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14114220300 = 22335219275131
BaseRepresentation
bin11010010010100010…
…11110100100001100
31100102122101200101000
431021101132210030
5212401220022200
610252312420300
71006522615215
oct151121364414
940378350330
1014114220300
115a93122684
12289a9a7690
13143c19115b
1497c72a40c
15579196300
hex34945e90c

14114220300 has 144 divisors (see below), whose sum is σ = 47762915200. Its totient is φ = 3565684800.

The previous prime is 14114220287. The next prime is 14114220377. The reversal of 14114220300 is 302241141.

14114220300 is a `hidden beast` number, since 1 + 411 + 4 + 220 + 30 + 0 = 666.

It is a super-2 number, since 2×141142203002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86266 + ... + 188865.

Almost surely, 214114220300 is an apocalyptic number.

14114220300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14114220300 is an abundant number, since it is smaller than the sum of its proper divisors (33648694900).

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

14114220300 is a wasteful number, since it uses less digits than its factorization.

14114220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275173 (or 275160 counting only the distinct ones).

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

Adding to 14114220300 its reverse (302241141), we get a palindrome (14416461441).

It can be divided in two parts, 141 and 14220300, that added together give a square (14220441 = 37712).

The spelling of 14114220300 in words is "fourteen billion, one hundred fourteen million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 275131 550262 825393 1100524 1375655 1650786 2476179 2751310 3301572 4126965 4952358 5227489 5502620 6878275 7428537 8253930 9904716 10454978 12380895 13756550 14857074 15682467 16507860 20634825 20909956 24761790 26137445 27513100 29714148 31364934 37142685 41269650 47047401 49523580 52274890 61904475 62729868 74285370 78412335 82539300 94094802 104549780 123808950 130687225 141142203 148570740 156824670 185713425 188189604 235237005 247617900 261374450 282284406 313649340 371426850 392061675 470474010 522748900 564568812 705711015 742853700 784123350 940948020 1176185025 1411422030 1568246700 2352370050 2822844060 3528555075 4704740100 7057110150 14114220300