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14304014424 = 2333718152267
BaseRepresentation
bin11010101001001010…
…11111000001011000
31100220212112012222000
431110211133001120
5213243311430144
610323212401000
71014316054650
oct152445370130
940825465860
1014304014424
116080274827
122932476160
13146c5b3c7b
14999a13360
1558ab86769
hex35495f058

14304014424 has 128 divisors (see below), whose sum is σ = 45661324800. Its totient is φ = 4064204160.

The previous prime is 14304014393. The next prime is 14304014429. The reversal of 14304014424 is 42441040341.

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 (14304014429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247539 + ... + 299805.

It is an arithmetic number, because the mean of its divisors is an integer number (356729100).

Almost surely, 214304014424 is an apocalyptic number.

14304014424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14304014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830662400).

14304014424 is an abundant number, since it is smaller than the sum of its proper divisors (31357310376).

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

14304014424 is a wasteful number, since it uses less digits than its factorization.

14304014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52470 (or 52460 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14304014424 its reverse (42441040341), we get a palindrome (56745054765).

It can be divided in two parts, 143040 and 14424, that added together give a cube (157464 = 543).

The spelling of 14304014424 in words is "fourteen billion, three hundred four million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 181 189 216 252 362 378 504 543 724 756 1086 1267 1448 1512 1629 2172 2534 3258 3801 4344 4887 5068 6516 7602 9774 10136 11403 13032 15204 19548 22806 30408 34209 39096 45612 52267 68418 91224 104534 136836 156801 209068 273672 313602 365869 418136 470403 627204 731738 940806 1097607 1254408 1411209 1463476 1881612 2195214 2822418 2926952 3292821 3763224 4390428 5644836 6585642 8780856 9460327 9878463 11289672 13171284 18920654 19756926 26342568 28380981 37841308 39513852 56761962 66222289 75682616 79027704 85142943 113523924 132444578 170285886 198666867 227047848 255428829 264889156 340571772 397333734 510857658 529778312 596000601 681143544 794667468 1021715316 1192001202 1589334936 1788001803 2043430632 2384002404 3576003606 4768004808 7152007212 14304014424