Search a number
-
+
14115563000 = 2353711183319
BaseRepresentation
bin11010010010101101…
…00110010111111000
31100102201220220012122
431021112212113320
5212402041004000
610252401300412
71006540206620
oct151126462770
940381826178
1014115563000
115a9395a450
12289b334708
13143c541356
1497c999880
1557935e085
hex3495a65f8

14115563000 has 128 divisors (see below), whose sum is σ = 41181004800. Its totient is φ = 4399632000.

The previous prime is 14115562999. The next prime is 14115563009. The reversal of 14115563000 is 36551141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115563009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14660 + ... + 168659.

It is an arithmetic number, because the mean of its divisors is an integer number (321726600).

Almost surely, 214115563000 is an apocalyptic number.

14115563000 is a gapful number since it is divisible by the number (10) 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 14115563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590502400).

14115563000 is an abundant number, since it is smaller than the sum of its proper divisors (27065441800).

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

14115563000 is a wasteful number, since it uses less digits than its factorization.

14115563000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183358 (or 183344 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 14115563000 in words is "fourteen billion, one hundred fifteen million, five hundred sixty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 183319 366638 733276 916595 1283233 1466552 1833190 2016509 2566466 3666380 4033018 4582975 5132932 6416165 7332760 8066036 9165950 10082545 10265864 12832330 14115563 16132072 18331900 20165090 22914875 25664660 28231126 32080825 36663800 40330180 45829750 50412725 51329320 56462252 64161650 70577815 80660360 91659500 100825450 112924504 128323300 141155630 160404125 183319000 201650900 252063625 256646600 282311260 320808250 352889075 403301800 504127250 564622520 641616500 705778150 1008254500 1283233000 1411556300 1764445375 2016509000 2823112600 3528890750 7057781500 14115563000