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14240014110 = 2335746316273
BaseRepresentation
bin11010100001100010…
…10101111100011110
31100202102002200001000
431100301111330132
5213130420422420
610313004531130
71012611060060
oct152061257436
940672080030
1014240014110
116048131403
122914b50aa6
13145c26626a
14991313730
15585243690
hex350c55f1e

14240014110 has 128 divisors (see below), whose sum is σ = 43494543360. Its totient is φ = 3247630848.

The previous prime is 14240014069. The next prime is 14240014121. The reversal of 14240014110 is 1141004241.

14240014110 is a `hidden beast` number, since 14 + 240 + 0 + 1 + 411 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866934 + ... + 883206.

It is an arithmetic number, because the mean of its divisors is an integer number (339801120).

Almost surely, 214240014110 is an apocalyptic number.

14240014110 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 14240014110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747271680).

14240014110 is an abundant number, since it is smaller than the sum of its proper divisors (29254529250).

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

14240014110 is a wasteful number, since it uses less digits than its factorization.

14240014110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759 (or 16753 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14240014110 its reverse (1141004241), we get a palindrome (15381018351).

The spelling of 14240014110 in words is "fourteen billion, two hundred forty million, fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 463 630 926 945 1389 1890 2315 2778 3241 4167 4630 6482 6945 8334 9723 12501 13890 16205 16273 19446 20835 25002 29169 32410 32546 41670 48615 48819 58338 62505 81365 87507 97230 97638 113911 125010 145845 146457 162730 175014 227822 244095 291690 292914 341733 437535 439371 488190 569555 683466 732285 875070 878742 1025199 1139110 1464570 1708665 2050398 2196855 3075597 3417330 4393710 5125995 6151194 7534399 10251990 15068798 15377985 22603197 30755970 37671995 45206394 52740793 67809591 75343990 105481586 113015985 135619182 158222379 203428773 226031970 263703965 316444758 339047955 406857546 474667137 527407930 678095910 791111895 949334274 1017143865 1424001411 1582223790 2034287730 2373335685 2848002822 4746671370 7120007055 14240014110