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1444416981921 = 32312129232
BaseRepresentation
bin10101000001001101111…
…101100000101110100001
312010002021220101021002100
4111001031331200232201
5142131131221410141
63023320032441013
7206232666525114
oct25011575405641
95102256337070
101444416981921
11507634804211
121b3b303a9169
13a6291ab6bb4
144dca567257b
152788c7d70b6
hex1504df60ba1

1444416981921 has 27 divisors (see below), whose sum is σ = 2156020555377. Its totient is φ = 931809813480.

The previous prime is 1444416981911. The next prime is 1444416981941. The reversal of 1444416981921 is 1291896144441.

The square root of 1444416981921 is 1201839.

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

1444416981921 is a `hidden beast` number, since 1 + 4 + 4 + 441 + 6 + 9 + 8 + 192 + 1 = 666.

It is not a de Polignac number, because 1444416981921 - 215 = 1444416949153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1444416981901) 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 26 ways as a sum of consecutive naturals, for example, 111764566 + ... + 111777488.

Almost surely, 21444416981921 is an apocalyptic number.

1444416981921 is the 1201839-th square number.

1444416981921 is the 600920-th centered octagonal number.

It is an amenable number.

1444416981921 is a deficient number, since it is larger than the sum of its proper divisors (711603573456).

1444416981921 is an frugal number, since it uses more digits than its factorization.

1444416981921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25914 (or 12957 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 1444416981921 in words is "one trillion, four hundred forty-four billion, four hundred sixteen million, nine hundred eighty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 31 93 279 961 2883 8649 12923 38769 116307 400613 1201839 3605517 12419003 37257009 111771027 167003929 501011787 1503035361 5177121799 15531365397 46594096191 160490775769 481472327307 1444416981921