Search a number
-
+
14478068304 = 24367177323
BaseRepresentation
bin11010111101111010…
…11100101001010000
31101101000001002000000
431132331130221100
5214122341141204
610352351130000
71021531356450
oct153675345120
941330032000
1014478068304
11615a546007
122980813900
13149968552b
149b4b9dd60
1559b0b8039
hex35ef5ca50

14478068304 has 140 divisors (see below), whose sum is σ = 48066152736. Its totient is φ = 4136567616.

The previous prime is 14478068303. The next prime is 14478068321. The reversal of 14478068304 is 40386087441.

It is a super-2 number, since 2×144780683042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14478068304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14478068303) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 7014 + ... + 170309.

Almost surely, 214478068304 is an apocalyptic number.

14478068304 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 14478068304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033076368).

14478068304 is an abundant number, since it is smaller than the sum of its proper divisors (33588084432).

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

14478068304 is an equidigital number, since it uses as much as digits as its factorization.

14478068304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177356 (or 177335 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14478068304 in words is "fourteen billion, four hundred seventy-eight million, sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 40824 81648 177323 354646 531969 709292 1063938 1241261 1418584 1595907 2127876 2482522 2837168 3191814 3723783 4255752 4787721 4965044 6383628 7447566 8511504 9575442 9930088 11171349 12767256 14363163 14895132 19150884 19860176 22342698 25534512 28726326 29790264 33514047 38301768 43089489 44685396 57452652 59580528 67028094 76603536 86178978 89370792 100542141 114905304 129268467 134056188 172357956 178741584 201084282 229810608 258536934 268112376 301626423 344715912 402168564 517073868 536224752 603252846 689431824 804337128 904879269 1034147736 1206505692 1608674256 1809758538 2068295472 2413011384 3619517076 4826022768 7239034152 14478068304