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1443134313441 = 323722719091351
BaseRepresentation
bin10101000000000001100…
…000100001001111100001
312002221222111210221201100
4111000001200201033201
5142121014341012231
63022544452425013
7206156133160632
oct25000140411741
95087874727640
101443134313441
11507036774417
121b3832918169
13a6119139872
144dbc3183889
1527814dbc1e6
hex150018213e1

1443134313441 has 24 divisors (see below), whose sum is σ = 2150297158464. Its totient is φ = 931963341600.

The previous prime is 1443134313433. The next prime is 1443134313443.

1443134313441 is a `hidden beast` number, since 1 + 443 + 1 + 3 + 43 + 134 + 41 = 666.

1443134313441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1443134313441 - 23 = 1443134313433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1443134313396 and 1443134313405.

It is not an unprimeable number, because it can be changed into a prime (1443134313443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9470085 + ... + 9621266.

It is an arithmetic number, because the mean of its divisors is an integer number (89595714936).

Almost surely, 21443134313441 is an apocalyptic number.

It is an amenable number.

1443134313441 is a deficient number, since it is larger than the sum of its proper divisors (707162845023).

1443134313441 is a wasteful number, since it uses less digits than its factorization.

1443134313441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19091621 (or 19091618 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 1443134313441 in words is "one trillion, four hundred forty-three billion, one hundred thirty-four million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 37 111 227 333 681 2043 8399 25197 75591 19091351 57274053 171822159 706379987 2119139961 4333736677 6357419883 13001210031 39003630093 160348257049 481044771147 1443134313441