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114124124345 = 57111753383859
BaseRepresentation
bin110101001001001010…
…0111111000010111001
3101220120111200012102012
41222102110333002321
53332211233434340
6124232232015305
711150050023410
oct1522224770271
9356514605365
10114124124345
1144444102840
121a14bb31535
13a9b9a5a87a
145748c08477
152e7e1da565
hex1a9253f0b9

114124124345 has 128 divisors (see below), whose sum is σ = 184892129280. Its totient is φ = 65446318080.

The previous prime is 114124124333. The next prime is 114124124363. The reversal of 114124124345 is 543421421411.

It is not a de Polignac number, because 114124124345 - 220 = 114123075769 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 132856526 + ... + 132857384.

It is an arithmetic number, because the mean of its divisors is an integer number (1444469760).

Almost surely, 2114124124345 is an apocalyptic number.

It is an amenable number.

114124124345 is a deficient number, since it is larger than the sum of its proper divisors (70768004935).

114124124345 is a wasteful number, since it uses less digits than its factorization.

114124124345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its digits is 15360, while the sum is 32.

Adding to 114124124345 its reverse (543421421411), we get a palindrome (657545545756).

The spelling of 114124124345 in words is "one hundred fourteen billion, one hundred twenty-four million, one hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 5 7 11 17 35 53 55 77 85 119 187 265 371 383 385 583 595 859 901 935 1309 1855 1915 2681 2915 4081 4213 4295 4505 6013 6307 6511 6545 9449 9911 13405 14603 20299 20405 21065 29491 30065 31535 32555 45527 45577 47245 49555 66143 69377 71621 73015 101495 102221 142093 147455 160633 223289 227635 227885 318689 328997 330715 345083 346885 358105 500797 501347 511105 710465 773959 803165 1116445 1124431 1563023 1593445 1644985 1725415 2302979 2415581 2503985 2506735 3505579 3618967 3795913 3869795 5417713 5592949 5622155 7815115 8513549 11514895 12077905 17436841 17527895 18094835 18979565 25332769 26571391 27088565 27964745 39150643 42567745 59594843 61522439 87184205 122057887 126663845 132856955 191805251 195753215 296426297 297974215 307612195 430657073 610289435 959026255 1342636757 1482131485 2074984079 2153285365 3260689267 6713183785 10374920395 16303446335 22824824869 114124124345