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1440340111440 = 2432531237127443
BaseRepresentation
bin10100111101011010111…
…101011111000001010000
312002200202210000210011100
4110331122331133001100
5142044304032031230
63021403315144400
7206026653641256
oct24753275370120
95080683023140
101440340111440
1150593249706a
121b3192ba5100
13a5a9228c6b9
144d9da02c5d6
15276ee92a660
hex14f5af5f050

1440340111440 has 720 divisors, whose sum is σ = 5185397827584. Its totient is φ = 357997086720.

The previous prime is 1440340111433. The next prime is 1440340111481. The reversal of 1440340111440 is 441110430441.

1440340111440 is a `hidden beast` number, since 144 + 0 + 3 + 401 + 114 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3251331859 + ... + 3251332301.

Almost surely, 21440340111440 is an apocalyptic number.

1440340111440 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 1440340111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592698913792).

1440340111440 is an abundant number, since it is smaller than the sum of its proper divisors (3745057716144).

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

1440340111440 is a wasteful number, since it uses less digits than its factorization.

1440340111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1440340111440 its reverse (441110430441), we get a palindrome (1881450541881).

The spelling of 1440340111440 in words is "one trillion, four hundred forty billion, three hundred forty million, one hundred eleven thousand, four hundred forty".