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1440130443312 = 24311316110311399
BaseRepresentation
bin10100111101001110011…
…101101010100000110000
312002200020011111112120010
4110331032131222200300
5142043341343141222
63021330425214520
7206021526536031
oct24751635524060
95080204445503
101440130443312
11505835100320
121b3134931440
13a5a5a9cb912
144d9ba250a88
15276db31180c
hex14f4e76a830

1440130443312 has 320 divisors, whose sum is σ = 4265327001600. Its totient is φ = 414702720000.

The previous prime is 1440130443293. The next prime is 1440130443317. The reversal of 1440130443312 is 2133440310441.

It is a self number, because there is not a number n which added to its sum of digits gives 1440130443312.

It is not an unprimeable number, because it can be changed into a prime (1440130443317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1029399189 + ... + 1029400587.

It is an arithmetic number, because the mean of its divisors is an integer number (13329146880).

Almost surely, 21440130443312 is an apocalyptic number.

1440130443312 is a gapful number since it is divisible by the number (12) 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 1440130443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132663500800).

1440130443312 is an abundant number, since it is smaller than the sum of its proper divisors (2825196558288).

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

1440130443312 is a wasteful number, since it uses less digits than its factorization.

1440130443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1440130443312 its reverse (2133440310441), we get a palindrome (3573570753753).

The spelling of 1440130443312 in words is "one trillion, four hundred forty billion, one hundred thirty million, four hundred forty-three thousand, three hundred twelve".