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14455132432 = 2413211934481
BaseRepresentation
bin11010111011001011…
…11101000100010000
31101022101212210220021
431131211331010100
5214101003214212
610350211353224
71021132412146
oct153545750420
941271783807
1014455132432
1161485aaa44
122974bb2814
1314949b4a00
149b1b0d596
15599087307
hex35d97d110

14455132432 has 60 divisors (see below), whose sum is σ = 30359104884. Its totient is φ = 6664519680.

The previous prime is 14455132429. The next prime is 14455132441. The reversal of 14455132432 is 23423155441.

14455132432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 767068416 + 13688064016 = 27696^2 + 116996^2 .

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 11 ways as a sum of consecutive naturals, for example, 3223632 + ... + 3228112.

Almost surely, 214455132432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179552442).

14455132432 is an abundant number, since it is smaller than the sum of its proper divisors (15903972452).

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

14455132432 is a wasteful number, since it uses less digits than its factorization.

14455132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5689 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

Adding to 14455132432 its reverse (23423155441), we get a palindrome (37878287873).

The spelling of 14455132432 in words is "fourteen billion, four hundred fifty-five million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1193 1352 2386 2704 4481 4772 8962 9544 15509 17924 19088 31018 35848 58253 62036 71696 116506 124072 201617 233012 248144 403234 466024 757289 806468 932048 1514578 1612936 3029156 3225872 5345833 6058312 10691666 12116624 21383332 42766664 69495829 85533328 138991658 277983316 555966632 903445777 1111933264 1806891554 3613783108 7227566216 14455132432