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320041341124443 = 3431116277808599
BaseRepresentation
bin100100011000100110110111…
…0011100110111111101011011
31112222011122122100000210220000
41020301031232130313331123
5313422024131311440233
63052400543514104043
7124261136532333411
oct11061155634677533
91488148570023800
10320041341124443
1192a7a852671204
122ba8a1a571b023
13109769cc574663
1459061254092b1
152700022ce1d13
hex123136e737f5b

320041341124443 has 40 divisors (see below), whose sum is σ = 479918555001600. Its totient is φ = 212544103025520.

The previous prime is 320041341124433. The next prime is 320041341124471. The reversal of 320041341124443 is 344421143140023.

320041341124443 is a `hidden beast` number, since 3 + 20 + 0 + 41 + 34 + 1 + 124 + 443 = 666.

It is not a de Polignac number, because 320041341124443 - 225 = 320041307570011 is a prime.

It is a super-2 number, since 2×3200413411244432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320041341124398 and 320041341124407.

It is not an unprimeable number, because it can be changed into a prime (320041341124423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37081458 + ... + 44890056.

It is an arithmetic number, because the mean of its divisors is an integer number (11997963875040).

Almost surely, 2320041341124443 is an apocalyptic number.

320041341124443 is a deficient number, since it is larger than the sum of its proper divisors (159877213877157).

320041341124443 is a wasteful number, since it uses less digits than its factorization.

320041341124443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810549 (or 7810540 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 320041341124443 its reverse (344421143140023), we get a palindrome (664462484264466).

The spelling of 320041341124443 in words is "three hundred twenty trillion, forty-one billion, three hundred forty-one million, one hundred twenty-four thousand, four hundred forty-three".

Divisors: 1 3 9 27 81 311 933 1627 2799 4881 8397 14643 25191 43929 131787 505997 1517991 4553973 7808599 13661919 23425797 40985757 70277391 210832173 632496519 2428474289 7285422867 12704590573 21856268601 38113771719 65568805803 114341315157 196706417409 343023945471 1029071836413 3951127668203 11853383004609 35560149013827 106680447041481 320041341124443