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2040330314 = 2112194179137
BaseRepresentation
bin111100110011100…
…1111100001001010
312021012020112000102
41321213033201022
513134311032224
6534243205402
7101363343611
oct17147174112
95235215012
102040330314
11957793400
1248b376862
13266928359
14154d96878
15be1cc4ae
hex799cf84a

2040330314 has 96 divisors (see below), whose sum is σ = 3700166400. Its totient is φ = 840153600.

The previous prime is 2040330307. The next prime is 2040330323. The reversal of 2040330314 is 4130330402.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 14892854 + ... + 14892990.

It is an arithmetic number, because the mean of its divisors is an integer number (38543400).

Almost surely, 22040330314 is an apocalyptic number.

2040330314 is a deficient number, since it is larger than the sum of its proper divisors (1659836086).

2040330314 is a wasteful number, since it uses less digits than its factorization.

2040330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2040330314 is about 45170.0156519787. The cubic root of 2040330314 is about 1268.3335892997. Note that the first 3 decimals are identical.

Adding to 2040330314 its reverse (4130330402), we get a palindrome (6170660716).

The spelling of 2040330314 in words is "two billion, forty million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 11 19 22 38 41 79 82 121 137 158 209 242 274 418 451 779 869 902 1501 1507 1558 1738 2299 2603 3002 3014 3239 4598 4961 5206 5617 6478 8569 9559 9922 10823 11234 16511 16577 17138 19118 21646 28633 33022 33154 35629 57266 61541 61787 71258 94259 106723 119053 123082 123574 181621 188518 205637 213446 238106 314963 363242 391919 411274 443743 629926 676951 679657 783838 887486 1173953 1309583 1353902 1359314 2262007 2347906 2619166 4524014 4881173 7446461 8431117 9762346 12913483 14892922 16862234 24882077 25826966 49764154 53692903 92742287 107385806 185484574 1020165157 2040330314