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441143330130216 = 233273504292497751
BaseRepresentation
bin110010001001101111010111…
…1011111001100100100101000
32010211221220001011112120112200
41210103132233133030210220
5430310143020003131331
64202122240443540200
7161630360651530020
oct14423365737144450
92124856034476480
10441143330130216
1111861a92130392a
124158864882a660
1315c1c83987468c
147ad1645b78a80
15360023c8385e6
hex19137af7cc928

441143330130216 has 96 divisors (see below), whose sum is σ = 1365448084041600. Its totient is φ = 126040541328000.

The previous prime is 441143330130197. The next prime is 441143330130229. The reversal of 441143330130216 is 612031033341144.

441143330130216 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 4 + 3 + 330 + 1 + 302 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175367341 + ... + 177865091.

It is an arithmetic number, because the mean of its divisors is an integer number (14223417542100).

Almost surely, 2441143330130216 is an apocalyptic number.

It is an amenable number.

441143330130216 is an abundant number, since it is smaller than the sum of its proper divisors (924304753911384).

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

441143330130216 is a wasteful number, since it uses less digits than its factorization.

441143330130216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848199 (or 2848192 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 441143330130216 in words is "four hundred forty-one trillion, one hundred forty-three billion, three hundred thirty million, one hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 350429 700858 1051287 1401716 2102574 2453003 2497751 2803432 3153861 4205148 4906006 4995502 6307722 7359009 7493253 8410296 9812012 9991004 12615444 14718018 14986506 17484257 19624024 19982008 22077027 22479759 25230888 29436036 29973012 34968514 44154054 44959518 52452771 58872072 59946024 69937028 88308108 89919036 104905542 139874056 157358313 176616216 179838072 209811084 314716626 419622168 629433252 1258866504 875284385179 1750568770358 2625853155537 3501137540716 5251706311074 6126990696253 7002275081432 7877559466611 10503412622148 12253981392506 15755118933222 18380972088759 21006825244296 24507962785012 31510237866444 36761944177518 49015925570024 55142916266277 63020475732888 73523888355036 110285832532554 147047776710072 220571665065108 441143330130216