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1384243390728 = 23321173314391657
BaseRepresentation
bin10100001001001011010…
…101011110100100001000
311220022222022011002222200
4110021023111132210020
5140134412302000403
62535525043520200
7202002561453462
oct24111325364410
94808868132880
101384243390728
11494066341560
121a4338389060
13a06c23bac33
144add7b13132
1526019be4ca3
hex1424b55e908

1384243390728 has 192 divisors, whose sum is σ = 4100708851200. Its totient is φ = 418351703040.

The previous prime is 1384243390711. The next prime is 1384243390729. The reversal of 1384243390728 is 8270933424831.

It is a happy number.

1384243390728 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 243 + 390 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×13842433907282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1384243390729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835390476 + ... + 835392132.

It is an arithmetic number, because the mean of its divisors is an integer number (21357858600).

Almost surely, 21384243390728 is an apocalyptic number.

1384243390728 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 1384243390728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050354425600).

1384243390728 is an abundant number, since it is smaller than the sum of its proper divisors (2716465460472).

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

1384243390728 is a wasteful number, since it uses less digits than its factorization.

1384243390728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1384243390728 in words is "one trillion, three hundred eighty-four billion, two hundred forty-three million, three hundred ninety thousand, seven hundred twenty-eight".