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1440242420441 = 11296891228489
BaseRepresentation
bin10100111101010101001…
…000110100101011011001
312002200111222012120022012
4110331111020310223121
5142044104024423231
63021345505235305
7206024356403666
oct24752510645331
95080458176265
101440242420441
11505892332400
121b3166332b35
13a5a77c76b86
144d9cb07ca6d
15276e607ee2b
hex14f55234ad9

1440242420441 has 12 divisors (see below), whose sum is σ = 1583241057300. Its totient is φ = 1309175091840.

The previous prime is 1440242420429. The next prime is 1440242420447.

1440242420441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 929882204416 + 510360216025 = 964304^2 + 714395^2 .

It is not a de Polignac number, because 1440242420441 - 226 = 1440175311577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1440242420398 and 1440242420407.

It is not an unprimeable number, because it can be changed into a prime (1440242420447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558125 + ... + 1786613.

It is an arithmetic number, because the mean of its divisors is an integer number (131936754775).

Almost surely, 21440242420441 is an apocalyptic number.

1440242420441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1440242420441 is a deficient number, since it is larger than the sum of its proper divisors (142998636859).

1440242420441 is a wasteful number, since it uses less digits than its factorization.

1440242420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238200 (or 1238189 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 1440242420441 in words is "one trillion, four hundred forty billion, two hundred forty-two million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 11 121 9689 106579 1172369 1228489 13513379 148647169 11902829921 130931129131 1440242420441