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314413311230310 = 23582337393405841
BaseRepresentation
bin100011101111101010000110…
…1101110101000000101100110
31112020020121201020212110210110
41013133110031232220011212
5312202321430133332220
63032411251533233450
7123140416645501245
oct10737241556500546
91466217636773713
10314413311230310
11911aaa334a6896
122b31b4a5932886
1310659081699426
14578d984c8a95c
152653929a83be0
hex11df50dba8166

314413311230310 has 64 divisors (see below), whose sum is σ = 755711110218240. Its totient is φ = 83719252753920.

The previous prime is 314413311230309. The next prime is 314413311230327. The reversal of 314413311230310 is 13032113314413.

It is a happy number.

It is a super-2 number, since 2×3144133112303102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90612990 + ... + 94018830.

It is an arithmetic number, because the mean of its divisors is an integer number (11807986097160).

Almost surely, 2314413311230310 is an apocalyptic number.

314413311230310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314413311230310 is an abundant number, since it is smaller than the sum of its proper divisors (441297798987930).

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

314413311230310 is a wasteful number, since it uses less digits than its factorization.

314413311230310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410413.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 314413311230310 its reverse (13032113314413), we get a palindrome (327445424544723).

The spelling of 314413311230310 in words is "three hundred fourteen trillion, four hundred thirteen billion, three hundred eleven million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 823 1646 2469 3739 4115 4938 7478 8230 11217 12345 18695 22434 24690 37390 56085 112170 3077197 3405841 6154394 6811682 9231591 10217523 15385985 17029205 18463182 20435046 30771970 34058410 46157955 51087615 92315910 102175230 2803007143 5606014286 8409021429 12734439499 14015035715 16818042858 25468878998 28030071430 38203318497 42045107145 63672197495 76406636994 84090214290 127344394990 191016592485 382033184970 10480443707677 20960887415354 31441331123031 52402218538385 62882662246062 104804437076770 157206655615155 314413311230310