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1444854484441 = 29218122292
BaseRepresentation
bin10101000001101000000…
…010011100110111011001
312010010102101121200201101
4111001220002130313121
5142133030222000231
63023431301551401
7206246561323504
oct25015002346731
95103371550641
101444854484441
11507839764345
121b4032a15561
13a6331629324
144dd077da13b
15278b5e07661
hex1506809cdd9

1444854484441 has 27 divisors (see below), whose sum is σ = 1511307595863. Its totient is φ = 1381266371520.

The previous prime is 1444854484433. The next prime is 1444854484453. The reversal of 1444854484441 is 1444844584441.

The square root of 1444854484441 is 1202021.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 915889194441 + 528965290000 = 957021^2 + 727300^2 .

It is not a de Polignac number, because 1444854484441 - 23 = 1444854484433 is a prime.

It is a super-2 number, since 2×14448544844412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444854484421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6309408115 + ... + 6309408343.

Almost surely, 21444854484441 is an apocalyptic number.

1444854484441 is the 1202021-st square number.

1444854484441 is the 601011-st centered octagonal number.

It is an amenable number.

1444854484441 is a deficient number, since it is larger than the sum of its proper divisors (66453111422).

1444854484441 is an frugal number, since it uses more digits than its factorization.

1444854484441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its digits is 20971520, while the sum is 55.

The spelling of 1444854484441 in words is "one trillion, four hundred forty-four billion, eight hundred fifty-four million, four hundred eighty-four thousand, four hundred forty-one".

Divisors: 1 29 181 229 841 5249 6641 32761 41449 52441 152221 192589 950069 1202021 1520789 7502269 9491821 27552001 34858609 44102881 217565801 275262809 1718019601 6309408229 7982621461 49822568429 1444854484441