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1044311130144 = 25323626080313
BaseRepresentation
bin11110011001001011100…
…10110100000000100000
310200211112211122001202100
433030211302310000200
5114102222122131034
62115425551450400
7135310001100252
oct17144562640040
93624484561670
101044311130144
11372987453907
1214a489826a00
137762a566689
143878b3d7cd2
151c271980099
hexf325cb4020

1044311130144 has 36 divisors (see below), whose sum is σ = 2969759777166. Its totient is φ = 348103709952.

The previous prime is 1044311130131. The next prime is 1044311130151. The reversal of 1044311130144 is 4410311134401.

1044311130144 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 311 + 1 + 301 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1010049120144 + 34262010000 = 1005012^2 + 185100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1813039869 + ... + 1813040444.

Almost surely, 21044311130144 is an apocalyptic number.

It is an amenable number.

1044311130144 is an abundant number, since it is smaller than the sum of its proper divisors (1925448647022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1044311130144 is a wasteful number, since it uses less digits than its factorization.

1044311130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626080329 (or 3626080318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1044311130144 its reverse (4410311134401), we get a palindrome (5454622264545).

The spelling of 1044311130144 in words is "one trillion, forty-four billion, three hundred eleven million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3626080313 7252160626 10878240939 14504321252 21756481878 29008642504 32634722817 43512963756 58017285008 65269445634 87025927512 116034570016 130538891268 174051855024 261077782536 348103710048 522155565072 1044311130144