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1340966043648 = 2173372111937
BaseRepresentation
bin10011100000110111110…
…011100000000000000000
311202012021020012002111000
4103200313303200000000
5133432244301344043
62504010432052000
7165611250206100
oct23406763400000
94665236162430
101340966043648
11477778411110
12197a7a994000
13995b635815a
1448c90185200
1524d356322d3
hex13837ce0000

1340966043648 has 1728 divisors, whose sum is σ = 5450896684800. Its totient is φ = 321052999680.

The previous prime is 1340966043601. The next prime is 1340966043673. The reversal of 1340966043648 is 8463406690431.

It is a happy number.

1340966043648 is a `hidden beast` number, since 134 + 0 + 96 + 60 + 4 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×13409660436482 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1340966043594 and 1340966043603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36242325486 + ... + 36242325522.

It is an arithmetic number, because the mean of its divisors is an integer number (3154454100).

Almost surely, 21340966043648 is an apocalyptic number.

1340966043648 is a gapful number since it is divisible by the number (18) 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 1340966043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725448342400).

1340966043648 is an abundant number, since it is smaller than the sum of its proper divisors (4109930641152).

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

1340966043648 is an equidigital number, since it uses as much as digits as its factorization.

1340966043648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 1340966043648 in words is "one trillion, three hundred forty billion, nine hundred sixty-six million, forty-three thousand, six hundred forty-eight".