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14505400020 = 2235307811971
BaseRepresentation
bin11011000001001011…
…01101011011010100
31101102220110200001210
431200211231123110
5214201340300040
610355205021420
71022312602656
oct154045553324
941386420053
1014505400020
116173a13801
1229899b4870
1314a2234b47
149b86766d6
1559d6b6480
hex36096d6d4

14505400020 has 96 divisors (see below), whose sum is σ = 40839676416. Its totient is φ = 3846787200.

The previous prime is 14505400001. The next prime is 14505400057. The reversal of 14505400020 is 2000450541.

14505400020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14505400020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14938135 + ... + 14939105.

It is an arithmetic number, because the mean of its divisors is an integer number (425413296).

Almost surely, 214505400020 is an apocalyptic number.

14505400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14505400020 is an abundant number, since it is smaller than the sum of its proper divisors (26334276396).

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

14505400020 is a wasteful number, since it uses less digits than its factorization.

14505400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 14505400020 its reverse (2000450541), we get a palindrome (16505850561).

The spelling of 14505400020 in words is "fourteen billion, five hundred five million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 307 614 811 921 971 1228 1535 1622 1842 1942 2433 2913 3070 3244 3684 3884 4055 4605 4855 4866 5826 6140 8110 9210 9710 9732 11652 12165 14565 16220 18420 19420 24330 29130 48660 58260 248977 298097 497954 596194 746931 787481 894291 995908 1192388 1244885 1490485 1493862 1574962 1788582 2362443 2489770 2980970 2987724 3149924 3577164 3734655 3937405 4471455 4724886 4979540 5961940 7469310 7874810 8942910 9449772 11812215 14938620 15749620 17885820 23624430 47248860 241756667 483513334 725270001 967026668 1208783335 1450540002 2417566670 2901080004 3626350005 4835133340 7252700010 14505400020