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14305311342 = 23772916111
BaseRepresentation
bin11010101001010100…
…11011101001101110
31100220221222010000000
431110222123221232
5213244124430332
610323300245130
71014333066030
oct152452335156
940827863000
1014305311342
116080a80163
1229329a07a6
13146c94938a
14999c6dc50
1558ad40b7c
hex354a9ba6e

14305311342 has 128 divisors (see below), whose sum is σ = 38050099200. Its totient is φ = 3946047840.

The previous prime is 14305311341. The next prime is 14305311343. The reversal of 14305311342 is 24311350341.

It is a happy number.

14305311342 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 5 + 311 + 342 = 666.

It is an interprime number because it is at equal distance from previous prime (14305311341) and next prime (14305311343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14305311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879867 + ... + 895977.

It is an arithmetic number, because the mean of its divisors is an integer number (297266400).

Almost surely, 214305311342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14305311342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025049600).

14305311342 is an abundant number, since it is smaller than the sum of its proper divisors (23744787858).

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

14305311342 is an equidigital number, since it uses as much as digits as its factorization.

14305311342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14305311342 its reverse (24311350341), we get a palindrome (38616661683).

The spelling of 14305311342 in words is "fourteen billion, three hundred five million, three hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 243 261 378 406 486 522 567 609 729 783 1134 1218 1458 1566 1701 1827 2187 2349 3402 3654 4374 4698 5103 5481 7047 10206 10962 14094 15309 16111 16443 21141 30618 32222 32886 42282 48333 49329 63423 96666 98658 112777 126846 144999 147987 225554 289998 295974 338331 434997 443961 467219 676662 869994 887922 934438 1014993 1304991 1401657 2029986 2609982 2803314 3044979 3270533 3914973 4204971 6089958 6541066 7829946 8409942 9134937 9811599 11744919 12614913 18269874 19623198 23489838 25229826 27404811 29434797 35234757 37844739 54809622 58869594 70469514 75689478 82214433 88304391 113534217 164428866 176608782 227068434 246643299 264913173 340602651 493286598 529826346 681205302 794739519 1021807953 1589479038 2043615906 2384218557 4768437114 7152655671 14305311342