001100000
31120012100220201020002210
412123012111211021200
524213004014211034
6534441034242120
743614440610315
oct6330625451140
91505326636083
10441414210144
111602258a5456
1271670886340
13328186a632b
1417516500d0c
15b7376308e9
hex66c6565260

441414210144 has 48 divisors (see below), whose sum is σ = 1158846886512. Its totient is φ = 147120979968.

The previous prime is 441414210137. The next prime is 441414210161. The reversal of 441414210144 is 441012414144.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 577632 + ... + 1102944.

It is an arithmetic number, because the mean of its divisors is an integer number (24142643469).

Almost surely, 2441414210144 is an apocalyptic number.

It is an amenable number.

441414210144 is an abundant number, since it is smaller than the sum of its proper divisors (717432676368).

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

441414210144 is a wasteful number, since it uses less digits than its factorization.

441414210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534079 (or 534071 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 441414210144 its reverse (441012414144), we get a palindrome (882426624288).

The spelling of 441414210144 in words is "four hundred forty-one billion, four hundred fourteen million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8753 17506 26259 35012 52518 70024 105036 140048 210072 280096 420144 525313 840288 1050626 1575939 2101252 3151878 4202504 6303756 8405008 12607512 16810016 25215024 50430048 4598064689 9196129378 13794194067 18392258756 27588388134 36784517512 55176776268 73569035024 110353552536 147138070048 220707105072 441414210144