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1440224220441 = 32350069416881
BaseRepresentation
bin10100111101010100000…
…011011001010100011001
312002200110200221220121010
4110331110003121110121
5142044034400023231
63021344015204133
7206024045612526
oct24752403312431
95080420856533
101440224220441
11505883031486
121b3160216649
13a5a74273b46
144d9c88a214d
15276e4687546
hex14f540d9519

1440224220441 has 16 divisors (see below), whose sum is σ = 2003835047040. Its totient is φ = 918383304960.

The previous prime is 1440224220439. The next prime is 1440224220469.

1440224220441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1440224220441 - 21 = 1440224220439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1440224220399 and 1440224220408.

It is not an unprimeable number, because it can be changed into a prime (1440224221441) 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 15 ways as a sum of consecutive naturals, for example, 3246321 + ... + 3663201.

It is an arithmetic number, because the mean of its divisors is an integer number (125239690440).

Almost surely, 21440224220441 is an apocalyptic number.

It is an amenable number.

1440224220441 is a deficient number, since it is larger than the sum of its proper divisors (563610826599).

1440224220441 is a wasteful number, since it uses less digits than its factorization.

1440224220441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466976.

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 1440224220441 in words is "one trillion, four hundred forty billion, two hundred twenty-four million, two hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 23 69 50069 150207 416881 1151587 1250643 3454761 9588263 28764789 20872814789 62618444367 480074740147 1440224220441