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314414542512 = 24337103973063
BaseRepresentation
bin1001001001101001001…
…00010010111010110000
31010001120002102122202000
410210310210102322300
520122410110330022
6400235014454000
731500325341540
oct4446444227260
91101502378660
10314414542512
111113848a3454
1250b28964300
13238592a13c5
14113096c7320
1582a2dc96ac
hex4934912eb0

314414542512 has 80 divisors (see below), whose sum is σ = 1031412794880. Its totient is φ = 89832725568.

The previous prime is 314414542501. The next prime is 314414542549. The reversal of 314414542512 is 215245414413.

314414542512 is a `hidden beast` number, since 314 + 41 + 4 + 54 + 251 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 51983508 + ... + 51989555.

It is an arithmetic number, because the mean of its divisors is an integer number (12892659936).

Almost surely, 2314414542512 is an apocalyptic number.

It is an amenable number.

314414542512 is an abundant number, since it is smaller than the sum of its proper divisors (716998252368).

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

314414542512 is a wasteful number, since it uses less digits than its factorization.

314414542512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103973087 (or 103973075 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 314414542512 its reverse (215245414413), we get a palindrome (529659956925).

The spelling of 314414542512 in words is "three hundred fourteen billion, four hundred fourteen million, five hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 103973063 207946126 311919189 415892252 623838378 727811441 831784504 935757567 1247676756 1455622882 1663569008 1871515134 2183434323 2495353512 2807272701 2911245764 3743030268 4366868646 4990707024 5614545402 5822491528 6550302969 7486060536 8733737292 11229090804 11644983056 13100605938 14972121072 17467474584 19650908907 22458181608 26201211876 34934949168 39301817814 44916363216 52402423752 78603635628 104804847504 157207271256 314414542512