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314040240040 = 235232291490603
BaseRepresentation
bin1001001000111100100…
…00011100011110101000
31010000121000010010021111
410210132100130132220
520121123300140130
6400133524120104
731455131665642
oct4443620343650
91100530103244
10314040240040
1111120258a46a
1250a43536034
13237c9889657
14112b1ad1892
1582800e002a
hex491e41c7a8

314040240040 has 64 divisors (see below), whose sum is σ = 740532067200. Its totient is φ = 119629754112.

The previous prime is 314040240029. The next prime is 314040240043. The reversal of 314040240040 is 40042040413.

It is a junction number, because it is equal to n+sod(n) for n = 314040239993 and 314040240020.

It is not an unprimeable number, because it can be changed into a prime (314040240043) 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 15 ways as a sum of consecutive naturals, for example, 534622 + ... + 955981.

It is an arithmetic number, because the mean of its divisors is an integer number (11570813550).

Almost surely, 2314040240040 is an apocalyptic number.

It is an amenable number.

314040240040 is an abundant number, since it is smaller than the sum of its proper divisors (426491827160).

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

314040240040 is a wasteful number, since it uses less digits than its factorization.

314040240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490866 (or 1490862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 314040240040 its reverse (40042040413), we get a palindrome (354082280453).

The spelling of 314040240040 in words is "three hundred fourteen billion, forty million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 229 230 458 460 916 920 1145 1832 2290 4580 5267 9160 10534 21068 26335 42136 52670 105340 210680 1490603 2981206 5962412 7453015 11924824 14906030 29812060 34283869 59624120 68567738 137135476 171419345 274270952 341348087 342838690 682696174 685677380 1365392348 1371354760 1706740435 2730784696 3413480870 6826961740 7851006001 13653923480 15702012002 31404024004 39255030005 62808048008 78510060010 157020120020 314040240040