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314040011304 = 23359245990191
BaseRepresentation
bin1001001000111100011…
…11100100101000101000
31010000120222200111111210
410210132033210220220
520121123220330204
6400133515153120
731455130024035
oct4443617445050
91100528614453
10314040011304
11111202443628
1250a434457a0
13237c98094c6
14112b1a7238c
158280097389
hex491e3e4a28

314040011304 has 64 divisors (see below), whose sum is σ = 798740352000. Its totient is φ = 102862777280.

The previous prime is 314040011287. The next prime is 314040011381. The reversal of 314040011304 is 403110040413.

It is a super-2 number, since 2×3140400113042 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3436849 + ... + 3527039.

It is an arithmetic number, because the mean of its divisors is an integer number (12480318000).

Almost surely, 2314040011304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314040011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399370176000).

314040011304 is an abundant number, since it is smaller than the sum of its proper divisors (484700340696).

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

314040011304 is a wasteful number, since it uses less digits than its factorization.

314040011304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92718 (or 92714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 314040011304 its reverse (403110040413), we get a palindrome (717150051717).

The spelling of 314040011304 in words is "three hundred fourteen billion, forty million, eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 2459 4918 7377 9836 14754 19672 29508 59016 90191 145081 180382 270573 290162 360764 435243 541146 580324 721528 870486 1082292 1160648 1740972 2164584 3481944 5321269 10642538 15963807 21285076 31927614 42570152 63855228 127710456 221779669 443559338 665339007 887118676 1330678014 1774237352 2661356028 5322712056 13085000471 26170000942 39255001413 52340001884 78510002826 104680003768 157020005652 314040011304