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1320304330314 = 233187118736977
BaseRepresentation
bin10011001101101000010…
…001010100011001001010
311200012221021112022012000
4103031220101110121022
5133112440402032224
62450312303531430
7164250241431564
oct23155021243112
94605837468160
101320304330314
11469a35413072
12193a732b9b76
1397672857b88
1447c90050334
15245267580c9
hex1336845464a

1320304330314 has 64 divisors (see below), whose sum is σ = 2937566062080. Its totient is φ = 439568363520.

The previous prime is 1320304330291. The next prime is 1320304330333. The reversal of 1320304330314 is 4130334030231.

1320304330314 is a `hidden beast` number, since 1 + 3 + 20 + 304 + 330 + 3 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 189233194 + ... + 189240170.

It is an arithmetic number, because the mean of its divisors is an integer number (45899469720).

Almost surely, 21320304330314 is an apocalyptic number.

1320304330314 is an abundant number, since it is smaller than the sum of its proper divisors (1617261731766).

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

1320304330314 is a wasteful number, since it uses less digits than its factorization.

1320304330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1320304330314 its reverse (4130334030231), we get a palindrome (5450638360545).

The spelling of 1320304330314 in words is "one trillion, three hundred twenty billion, three hundred four million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 1871 1873 3742 3746 5613 5619 6977 11226 11238 13954 16839 16857 20931 33678 33714 41862 50517 50571 62793 101034 101142 125586 188379 376758 3504383 7008766 10513149 13053967 13067921 21026298 26107934 26135842 31539447 39161901 39203763 63078894 78323802 78407526 94618341 117485703 117611289 189236682 234971406 235222578 352457109 352833867 704914218 705667734 24450080191 48900160382 73350240573 146700481146 220050721719 440101443438 660152165157 1320304330314