Search a number
-
+
14200553403000 = 2332532853755291
BaseRepresentation
bin1100111010100101001011…
…1100001111001001111000
31212021120002222112102110100
43032221102330033021320
53330130213132344000
650111351050315400
72663645644221306
oct316512274171170
955246088472410
1014200553403000
11458546a208738
1217141b4728b60
137c014cb05503
1437144bc47276
151995c7c38a00
hexcea52f0f278

14200553403000 has 192 divisors, whose sum is σ = 48000420580320. Its totient is φ = 3786613056000.

The previous prime is 14200553402993. The next prime is 14200553403037. The reversal of 14200553403000 is 30435500241.

14200553403000 is a `hidden beast` number, since 1 + 4 + 200 + 5 + 53 + 403 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 256805355 + ... + 256860645.

Almost surely, 214200553403000 is an apocalyptic number.

14200553403000 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 14200553403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24000210290160).

14200553403000 is an abundant number, since it is smaller than the sum of its proper divisors (33799867177320).

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

14200553403000 is a wasteful number, since it uses less digits than its factorization.

14200553403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83855 (or 83838 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 14200553403000 its reverse (30435500241), we get a palindrome (14230988903241).

The spelling of 14200553403000 in words is "fourteen trillion, two hundred billion, five hundred fifty-three million, four hundred three thousand".