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14122401030 = 234579832659
BaseRepresentation
bin11010010011100001…
…01011110100000110
31100110012210022020000
431021300223310012
5212410313313110
610253204022130
71006652266563
oct151160536406
940405708200
1014122401030
115a977aaa11
1228a1691946
131440a9691a
1497d85986a
15579c601c0
hex349c2bd06

14122401030 has 160 divisors (see below), whose sum is σ = 38932185600. Its totient is φ = 3672122688.

The previous prime is 14122401001. The next prime is 14122401049. The reversal of 14122401030 is 3010422141.

14122401030 is a `hidden beast` number, since 1 + 412 + 240 + 10 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14122400994 and 14122401012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5309841 + ... + 5312499.

It is an arithmetic number, because the mean of its divisors is an integer number (243326160).

Almost surely, 214122401030 is an apocalyptic number.

14122401030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122401030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466092800).

14122401030 is an abundant number, since it is smaller than the sum of its proper divisors (24809784570).

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

14122401030 is a wasteful number, since it uses less digits than its factorization.

14122401030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14122401030 its reverse (3010422141), we get a palindrome (17132823171).

The spelling of 14122401030 in words is "fourteen billion, one hundred twenty-two million, four hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 83 90 135 158 162 166 237 249 270 395 405 415 474 498 711 747 790 810 830 1185 1245 1422 1494 2133 2241 2370 2490 2659 3555 3735 4266 4482 5318 6399 6557 6723 7110 7470 7977 10665 11205 12798 13114 13295 13446 15954 19671 21330 22410 23931 26590 31995 32785 33615 39342 39885 47862 59013 63990 65570 67230 71793 79770 98355 118026 119655 143586 177039 196710 210061 215379 220697 239310 295065 354078 358965 420122 430758 441394 531117 590130 630183 662091 717930 885195 1050305 1062234 1076895 1103485 1260366 1324182 1770390 1890549 1986273 2100610 2153790 2206970 2655585 3150915 3310455 3781098 3972546 5311170 5671647 5958819 6301830 6620910 9452745 9931365 11343294 11917638 17014941 17435063 17876457 18905490 19862730 28358235 29794095 34029882 34870126 35752914 52305189 56716470 59588190 85074705 87175315 89382285 104610378 156915567 170149410 174350630 178764570 261525945 313831134 470746701 523051890 784577835 941493402 1412240103 1569155670 2353733505 2824480206 4707467010 7061200515 14122401030