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1444282379089 = 1121092532
BaseRepresentation
bin10101000001000101111…
…100000010101101010001
312010001221112002201201021
4111001011330002231101
5142130342242112324
63023254423435441
7206226443444044
oct25010574025521
95101845081637
101444282379089
11507575829100
121b3ab32b5b81
13a626cc49354
144dc91834c5b
1527880a99ae4
hex15045f02b51

1444282379089 has 9 divisors (see below), whose sum is σ = 1587531525979. Its totient is φ = 1312971963160.

The previous prime is 1444282379047. The next prime is 1444282379117. The reversal of 1444282379089 is 9809732824441.

The square root of 1444282379089 is 1201783.

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

It can be written as a sum of positive squares in only one way, i.e., 565361129025 + 878921250064 = 751905^2 + 937508^2 .

It is not a de Polignac number, because 1444282379089 - 27 = 1444282378961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1444282379039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13164987 + ... + 13274239.

Almost surely, 21444282379089 is an apocalyptic number.

1444282379089 is the 1201783-rd square number.

1444282379089 is the 600892-nd centered octagonal number.

It is an amenable number.

1444282379089 is a deficient number, since it is larger than the sum of its proper divisors (143249146890).

1444282379089 is an frugal number, since it uses more digits than its factorization.

1444282379089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218528 (or 109264 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 1444282379089 in words is "one trillion, four hundred forty-four billion, two hundred eighty-two million, three hundred seventy-nine thousand, eighty-nine".

Divisors: 1 11 121 109253 1201783 13219613 11936218009 131298398099 1444282379089