Search a number
-
+
14241341032420 = 22523318911221253
BaseRepresentation
bin1100111100111101001000…
…0100101100011111100100
31212102110101112122200101211
43033033102010230133210
53331312231301014140
650142214243001204
72666621464313635
oct317172204543744
955373345580354
1014241341032420
1145a079a818387
121720098369204
137c3c500c9088
143733dac7d88c
1519a6b39522ea
hexcf3d212c7e4

14241341032420 has 96 divisors (see below), whose sum is σ = 32575749212160. Its totient is φ = 5213842529280.

The previous prime is 14241341032417. The next prime is 14241341032427. The reversal of 14241341032420 is 2423014314241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (14241341032427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4341487 + ... + 6879766.

It is an arithmetic number, because the mean of its divisors is an integer number (339330720960).

Almost surely, 214241341032420 is an apocalyptic number.

14241341032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14241341032420 is an abundant number, since it is smaller than the sum of its proper divisors (18334408179740).

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

14241341032420 is a wasteful number, since it uses less digits than its factorization.

14241341032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221405 (or 11221403 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14241341032420 its reverse (2423014314241), we get a palindrome (16664355346661).

The spelling of 14241341032420 in words is "fourteen trillion, two hundred forty-one billion, three hundred forty-one million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 89 92 115 124 155 178 230 310 356 445 460 620 713 890 1426 1780 2047 2759 2852 3565 4094 5518 7130 8188 10235 11036 13795 14260 20470 27590 40940 55180 63457 126914 253828 317285 634570 1269140 11221253 22442506 44885012 56106265 112212530 224425060 258088819 347858843 516177638 695717686 998691517 1032355276 1290444095 1391435372 1739294215 1997383034 2580888190 3478588430 3994766068 4993457585 5161776380 6957176860 8000753389 9986915170 16001506778 19973830340 22969904891 30959437027 32003013556 40003766945 45939809782 61918874054 80007533890 91879619564 114849524455 123837748108 154797185135 160015067780 229699048910 309594370270 459398097820 619188740540 712067051621 1424134103242 2848268206484 3560335258105 7120670516210 14241341032420