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1343689482240 = 2133457471231
BaseRepresentation
bin10011100011011010001…
…000100110000000000000
311202110022000211002220000
4103203122020212000000
5134003334001412430
62505141000520000
7166035610102230
oct23433210460000
94673260732800
101343689482240
11478945756906
121984baa80000
139992b65a191
144906bb59cc0
1524e44796e60
hex138da226000

1343689482240 has 1120 divisors, whose sum is σ = 5626936111104. Its totient is φ = 300350177280.

The previous prime is 1343689482229. The next prime is 1343689482307. The reversal of 1343689482240 is 422849863431.

It is a happy number.

1343689482240 is a `hidden beast` number, since 1 + 3 + 43 + 6 + 89 + 482 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1091542425 + ... + 1091543655.

Almost surely, 21343689482240 is an apocalyptic number.

1343689482240 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 1343689482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813468055552).

1343689482240 is an abundant number, since it is smaller than the sum of its proper divisors (4283246628864).

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

1343689482240 is an equidigital number, since it uses as much as digits as its factorization.

1343689482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1343689482240 in words is "one trillion, three hundred forty-three billion, six hundred eighty-nine million, four hundred eighty-two thousand, two hundred forty".