Search a number
-
+
14442210240 = 263515043969
BaseRepresentation
bin11010111001101001…
…01010001111000000
31101021111120021222120
431130310222033000
5214034201211430
610345030404240
71020614522133
oct153464521700
941244507876
1014442210240
116141284347
122970800680
13149210c043
149b010821a
15597d83610
hex35cd2a3c0

14442210240 has 56 divisors (see below), whose sum is σ = 45854020560. Its totient is φ = 3851255808.

The previous prime is 14442210217. The next prime is 14442210247. The reversal of 14442210240 is 4201224441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14442210240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442210247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7521025 + ... + 7522944.

Almost surely, 214442210240 is an apocalyptic number.

14442210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442210240 is an abundant number, since it is smaller than the sum of its proper divisors (31411810320).

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

14442210240 is a wasteful number, since it uses less digits than its factorization.

14442210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15043989 (or 15043979 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14442210240 its reverse (4201224441), we get a palindrome (18643434681).

The spelling of 14442210240 in words is "fourteen billion, four hundred forty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 15043969 30087938 45131907 60175876 75219845 90263814 120351752 150439690 180527628 225659535 240703504 300879380 361055256 451319070 481407008 601758760 722110512 902638140 962814016 1203517520 1444221024 1805276280 2407035040 2888442048 3610552560 4814070080 7221105120 14442210240