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314323241330112 = 2637317363736921
BaseRepresentation
bin100011101111000000001010…
…1001001001110010111000000
31112012221000020010110110121220
41013132000111021032113000
5312144332444240030422
63032302034214515040
7123131050640125110
oct10736002511162700
91465830203413556
10314323241330112
1191175813382743
122b305b49665a80
1310650729241bb1
14578947c995040
1526514074eae5c
hex11de01524e5c0

314323241330112 has 112 divisors (see below), whose sum is σ = 950457895302912. Its totient is φ = 89806235535360.

The previous prime is 314323241330101. The next prime is 314323241330143. The reversal of 314323241330112 is 211033142323413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426167412 + ... + 426904332.

Almost surely, 2314323241330112 is an apocalyptic number.

314323241330112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314323241330112 is an abundant number, since it is smaller than the sum of its proper divisors (636134653972800).

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

314323241330112 is a wasteful number, since it uses less digits than its factorization.

314323241330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054306 (or 1054296 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 314323241330112 its reverse (211033142323413), we get a palindrome (525356383653525).

The spelling of 314323241330112 in words is "three hundred fourteen trillion, three hundred twenty-three billion, two hundred forty-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 317363 634726 736921 952089 1269452 1473842 1904178 2210763 2221541 2538904 2947684 3808356 4421526 4443082 5077808 5158447 5895368 6664623 7616712 8843052 8886164 10155616 10316894 11790736 13329246 15233424 15475341 17686104 17772328 20311232 20633788 23581472 26658492 30466848 30950682 35372208 35544656 41267576 47162944 53316984 60933696 61901364 70744416 71089312 82535152 106633968 123802728 141488832 142178624 165070304 213267936 247605456 330140608 426535872 495210912 990421824 233871459323 467742918646 701614377969 935485837292 1403228755938 1637100215261 1870971674584 2806457511876 3274200430522 3741943349168 4911300645783 5612915023752 6548400861044 7483886698336 9822601291566 11225830047504 13096801722088 14967773396672 19645202583132 22451660095008 26193603444176 39290405166264 44903320190016 52387206888352 78580810332528 104774413776704 157161620665056 314323241330112