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14210324514 = 23217307331457
BaseRepresentation
bin11010011110000000…
…00101100000100010
31100200100020021120100
431033000011200202
5213100320341024
610310024323230
71012100523351
oct151700054042
940610207510
1014210324514
1160323a3151
122907013516
13145606c659
1498b3c5998
1558282b7c9
hex34f005822

14210324514 has 96 divisors (see below), whose sum is σ = 32876940096. Its totient is φ = 4420500480.

The previous prime is 14210324489. The next prime is 14210324537. The reversal of 14210324514 is 41542301241.

14210324514 is a `hidden beast` number, since 1 + 42 + 103 + 2 + 4 + 514 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31094574 + ... + 31095030.

It is an arithmetic number, because the mean of its divisors is an integer number (342468126).

Almost surely, 214210324514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14210324514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438470048).

14210324514 is an abundant number, since it is smaller than the sum of its proper divisors (18666615582).

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

14210324514 is a wasteful number, since it uses less digits than its factorization.

14210324514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14210324514 its reverse (41542301241), we get a palindrome (55752625755).

It can be divided in two parts, 14210 and 324514, that added together give a square (338724 = 5822).

The spelling of 14210324514 in words is "fourteen billion, two hundred ten million, three hundred twenty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 307 331 457 614 662 914 921 993 1371 1842 1986 2742 2763 2979 4113 5219 5526 5627 5958 7769 8226 10438 11254 15538 15657 16881 23307 31314 33762 46614 46971 50643 69921 93942 101286 101617 139842 140299 151267 203234 280598 302534 304851 420897 453801 609702 841794 907602 914553 1262691 1361403 1727489 1829106 2385083 2525382 2571539 2722806 3454978 4770166 5143078 5182467 7155249 7714617 10364934 14310498 15429234 15547401 21465747 23143851 31094802 42931494 46287702 46438969 92877938 139316907 278633814 417950721 789462473 835901442 1578924946 2368387419 4736774838 7105162257 14210324514