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1444131323343 = 33473929289643
BaseRepresentation
bin10101000000111100111…
…011110011110111001111
312010001112222212022012000
4111000330323303313033
5142130040104321333
63023231430043343
7206222630466222
oct25007473636717
95101488768160
101444131323343
115074a8535745
121b3a707a9553
13a624786aa57
144dc797535b9
15278726ac713
hex1503cef3dcf

1444131323343 has 32 divisors (see below), whose sum is σ = 2185537766400. Its totient is φ = 942027006528.

The previous prime is 1444131323321. The next prime is 1444131323377. The reversal of 1444131323343 is 3433231314441.

1444131323343 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 313 + 2 + 334 + 3 = 666.

It is not a de Polignac number, because 1444131323343 - 28 = 1444131323087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1444131323298 and 1444131323307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444131323143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4841080 + ... + 5130722.

It is an arithmetic number, because the mean of its divisors is an integer number (68298055200).

Almost surely, 21444131323343 is an apocalyptic number.

1444131323343 is a deficient number, since it is larger than the sum of its proper divisors (741406443057).

1444131323343 is a wasteful number, since it uses less digits than its factorization.

1444131323343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293628 (or 293622 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 1444131323343 its reverse (3433231314441), we get a palindrome (4877362637784).

The spelling of 1444131323343 in words is "one trillion, four hundred forty-four billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred forty-three".

Divisors: 1 3 9 27 47 141 423 1269 3929 11787 35361 106083 184663 289643 553989 868929 1661967 2606787 4985901 7820361 13613221 40839663 122518989 367556967 1138007347 3414022041 10242066123 30726198369 53486345309 160459035927 481377107781 1444131323343