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314087007366 = 2321123216011873
BaseRepresentation
bin1001001001000010000…
…10110110010010000110
31010000201021010010222200
410210201002312102012
520121222233213431
6400142314335330
731456240340556
oct4444102662206
91100637103880
10314087007366
11111226a22450
1250a5712a546
1323806482522
14112b7dc7166
15828427bee6
hex49210b6486

314087007366 has 144 divisors (see below), whose sum is σ = 776967910992. Its totient is φ = 90934272000.

The previous prime is 314087007361. The next prime is 314087007373. The reversal of 314087007366 is 663700780413.

It is a super-2 number, since 2×3140870073662 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314087007361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167691006 + ... + 167692878.

It is an arithmetic number, because the mean of its divisors is an integer number (5395610493).

Almost surely, 2314087007366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314087007366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388483955496).

314087007366 is an abundant number, since it is smaller than the sum of its proper divisors (462880903626).

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

314087007366 is a wasteful number, since it uses less digits than its factorization.

314087007366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

Adding to 314087007366 its reverse (663700780413), we get a palindrome (977787787779).

The spelling of 314087007366 in words is "three hundred fourteen billion, eighty-seven million, seven thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 529 759 1058 1518 1587 1601 1873 2277 3174 3202 3746 4554 4761 4803 5619 5819 9522 9606 11238 11638 14409 16857 17457 17611 20603 28818 33714 34914 35222 36823 41206 43079 52371 52833 61809 73646 86158 104742 105666 110469 123618 129237 158499 185427 220938 258474 316998 331407 370854 387711 405053 473869 662814 775422 810106 846929 947738 990817 1215159 1421607 1693858 1981634 2430318 2540787 2843214 2972451 2998673 3645477 4264821 5081574 5944902 5997346 7290954 7622361 8529642 8917353 8996019 9316219 10898987 15244722 17834706 17992038 18632438 21797974 26988057 27948657 32696961 32985403 53976114 55897314 65393922 65970806 68969479 83845971 98090883 98956209 137938958 167691942 196181766 197912418 206908437 296868627 413816874 593737254 620725311 758664269 1241450622 1517328538 1586298017 2275992807 3172596034 4551985614 4758894051 6827978421 9517788102 13655956842 14276682153 17449278187 28553364306 34898556374 52347834561 104695669122 157043503683 314087007366