Search a number
-
+
14124500454320 = 2451427148983093
BaseRepresentation
bin1100110110001001110111…
…0101010000101110110000
31212000021210201111022222022
43031202131311100232300
53322403434104014240
650012412251531012
72655314200635044
oct315423565205660
955007721438868
1014124500454320
114556192310743
12170150a759a68
137b5c1c643829
1436b8b539c024
151976260319b5
hexcd89dd50bb0

14124500454320 has 80 divisors (see below), whose sum is σ = 32884942416480. Its totient is φ = 5641981366272.

The previous prime is 14124500454299. The next prime is 14124500454329. The reversal of 14124500454320 is 2345400542141.

It is a happy number.

14124500454320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14124500454329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169942694 + ... + 170025786.

It is an arithmetic number, because the mean of its divisors is an integer number (411061780206).

Almost surely, 214124500454320 is an apocalyptic number.

14124500454320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124500454320 is an abundant number, since it is smaller than the sum of its proper divisors (18760441962160).

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

14124500454320 is a wasteful number, since it uses less digits than its factorization.

14124500454320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86022 (or 86016 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 14124500454320 its reverse (2345400542141), we get a palindrome (16469900996461).

The spelling of 14124500454320 in words is "fourteen trillion, one hundred twenty-four billion, five hundred million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1427 1489 2854 2978 5708 5956 7135 7445 11416 11912 14270 14890 22832 23824 28540 29780 57080 59560 83093 114160 119120 166186 332372 415465 664744 830930 1329488 1661860 2124803 3323720 4249606 6647440 8499212 10624015 16998424 21248030 33996848 42496060 84992120 118573711 123725477 169984240 237147422 247450954 474294844 494901908 592868555 618627385 948589688 989803816 1185737110 1237254770 1897179376 1979607632 2371474220 2474509540 4742948440 4949019080 9485896880 9898038160 176556255679 353112511358 706225022716 882781278395 1412450045432 1765562556790 2824900090864 3531125113580 7062250227160 14124500454320