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320443444344023 = 71121379368381267
BaseRepresentation
bin100100011011100010000110…
…1101010111011010011010111
31120000121002112121011210202022
41020313010031222323103113
5314000121133223002043
63053305404105403355
7124332163163321060
oct11067041552732327
91500532477153668
10320443444344023
1193115335430600
122bb3410519955b
13109a58c185a110
14591b78ca55567
15270a70918b868
hex123710dabb4d7

320443444344023 has 48 divisors (see below), whose sum is σ = 438992589450240. Its totient is φ = 227571210884160.

The previous prime is 320443444343987. The next prime is 320443444344031.

320443444344023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320443444344023 - 28 = 320443444343767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320443444346023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183320765 + ... + 185060502.

It is an arithmetic number, because the mean of its divisors is an integer number (9145678946880).

Almost surely, 2320443444344023 is an apocalyptic number.

320443444344023 is a deficient number, since it is larger than the sum of its proper divisors (118549145106217).

320443444344023 is a wasteful number, since it uses less digits than its factorization.

320443444344023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368381388 (or 368381377 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

The spelling of 320443444344023 in words is "three hundred twenty trillion, four hundred forty-three billion, four hundred forty-four million, three hundred forty-four thousand, twenty-three".

Divisors: 1 7 11 13 77 79 91 121 143 553 847 869 1001 1027 1573 6083 7189 9559 11011 11297 66913 79079 124267 869869 368381267 2578668869 4052193937 4788956471 28365357559 29102120093 33522695297 44574133307 52678521181 203714840651 312018933149 320123321023 368749648267 378327561209 579463732991 2240863247161 2648292928463 3521356531253 4056246130937 4161603173299 24649495718771 29131222213093 45777634906289 320443444344023