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1443408043441 = 721313157130293
BaseRepresentation
bin10101000000010001110…
…100101101110110110001
312002222200120212212200111
4111000101310231312301
5142122044424342231
63023031551421321
7206165665635400
oct25002164556661
95088616785614
101443408043441
11507167235861
121b38aa524841
13a6160a6a390
144dc0b679637
152782de3c4b1
hex15011d2ddb1

1443408043441 has 48 divisors (see below), whose sum is σ = 1825279904448. Its totient is φ = 1131297148800.

The previous prime is 1443408043439. The next prime is 1443408043501.

1443408043441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1443408043441 - 21 = 1443408043439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1443408043394 and 1443408043403.

It is not an unprimeable number, because it can be changed into a prime (1443408043841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47633091 + ... + 47663383.

It is an arithmetic number, because the mean of its divisors is an integer number (38026664676).

Almost surely, 21443408043441 is an apocalyptic number.

It is an amenable number.

1443408043441 is a deficient number, since it is larger than the sum of its proper divisors (381871861007).

1443408043441 is a wasteful number, since it uses less digits than its factorization.

1443408043441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31022 (or 31015 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 1443408043441 in words is "one trillion, four hundred forty-three billion, four hundred eight million, forty-three thousand, four hundred forty-one".

Divisors: 1 7 13 49 91 131 571 637 917 1703 3997 6419 7423 11921 27979 30293 51961 74801 83447 212051 363727 393809 523607 972413 1484357 2756663 3665249 3968383 6806891 17297303 19296641 27778681 47648237 51588979 121081121 194450767 224864939 361122853 847567847 1574054573 2265946693 2527859971 11018382011 15861626851 29457307009 111031387957 206201149063 1443408043441