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1440002011040 = 255291078393457
BaseRepresentation
bin10100111101000110110…
…011101110111110100000
312002122220012211111121022
4110331012303232332200
5142043111003323130
63021310000345012
7206015410064645
oct24750663567640
95078805744538
101440002011040
1150577965a24a
121b30b9915168
13a5a3a2118a8
144d9a717bdcc
15276cede27e5
hex14f46ceefa0

1440002011040 has 192 divisors, whose sum is σ = 3557468678400. Its totient is φ = 550125305856.

The previous prime is 1440002011031. The next prime is 1440002011061. The reversal of 1440002011040 is 401102000441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416544992 + ... + 416548448.

It is an arithmetic number, because the mean of its divisors is an integer number (18528482700).

Almost surely, 21440002011040 is an apocalyptic number.

1440002011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440002011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778734339200).

1440002011040 is an abundant number, since it is smaller than the sum of its proper divisors (2117466667360).

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

1440002011040 is a wasteful number, since it uses less digits than its factorization.

1440002011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1440002011040 its reverse (401102000441), we get a palindrome (1841104011481).

The spelling of 1440002011040 in words is "one trillion, four hundred forty billion, two million, eleven thousand, forty".