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14314413300110 = 25711194123864117
BaseRepresentation
bin1101000001001101010110…
…0001010001100110001110
31212200110000002000111020122
43100103111201101212032
53334011404301100420
650235541203144542
73005116335326150
oct320232541214616
955613002014218
1014314413300110
11461978814a660
121732290075152
137caac6bab9b1
14376b6d910ad0
1519c53db2e725
hexd04d585198e

14314413300110 has 128 divisors (see below), whose sum is σ = 34639244559360. Its totient is φ = 4123719244800.

The previous prime is 14314413300097. The next prime is 14314413300119. The reversal of 14314413300110 is 1100331441341.

It is a self number, because there is not a number n which added to its sum of digits gives 14314413300110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314413300119) 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, 11332229 + ... + 12531888.

It is an arithmetic number, because the mean of its divisors is an integer number (270619098120).

Almost surely, 214314413300110 is an apocalyptic number.

14314413300110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14314413300110 is an abundant number, since it is smaller than the sum of its proper divisors (20324831259250).

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

14314413300110 is a wasteful number, since it uses less digits than its factorization.

14314413300110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864202.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 14314413300110 its reverse (1100331441341), we get a palindrome (15414744741451).

The spelling of 14314413300110 in words is "fourteen trillion, three hundred fourteen billion, four hundred thirteen million, three hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 41 55 70 77 82 95 110 133 154 190 205 209 266 287 385 410 418 451 574 665 770 779 902 1045 1330 1435 1463 1558 2090 2255 2870 2926 3157 3895 4510 5453 6314 7315 7790 8569 10906 14630 15785 17138 27265 31570 42845 54530 59983 85690 119966 299915 599830 23864117 47728234 119320585 167048819 238641170 262505287 334097638 453418223 525010574 835244095 906836446 978428797 1312526435 1670488190 1837537009 1956857594 2267091115 2625052870 3173927561 3675074018 4534182230 4892143985 4987600453 6347855122 6849001579 9187685045 9784287970 9975200906 10762716767 13698003158 15869637805 18375370090 18590147143 21525433534 24938002265 31739275610 34245007895 34913203171 37180294286 49876004530 53813583835 68490015790 69826406342 75339017369 92950735715 107627167670 130131030001 150678034738 174566015855 185901471430 204491618573 260262060002 349132031710 376695086845 408983237146 650655150005 753390173690 1022458092865 1301310300010 1431441330011 2044916185730 2862882660022 7157206650055 14314413300110