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10441013214144 = 26369019787903
BaseRepresentation
bin1001011111101111110011…
…1000100011101111000000
31100222011002011101202211110
42113323330320203233000
52332031143340323034
634112311340443320
72125224016664232
oct227737470435700
940864064352743
1010441013214144
113366010843217
121207656249540
135a9777731ac6
142814c228a252
151318dc264de9
hex97efce23bc0

10441013214144 has 56 divisors (see below), whose sum is σ = 27625616112640. Its totient is φ = 3480282895104.

The previous prime is 10441013214139. The next prime is 10441013214167. The reversal of 10441013214144 is 44141231014401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12857697 + ... + 13645599.

It is an arithmetic number, because the mean of its divisors is an integer number (493314573440).

Almost surely, 210441013214144 is an apocalyptic number.

It is an amenable number.

10441013214144 is an abundant number, since it is smaller than the sum of its proper divisors (17184602898496).

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

10441013214144 is an equidigital number, since it uses as much as digits as its factorization.

10441013214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856937 (or 856927 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10441013214144 its reverse (44141231014401), we get a palindrome (54582244228545).

The spelling of 10441013214144 in words is "ten trillion, four hundred forty-one billion, thirteen million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 69019 138038 207057 276076 414114 552152 787903 828228 1104304 1575806 1656456 2208608 2363709 3151612 3312912 4417216 4727418 6303224 6625824 9454836 12606448 13251648 18909672 25212896 37819344 50425792 75638688 151277376 54380277157 108760554314 163140831471 217521108628 326281662942 435042217256 652563325884 870084434512 1305126651768 1740168869024 2610253303536 3480337738048 5220506607072 10441013214144