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10440223102404 = 2232290006197289
BaseRepresentation
bin1001011111101100110111…
…0010100001010111000100
31100222002001002122221021200
42113323031302201113010
52332023034103234104
634112101113542500
72125165314103404
oct227731562412704
940862032587250
1010440223102404
113365745846607
121207475714a30
135a967cb31974
14281449376804
15131892be2b39
hex97ecdca15c4

10440223102404 has 18 divisors (see below), whose sum is σ = 26390563953390. Its totient is φ = 3480074367456.

The previous prime is 10440223102381. The next prime is 10440223102433. The reversal of 10440223102404 is 40420132204401.

10440223102404 is a `hidden beast` number, since 1 + 0 + 4 + 402 + 2 + 3 + 10 + 240 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9926280360000 + 513942742404 = 3150600^2 + 716898^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145003098609 + ... + 145003098680.

It is an arithmetic number, because the mean of its divisors is an integer number (1466142441855).

Almost surely, 210440223102404 is an apocalyptic number.

It is an amenable number.

10440223102404 is an abundant number, since it is smaller than the sum of its proper divisors (15950340850986).

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

10440223102404 is a wasteful number, since it uses less digits than its factorization.

10440223102404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290006197299 (or 290006197294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10440223102404 its reverse (40420132204401), we get a palindrome (50860355306805).

The spelling of 10440223102404 in words is "ten trillion, four hundred forty billion, two hundred twenty-three million, one hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 290006197289 580012394578 870018591867 1160024789156 1740037183734 2610055775601 3480074367468 5220111551202 10440223102404