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441840145150548 = 2232109016911258197
BaseRepresentation
bin110010001110110011110110…
…0111001100011001001010100
32010221102111122101221020112200
41210131213230321203021110
5430403102104124304143
64203414321024044500
7162031616455502364
oct14435475471431124
92127374571836480
10441840145150548
11118869398209121
124167b6b6763730
1315c70468201761
147b1726a0849a4
153613421ead1d3
hex191d9ece63254

441840145150548 has 36 divisors (see below), whose sum is σ = 1116874823943060. Its totient is φ = 147279900203136.

The previous prime is 441840145150519. The next prime is 441840145150583. The reversal of 441840145150548 is 845051541048144.

441840145150548 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 4 + 0 + 1 + 45 + 1 + 50 + 548 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2655948165264 + 439184196985284 = 1629708^2 + 20956722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 441840145150494 and 441840145150503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33616986 + ... + 44875182.

It is an arithmetic number, because the mean of its divisors is an integer number (31024300665085).

Almost surely, 2441840145150548 is an apocalyptic number.

It is an amenable number.

441840145150548 is an abundant number, since it is smaller than the sum of its proper divisors (675034678792512).

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

441840145150548 is a wasteful number, since it uses less digits than its factorization.

441840145150548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348376 (or 12348371 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 54.

The spelling of 441840145150548 in words is "four hundred forty-one trillion, eight hundred forty billion, one hundred forty-five million, one hundred fifty thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1090169 2180338 3270507 4360676 6541014 9811521 11258197 13082028 19623042 22516394 33774591 39246084 45032788 67549182 101323773 135098364 202647546 405295092 12273337365293 24546674730586 36820012095879 49093349461172 73640024191758 110460036287637 147280048383516 220920072575274 441840145150548