Search a number
-
+
14243788720 = 245759942463
BaseRepresentation
bin11010100001111111…
…01111011110110000
31100202200012102211101
431100333233132300
5213132402214340
610313221454144
71012655130550
oct152077573660
940680172741
1014243788720
11604a27a317
122916271354
13145cc88365
14991a17160
1558573bc9a
hex350fef7b0

14243788720 has 80 divisors (see below), whose sum is σ = 37911859200. Its totient is φ = 4875316992.

The previous prime is 14243788709. The next prime is 14243788739. The reversal of 14243788720 is 2788734241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314209 + ... + 356671.

It is an arithmetic number, because the mean of its divisors is an integer number (473898240).

Almost surely, 214243788720 is an apocalyptic number.

14243788720 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 14243788720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955929600).

14243788720 is an abundant number, since it is smaller than the sum of its proper divisors (23668070480).

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

14243788720 is a wasteful number, since it uses less digits than its factorization.

14243788720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43082 (or 43076 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 14243788720 in words is "fourteen billion, two hundred forty-three million, seven hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 599 1198 2396 2995 4193 4792 5990 8386 9584 11980 16772 20965 23960 33544 41930 42463 47920 67088 83860 84926 167720 169852 212315 297241 335440 339704 424630 594482 679408 849260 1188964 1486205 1698520 2377928 2972410 3397040 4755856 5944820 11889640 23779280 25435337 50870674 101741348 127176685 178047359 203482696 254353370 356094718 406965392 508706740 712189436 890236795 1017413480 1424378872 1780473590 2034826960 2848757744 3560947180 7121894360 14243788720