Search a number
-
+
14453220432 = 2437163263899
BaseRepresentation
bin11010111010111101…
…01010010001010000
31101022021021200010110
431131132222101100
5214100011023212
610350102401320
71021110226620
oct153536522120
941267250113
1014453220432
116147514482
122974430240
131494495651
149b1772880
15598d0aa3c
hex35d7aa450

14453220432 has 80 divisors (see below), whose sum is σ = 42933363200. Its totient is φ = 4104141696.

The previous prime is 14453220421. The next prime is 14453220449. The reversal of 14453220432 is 23402235441.

14453220432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14453220432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77182 + ... + 186717.

It is an arithmetic number, because the mean of its divisors is an integer number (536667040).

Almost surely, 214453220432 is an apocalyptic number.

14453220432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14453220432 is an abundant number, since it is smaller than the sum of its proper divisors (28480142768).

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

14453220432 is a wasteful number, since it uses less digits than its factorization.

14453220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264080 (or 264074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 14453220432 its reverse (23402235441), we get a palindrome (37855455873).

The spelling of 14453220432 in words is "fourteen billion, four hundred fifty-three million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3912 4564 6846 7824 9128 13692 18256 27384 54768 263899 527798 791697 1055596 1583394 1847293 2111192 3166788 3694586 4222384 5541879 6333576 7389172 11083758 12667152 14778344 22167516 29556688 43015537 44335032 86031074 88670064 129046611 172062148 258093222 301108759 344124296 516186444 602217518 688248592 903326277 1032372888 1204435036 1806652554 2064745776 2408870072 3613305108 4817740144 7226610216 14453220432