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314118340404 = 2231123421245759
BaseRepresentation
bin1001001001000101110…
…10010111111100110100
31010000210110002000211120
410210202322113330310
520121303243343104
6400145354103540
731460100560541
oct4444272277464
91100713060746
10314118340404
11111242683420
1250a6571abb0
132380cb0319b
14112bc221bc8
158286dbacd9
hex4922e97f34

314118340404 has 96 divisors (see below), whose sum is σ = 836323246080. Its totient is φ = 90832156800.

The previous prime is 314118340399. The next prime is 314118340489. The reversal of 314118340404 is 404043811413.

314118340404 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1155277 + ... + 1401035.

It is an arithmetic number, because the mean of its divisors is an integer number (8711700480).

Almost surely, 2314118340404 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 314118340404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418161623040).

314118340404 is an abundant number, since it is smaller than the sum of its proper divisors (522204905676).

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

314118340404 is a wasteful number, since it uses less digits than its factorization.

314118340404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246221 (or 246219 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 314118340404 in words is "three hundred fourteen billion, one hundred eighteen million, three hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 421 506 759 842 1012 1263 1518 1684 2526 3036 4631 5052 9262 9683 13893 18524 19366 27786 29049 38732 55572 58098 106513 116196 213026 245759 319539 426052 491518 639078 737277 983036 1278156 1474554 2703349 2949108 5406698 5652457 8110047 10813396 11304914 16220094 16957371 22609828 32440188 33914742 62177027 67829484 103464539 124354054 186531081 206929078 248708108 310393617 373062162 413858156 620787234 746124324 1138109929 1241574468 2276219858 2379684397 3414329787 4552439716 4759368794 6828659574 7139053191 9518737588 13657319148 14278106382 26176528367 28556212764 52353056734 78529585101 104706113468 157059170202 314118340404